Datasets:
ttlynne
/
PhyX_mini_MC_embedding

Dataset card Data Studio Files
xet
Community
index
int64
0
999
image
stringlengths
4.4k
871k
question
stringlengths
189
2.04k
answer
stringclasses
4 values
category
stringclasses
6 values
subfield
stringclasses
26 values
reasoning_type
stringclasses
20 values
embedding
listlengths
4.1k
4.1k
900
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
Charge \q_2 is in static equilibrium. What is \q_1?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -12nC B: 20nC C: -20nC D: 5nC
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.037841796875, 0.004058837890625, -0.0242919921875, -0.0086669921875, -0.006744384765625, 0.01513671875, -0.0311279296875, 0.0130615234375, -0.0289306640625, 0.0040283203125, 0.01214599609375, 0.0032806396484375, 0.0025634765625, 0.01177978515625, -0.01385498046875, -0.023193359375, ...
901
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
Two point charges on threads repel each other. What is the angle \( heta \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3^\circ B: 9^\circ C: 4.4^\circ D: 2^\circ
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.02099609375, 0.03173828125, -0.030517578125, 0.00061798095703125, -0.01953125, 0.01531982421875, -0.031494140625, -0.018798828125, -0.0517578125, 0.0096435546875, -0.0177001953125, 0.024169921875, -0.01092529296875, -0.007232666015625, 0.024658203125, -0.01348876953125, -0.02954101...
902
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
Two point charges on threads repel each other. What is the charge?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.35\mu\{C} B: 0.55\mu\{C} C: 0.75\mu\{C} D: 1.75\mu\{C}
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.031982421875, 0.01324462890625, -0.0150146484375, -0.005096435546875, -0.02880859375, 0.00738525390625, 0.000782012939453125, -0.0224609375, -0.0242919921875, 0.0213623046875, 0.005523681640625, 0.02197265625, 0.0038299560546875, -0.00628662109375, -0.0113525390625, -0.016357421875, ...
903
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
What is the magnitude of the electric fields at point 1? What is the magnitude of the electric fields at point 1?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.25 \times 10^{3}N/C B: 1.35 \times 10^{5}N/C C: 1.8 \times 10^{5}N/C D: 5.33 \times 10^{5}N/C
C
Electromagnetism
Electrostatics
['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning']
[ 0.0361328125, 0.011962890625, -0.03759765625, -0.00506591796875, -0.02587890625, 0.01153564453125, 0.00286865234375, -0.00010395050048828125, -0.0289306640625, 0.01141357421875, -0.01708984375, 0.0196533203125, -0.0032958984375, 0.01397705078125, 0.001556396484375, 0.000074386596679687...
904
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
An electric field \( \vec{E} = 100{,}000\,\hat{i}\,\mathrm{N/C} \) causes the point charge in figure to hang at a angle. What is the charge on the ball?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.35\mu\{C} B: 0.55\mu\{C} C: 0.18\mu\{C} D: 0.75\mu\{C}
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.031494140625, 0.004547119140625, -0.018798828125, -0.00119781494140625, -0.0286865234375, 0.0123291015625, -0.005767822265625, -0.0228271484375, -0.03515625, 0.0115966796875, -0.0020294189453125, 0.017333984375, -0.00119781494140625, -0.00823974609375, -0.00445556640625, -0.006408691...
905
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
An electric field \( \vec{E} = 200{,}000\,\hat{i}\,\mathrm{N/C} \) causes the point charge in figure to hang at a angle. What is the charge on the ball?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3^\circ B: 9^\circ C: 14^\circ D: 20^\circ
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0211181640625, 0.0196533203125, -0.0167236328125, -0.003509521484375, -0.02099609375, 0.026611328125, -0.0303955078125, -0.0169677734375, -0.04736328125, 0.02001953125, -0.0115966796875, 0.0181884765625, -0.002838134765625, -0.003631591796875, 0.0242919921875, -0.01080322265625, -0...
906
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
The identical small spheres shown in figure hang as shown in a \( 100{,}000\,\mathrm{N/C} \) electric field. What is the mass of each sphere?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3g B: 4.4g C: 4.1g D: 5.2g
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.015625, 0.0086669921875, -0.0113525390625, 0.00665283203125, -0.00689697265625, 0.0419921875, -0.016845703125, -0.018310546875, -0.0211181640625, -0.0115966796875, 0.00762939453125, -0.00390625, -0.0203857421875, -0.006866455078125, 0.015380859375, -0.0177001953125, -0.029541015625...
907
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
The force on the -1.0 nC charge is as shown in Figure What is the magnitude of this force?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 7.25 \times 10^{-4}N B: 6.35 \times 10^{-4}N C: 1.7 \times 10^{-4}N D: 1.33 \times 10^{-4}N
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0224609375, 0.0234375, -0.034912109375, 0.01397705078125, -0.0174560546875, 0.03369140625, -0.0146484375, -0.01129150390625, -0.032470703125, 0.0172119140625, -0.0150146484375, 0.023681640625, 0.005126953125, 0.006378173828125, -0.006683349609375, -0.0181884765625, -0.04150390625, ...
908
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
Two electrodes are spaced apart. They are charged by transferring \( 1.0\times10^{11} \) electrons from one electrode to the other. An electron is released from rest at the surface of the negative electrode. Assume the space between the electrodes is a vacuum. What is its speed as it collides with the positive electrode?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{7}m/s B: 5.3 \times 10^{7}m/s C: 3.3 \times 10^{7}m/s D: 3.5 \times 10^{7}m/s
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0361328125, -0.006103515625, -0.0157470703125, -0.004638671875, -0.01129150390625, 0.030029296875, -0.01385498046875, 0.025146484375, -0.0274658203125, 0.0198974609375, -0.02392578125, 0.0439453125, -0.009521484375, 0.00860595703125, 0.01275634765625, 0.005615234375, -0.029296875, ...
909
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
An electron gun creates a beam of electrons moving horizontally with a speed of \( 3.3\times10^{7}\,\mathrm{m/s} \). The electrons enter a gap between two parallel electrodes with a electric field. By what angle, is the electron beam deflected by these electrodes?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3^\circ B: 9^\circ C: 9.1^\circ D: 20^\circ
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0191650390625, 0.01708984375, -0.0146484375, -0.006072998046875, -0.01397705078125, 0.033935546875, -0.0361328125, 0.0010986328125, -0.041259765625, 0.013916015625, -0.020263671875, 0.03955078125, -0.0069580078125, -0.000743865966796875, 0.035400390625, -0.0028228759765625, -0.0197...
910
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
Two balls are connected by a \( 2.0\,\mathrm{cm} \)-long insulating rod of negligible mass. The rod is held in a uniform electric field at an angle with respect to the field, then released. What is its initial angular acceleration?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3rad/s^2 B: 2rad/s^2 C: 5rad/s^2 D: 6rad/s^2
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.03466796875, 0.0004253387451171875, -0.0260009765625, -0.00014400482177734375, -0.004119873046875, 0.027587890625, -0.02197265625, -0.022216796875, -0.037841796875, 0.021484375, -0.013427734375, 0.0196533203125, -0.00689697265625, 0.0120849609375, 0.0228271484375, -0.001617431640625,...
911
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
The water molecule \(\mathrm{H_2O}\) has a permanent dipole moment of magnitude \(6.2\times10^{-30}\,\mathrm{C\,m}\). A water molecule is located some distance from a \(\mathrm{Na^+}\) ion in a saltwater solution. What force does the ion exert on the water molecule?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{-14}N B: 5.3 \times 10^{-14}N C: 1.8 \times 10^{-14}N D: 3.5 \times 10^{-14}N
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0250244140625, 0.005859375, -0.0257568359375, -0.004608154296875, -0.016845703125, 0.035400390625, -0.00775146484375, -0.0050048828125, -0.04052734375, 0.006134033203125, -0.01165771484375, 0.034423828125, -0.00909423828125, -0.0010833740234375, -0.006500244140625, 0.007476806640625,...
912
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
In a vacuum chamber, a proton orbits a \(1.0\,\mathrm{cm}\)-diameter metal ball \(1.0\,\mathrm{mm}\) above the surface with a period of \(1.0\,\mu\mathrm{s}\). What is the charge on the ball?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -1.3 \times 10^{-12}C B: 5.3 \times 10^{-14}C C: -9.9 \times 10^{-12}C D: 3.5 \times 10^{-14}C
C
Electromagnetism
Electrostatics
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.0269775390625, 0.0084228515625, -0.013916015625, -0.01263427734375, -0.01080322265625, 0.01300048828125, -0.0091552734375, -0.003936767578125, -0.030517578125, 0.0146484375, -0.0079345703125, 0.0166015625, -0.006011962890625, -0.00909423828125, 0.0038299560546875, 0.0037994384765625,...
913
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
What is the strength of the electric field at the position indicated by the dot? What is the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{3}N/C B: 5.3 \times 10^{3}N/C C: 7.6 \times 10^{3}N/C D: 3.5 \times 10^{3}N/C
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.03662109375, 0.01092529296875, -0.02587890625, -0.0027923583984375, -0.0235595703125, 0.013916015625, -0.0004253387451171875, 0.00946044921875, -0.025634765625, 0.004852294921875, -0.01275634765625, 0.0284423828125, -0.0029754638671875, 0.00142669677734375, -0.0002574920654296875, 0....
914
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
What is the strength of the electric field at the position indicated by the dot? What is the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{3}N/C B: 5.3 \times 10^{3}N/C C: 1.2 \times 10^{3}N/C D: 3.5 \times 10^{3}N/C
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.036865234375, 0.013916015625, -0.031982421875, -0.007049560546875, -0.0257568359375, 0.019287109375, 0.004669189453125, 0.0076904296875, -0.0283203125, 0.0050048828125, -0.01153564453125, 0.033935546875, -0.00518798828125, 0.00970458984375, 0.00390625, 0.003936767578125, -0.0250244...
915
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
What is the strength of the electric field at the position indicated by the dot? What is the strength of the electric field at the position indicated by the dot?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.3 \times 10^{3}N/C B: 5.3 \times 10^{3}N/C C: 1.0 \times 10^{4}N/C D: 3.5 \times 10^{3}N/C
C
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.031494140625, 0.01434326171875, -0.02783203125, -0.01275634765625, -0.02392578125, 0.0224609375, 0.0019683837890625, 0.01324462890625, -0.037353515625, 0.003387451171875, -0.0130615234375, 0.028076171875, -0.00179290771484375, 0.0093994140625, 0.00130462646484375, 0.007659912109375, ...
916
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
A copper wire carries a steady current to an electroplating tank. Find the magnetic field due to a 1.0 cm segment of this wire at a point 1.2 m away from it, if the point is point $P_2$, in the $xy$-plane and on a line at $30^\circ$ to the segment.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.3 \times 10^{-8} , \text{T}) \hat{k} B: -2.15 \times 10^{-8} , \text{T}) \hat{k} C: -4.3 \times 10^{-8} , \text{T}) \hat{k} D: -4.7 \times 10^{-8} , \text{T}) \hat{j}
C
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0274658203125, 0.0081787109375, -0.00058746337890625, 0.0034942626953125, -0.00555419921875, 0.039794921875, -0.0177001953125, 0.0185546875, -0.0196533203125, -0.000339508056640625, -0.0196533203125, 0.040283203125, 0.01806640625, 0.0255126953125, 0.01043701171875, 0.0125732421875, ...
917
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
The magnetic field between the poles of the electromagnet in figure is uniform at any time, but its magnitude is increasing at the rate of $0.020 \, \text{T/s}$. Find the induced current in the circuit.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.024mA B: -0.024mA C: 0.048mA D: -0.048mA
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.02685546875, 0.002532958984375, -0.020263671875, 0.003082275390625, -0.0205078125, 0.00726318359375, -0.01446533203125, -0.006744384765625, -0.037109375, 0.008056640625, -0.0125732421875, 0.0172119140625, -0.000301361083984375, 0.00872802734375, 0.00665283203125, -0.0028533935546875,...
918
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
Figure shows a U-shaped conductor in a uniform magnetic field $\vec{B}$ perpendicular to the plane of the figure and directed into the page. We lay a metal rod (the “slidewire”) with length $L$ across the two arms of the conductor, forming a circuit, and move it to the right with constant velocity $\vec{v}$. This induces an emf and a current, which is why this device is called a slidewire generator Find the magnitude and direction of the resulting induced emf.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: BLv B: \frac{Bv}{L} C: -BLv D: \frac{L}{Bv}
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0225830078125, -0.030029296875, 0.00799560546875, -0.0167236328125, -0.0036468505859375, 0.006256103515625, -0.00994873046875, -0.004058837890625, -0.01385498046875, -0.0021209716796875, -0.0159912109375, 0.031005859375, -0.00579833984375, 0.00384521484375, 0.0159912109375, -0.007293...
919
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
In the slidewire, energy is dissipated in the circuit owing to its resistance. Let the resistance of the circuit (made up of the moving slidewire and the U-shaped conductor that connects the ends of the slidewire) at a given point in the slidewire's motion be $R$. Find the rate at which energy is dissipated in the circuit.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{BLv}{R} B: \frac{B^2 L v^2}{R} C: \frac{B^2 L^2 v^2}{R} D: \frac{B^2 L^2 v}{R^2}
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0230712890625, 0.00095367431640625, -0.0103759765625, 0.0045166015625, 0.004913330078125, -0.0030975341796875, -0.00872802734375, -0.0164794921875, -0.0106201171875, 0.0164794921875, -0.0263671875, 0.01031494140625, -0.0184326171875, 0.007232666015625, 0.01495361328125, -0.0023193359...
920
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALeAxIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAopG3FTtIDY4JGQDXI6V4g1WPx7f+HNYa1cG2W6spYIjHvTOGBBZuQfftR1sHS519FYnhu71W6gvhq32ZpILySKKS3BCugxg4PcEkH3FbdABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXCeM7O+Txn4X1LSog93untWz0CMmdzeynJ//XXYaml9JptwmmTQw3pT9zJMpZFb3AqvplhdREXeqTxXGoMgRniQrGg7hASSATySTk/gADqHQt2NoljZRW0ZLLGuCzdWPcn3JyT9asUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZ8Os2k+uXWjoX+1WsSTSZX5dr5xg/ga0K47S/+Sr+IP8AsH2v83oA7GiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArjtL/AOSr+IP+wfa/zeuxrjtL/wCSr+IP+wfa/wA3oA7GiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqGa6t7eSGOe4iieZtkSu4UyNjOFB6nA6CsrxJ4mtPDdpG8qPcXlw3l2llCMy3D+ij09T2rN8P8Ahm8l1IeI/EzpPrLKRBAhzFYof4E9W9W7/wAwDraKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqre6nYabH5l/fW1qn96eVUH5k0AWqK55/HHh4cQ3zXZ7fY7eScH8UUioW8awn/UaJrE/0hSP/ANGOtRKrCPxNIpRk9kdPRXKHxdft9zw3dD/rpcwj+TGm/wDCVayenh2LH+1fgf8AslZPFUF9tfeV7KfY62uO0v8A5Kv4g/7B9r/N6kHirWR97w7Hj/Zvwf5oK5rTvEl3F8R9aum0K6d5LK3VoYpoiygF+cswBzn1prE0XtJA6U10PUqK5hfGsA/1+jaxB9bdZP8A0WzVMnjjw6f9dfm1Pf7ZBJb4/F1ArSNWEvhaZLjJbo6Giqllqmn6km+wvra6X+9BMrj9DVurJCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArn/E3imLQVhtLaBr7WLv5bSwiPzSH+8x/hQd2PpUPiXxS+m3MWj6Pbi/1+5XMNsD8sS/89JT/AAoPzPQVJ4Z8LJojTX97cG/1u75ur6Qcn/YQfwoOwHp9MAEPhvwtLZXcmua5Ot9r9wuHmA+S3T/nnEOyj16nvXUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUU2SRIo2kkdURRlmY4AHqTQA6iuVufGQuSY9AtPt/b7XI3l2w+jYJf/gII9xWVPYXWq5bW9QlvFP/AC7RZhtx7bAct/wMtXJWxtKlo3d9kawozmdDe+MdHtZnt4ZpL+6Q4aCxQzFT6MR8qn/eIrMl8QeIb3/j1srTTYz0e6Yzyf8AfCEKP++mpsMENtCsMESRRKMKkahQPoBUF3qmn2H/AB+X1tb/APXaVU/ma82pmVWbtTVvxZ1Rw0F8RHJY3l5zqWtajcg/8s45fs6fTEW0kfUmi20PS7OTzINPtklPWTywXP1Y8n86gHiLT5f+PUXV2e32W0llB/4Eq4/WpBqOoSf6nw7qj+7GGMf+PSA/pXLL6zU+K5ovZx2NKis8S68/3NCVP+u14i/+ghqXb4lPTSdN/HUX/wDjNR9Wq9vxRXtIl+iqGPEg66Tpx/3dRf8ArCKQy68v3tCRv+ud6p/mBR9Wq9vxQe0iaFZsGkCDxDeat5xJuYY4jHt+7tzzn3zQdR1CP/X+HdTT3QwyD/x2Qn9Kqr4u0j7XLZzSz291CAZYZraRSgPQn5cAc+tHsasb2Qc8H1NyiqVprGm35xZ6hazt/djlViPwBq7WLTWjLvcoXWiaXevvudPtpJByJDENw+jdRSR6bNac6dq+p2eOii4Myf8AfMu4AfTFaFFaQr1IfDJolwjLdEUeseJrP7/9n6nGOxVraT8xuUn8Fq9F43sY/l1S0vdMPd54t8X/AH8TcoH+8RVaiuynmdaPxamMsNB7aHU2t3bX1utxaXEVxC33ZInDqfoRxU1efyaJZG4a5t1ksrpuTPZyGFz/AL23hvowIq3Bq/iLTcCTyNYgH97EFwB9R8jH8E+tehSzGjPSWjOeeGnHbU7WisXTPFWl6nOLUSva3p/5dLtfLlP0B4ce6kj3rarvTTV0c7VtwooopgFFFFABRRRQAUUUUAFFFFABRRXI+K/FbWLtpWlMG1Fh+8kxkWwPf3cjoO3U8YDAFvXPGVho10bNIpry8GN8UGMR56bmJwOOcDJ6cc1FpPjmx1G+SyubeexnkbbEZcFJD6BgeD7EDPbNc9oeghV82bLFiWZnOSxPJJJ6knvWf4uhtIbSYo5TapbevVSOcj3HWnYD0PRvDmn6HJdzWqO9zeSmW4uZm3ySEngFvQdAOgrWqG0aV7OBpxiYxqXGMYbHP61NSAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAopk00VvC808iRxRqWd3YBVA6kk9BXFah4hu9bR10+Z9P0gDL3zfJLOP+mefuL/tnk9gOGrOrVhSjzTZUIObsjZ1fxTb2Fw1hZQtf6kBkwRthYs9DI/RB7csewNc9NZXGqyCfXrhbvadyWqDbbRf8A/jI/vNn2Aqpp8rSwC38Nacj22STdzEpCSerA4LSk+o4P8AerSj8LpckPrV3JqJ6+Rjy7cf9swfm/4GWryq1atW0Xux/E6oQhDzZUOvWTSGGwWXUJVODHZR+YFPoW+4v4kVMlr4hvudtppcR/v5uJfyBCqfxauiiijgiWKKNY41GFRBgAewp9YxoU49L+pbqSZgL4Vhl51DUdRvfVWn8pP++YwuR9c1o2Wi6Xp3/Hlp1rAepaOJQSfUnGTV6itVpoiAooooAKKKKACiiigAJwMmvFfDGuyz/F6bVXOLTVd1vGx/u/MIvz8kfnXpHjW6vIvD7WenI5vdQkWziZVJEe/guSOgC5OfXFcTqugLBqGuWemrtm0rTbK4tDjkPCWI/EgEfjXRSSs79SJbnpl7pOm6kMX1ha3P/XaFX/mKzW8JaenNjNe2Df8ATtcttH/AG3J/47WnpeoRarpVpqEH+quYllX2yM4q3WDvsyznG0vX7Xm31C0vkH8F1EYnP/A0yP8AxyoH1a4s/wDkJ6TeWoHWWNfPi+uUyQPdgK6qispUact0WpyXUwbS+tL+HzrO5huI/wC9E4YfpVinX3h3StQmM8tqEuf+fmBjFL/32uD+B4rPfS9b0/mzu4tShH/LK7/dyge0ijB/FfxrnlhX9lmiq9y9RWZDrdv9oW1vY5dPu2OFhugF3n/YYZV/+Ak1p1zShKLtJGiaexBd2VrfwGC7t454jztkUEZ9R6H3qK2k1nRcf2dd/bLUf8ud85JA9El5YfRtw+lXKK0pYipSd4MmdOM90aeleKbDU7gWcgkstQxn7JcgKzepQg7XHupPvityuIvLG11CDybuBJo85AYdD2IPY+45pLXUdY0LADS6tp4/5ZSMPtMQ/wBlzxIPZsH/AGj0r2cPmUJ+7U0f4HHUwzjrHU7iiqOlaxYa1bGexuBIFO2RCCrxt/ddTyp9iKvV6RzBRRRQAUUUUAFFFcj4r8VtYu2laUwbUWH7yTGRbA9/dyOg7dTxgMAHivxW1i7aVpTBtRYfvJMZFsD393I6Dt1PGA2JoWhBB5suSSSzM5yWJ5JJPUk85o0LQgg82XJJJZmc5LE8kknqSec1oatq0VlAY4yBgUxBq2rRWUBjjIGBVPwz4em165j1fUlK2CsHt4W6zkchj/sdx/e/3fvN8OeHJPEMyapqiH+zs7oYG/5eP9ph/c9B/F/u/e9H6DAoGFFFFIAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKrahqFrpdjLe3syw28Qyzt+gA6kk8ADkmk1HUbTSdPmvr6dYLaFdzyN0A/qewHevOI01bx7qCand+dp2jRtm0i6SMP749GI/j7A4X++c6lRQV2VGPMx2paxeeJdQEBs3mEZDw6WGwsfdZLp+QD3Cc49GPI1rfwys7rca3P8Ab5gdywbdtvGfZP4iPVsn0xWvY6faaZarbWUCQwrztUdT3JPUk9yeTVmvLlJylzPf+tux1JWVkAGBgdKKKKkAooooAKKKKACiiigAooooAKKKKACuT04A/E3XQRkGwtv5vXWVymnf8lO1z/rwtv5vVx2Ymb+l6XaaNp0VhYxmO2izsQsWxkknk+5NXKKKlu4wooopAFFFFAEVza297bvb3UEc8LjDRyoGU/UGsGTw7dWHz6JebIx/y5XbF4vorfeT9R/s10dFDSasxrTY5eHWFW5Sz1GCTT7xjhI5iNsp/wCmbjhvp19QK0q0Luztr+2e2u4I54HGGjkUMD+Brn5dI1HSPn0qRr20HWyuJP3ij/pnIev+6/8A30K5amGT1h9xrGr3NCiqdjqdtqAdYmZJojiWCVSkkZ9GU8j69D2zVyuNpxdmap32KVzpwkuVvbWaSz1BBhLmHGSP7rA8Ovsfwwea1dL8VMLiPT9djjtbtzthuEJ8i4PopP3G/wBk/gWqvUVxbw3du9vcRJLDIMMjjII9xXXhsbOjpuuxlUoxnr1O0orhrLVb3w0RHcGe/wBHH8Ry89qP5yIP++h/tDp2ltdQXttHc2syTQSqGSSNgysPUEV9BRrQrR5oM4JwlB2ZLRRXJeK/FbWLtpelsG1Fh+8kxkWwPf3cjoO3U8YDakB4r8VtYu2l6WwbUWH7yTGRbA9/dyOg7dTxgNh6FoQQebLkkkszOclieSST1JPOaNC0IIPNlySSWZnOSxPJJJ6knvWhq2rRWUBjjIGBTEGratFZQGOMgYFUfDnhyTxDMmqaoh/s7O6GBv8Al4/2mH9z0H8X+7948OeHJPEMyapqiH+zs7oYG/5eP9pv9j0H8X+7970foMCgYdBgUUUUgCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqtf39rpllLeXsyw28Qyzt/IepPQAck0t9fW2m2M15eSrFbwrud27D+p7Y71y0EFzrV7Hq2qxtGkZ3WVi/SAdncd5CP++c4HOSc6lRU1dlRi5Mgeyn8UXsWoa1A0djC2+y02Tse0sw7v6L0UepzW/RRXmTm5u7OlRSVkFFFFQMKKKKACiiigArP1fV7fR7QyyndI3EcYPLH/D3o1fV7fSLQzTHc54jjB5Y/wCHvXBQw6h4o1YsxyT95/4Y1/z2r1suy5Vk61Z2prd9zxs0zN0GqFBc1WWy7f1/wXoWNPutb1rV2e3upY2Y5dlJ2Iv06fhXocaskSqzmRgMFyACx9eKradp1vpdotvbrgDlmPVj6mrdZZjjIYiaVOKUVtpr/XkbZZgZ4Wm3Vk5Tlq9dPl/mFFFFecemFFFFABXKad/yU7XP+vC2/m9dXXKad/yU7XP+vC2/m9XHZ+gmdXRRRUDCiiigAooooAKKKKACiiigDN1TRLXVSkr74LuIfurqE7ZI/bPceqnIPpWMb670mZbfWwgjYhYr+MYikPYOP+WbfXg9j2rq6ZLFHPC8M0ayROCrI4yGB7Ed6mcIzVpFRk47GZRWZPp134ezJYJLeaWPvWmS0tuPWPuy/wCweR/D/dq7a3dvfWyXNrKssLjKup4NefVoyp+h0RmpE1UIheaDdPe6QnmQSNuudPzhZD3ePsr/AKN3weav0UUa06UuaDCcFNWZW1nx5DPZJb6BIXvJh88jJj7L2IZT/wAtP9k9Op4wGztC0IIPNlySSWZnOSxPJJJ6knvSanoxa8Gq6cqC+UASRscJcqP4W9G9G7d8ipZfE1rLpxNuGiZCUlikGHiYdVYev6HqOK+jwuKhXjdb9UebVpOm/Iuatq0VlAY4yBgVR8OeHJPEMyapqiH+zs7oYG/5eP8Aab/Y9B/F/u/ePDnhyTxDMmqaoh/s3O6GBv8Al4/2m/2PQfxf7v3vR+gwK6jMOgwKKKKQBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAU13WNGd2CooJZmOAB6mnVyetXB8Qai+iwk/wBm2zD+0JB0lbqIB7dC/the5xM5KKuxpXdkQxyP4nvYtTnBXS4G3WEDDHmntO4/9AHYc9SMbNAAAAAwB2oryqk3OV2dUYqKsgooqC7vrSwhE15dQW0RO0PNIEGfTJqBk9FYl34t0S3tZJotV0+dkGfLS8j3MO+OeuO3etHTtRtNWsIr2xnSe3lGVde/+BquV2uF0WqKKKkArP1fVrfSLQzTHLniOMHlj/h70uratb6RaGaY5c8Rxg8uf8964GKLUPFOrFmPP8TfwxL6f/W7162XZeqydas7U1u+542Z5m6DVCguarLZdvN/1+ARRah4p1YsxyT95v4Yl9P/AK3evQtO0630u0W3t1wByzHqx9TRp2nW+l2i29uuAOWY9WPqat1OY5i8Q1Tpq1NbIrLMsWFTq1XzVJbv9EFFFFeWeuFFFFABRRRQAVymnf8AJTtc/wCvC2/m9dXXKad/yU7XP+vC2/m9XHZ+gmdXRRRUDCiiigAooooAKKKKACiiigAooooAK5/UtEmguZNT0YIty53XFqx2x3Pv/sv6N36HsR0FFDSasxnPWGoQ6jCzxb0dG2SwyDa8Td1Ydj/PqMirdR6xor3Mw1HTnSDU4127m+5Oo/gkx29D1Xt3Br6dqKX8cgMbQXMLbJ7eT70Teh9QeoI4I5rgrUOTWOxvCfNo9y5WHrOgxXd1FqUNvHLdQkF4JCVjukHOx8foefQggkVuUVnTqSpyUovUqUVJWZ0Gj6ta61pyXdqWAyUkicYeJx1Rh2I/+uODV+uBk+1aTfnWNNQySEAXdqv/AC8oPT/povY9+h7EdrYX9tqlhDe2colt5l3Iw/kR2I6EdjX0mGxMa8OZb9TzatN03Ys0UUV0mYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAY/iLVpNMsEjtAr6jdv5FojcjeRksf9lQCx+mOpFU9M0+PTLCK1jZn25LyP96Rycs7e5JJP1qlp8n9tatc663zQc21h6CEH5nH++wzn+6qVsV52Jqc0uVbI6KcbK4UUUVzGgVl6x4j0rQFRtUujbI/3XaJypPpuAIz7VqV5P8AG/UiunaZpEZy88pmYD0UYH6sfyq6ceaSj3B6Js7Kbxd4Y1KyWJ9WWO3uvkWRg8Syc8gOwA56HBroreOGG3jjt0RIVUBFjACgdsY7V494muLPWPCmk+CvDq/b7+HyzJsG1Y9qnJJbAySa9R8N6bNo/hvT9OuJfNmt4FR2ByMj09u1XOCjG67/AIdyIyba9PuNSqGratb6RaGaY5Y8JGDy5/z3pdV1W30i0M8xyx4SMdXP+e9cDHFqHirVizH/AHm/hiX0/wA9a78vy9Vr1qztTW77nlZnmbw7VCguarLZdvN/1+ARRah4q1Ysx/3m/hiX0/8Ard69B07TrfS7Rbe3XCjlmPVj6mjTtOt9LtFt7dcKOWY9WPqat0swzB4hqnTVqa2RWWZYsKnVqvmqS3f6IKKKK8s9YKKKKACiiigAooooAK5TTv8Akp2uf9eFt/N66uqUWlWsOsXOqIrfariNIpCW4KrnHH4mqi7Jgy7RRRUgFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFY2s6M93Il/YOsOpwrhHb7sq9fLk9VPY9VPI7g7NFAzndO1BNQgZtjQzxN5c8D/eicdVP8wehBBHWrlQ63pUzTDVdMUf2hEu14icLdRj+BvQjna3Y+xNNsb2HUbRLmAnY2QQwwysOCrDsQcgj2rgr0eR3WxvCfNo9yxVGC8PhfUXvQT/AGRcvm8TtA5/5bD2/v8A/fXY5vUjKrqVYBlIwQRkEVNCvKjNTiOcFNWZ14IYAggg8gjvS1x3hm+bSb1fD9y5Ns4LabIx6ActCT6qOV9VyP4a7Gvp6VSNSCnHZnmSi4uzCiiitCQopCcAnnj0qvp+o2eq2MV7YXEdxbSjKSRnIP8AgfbtQBZooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5/xZdS/Y4NJtXKXWpuYd6nmOIDMrj3C8D/aZa6CuRtpP7U8SahqfWG2/wBAtv8AgJzKw+r/AC/9shWVafJBsqEbs0oYY7eCOCFAkUahEReiqBgAU+iivKOoKKKKACvFdWkTxT8c7S1Dq9tZOq9eD5YLt/49xXtDosiMjqGRhhlYZBHoayP+ET8M7gP+Ef0ncef+POPP8q0pTUJcwpq8bdzy34mTf23490mx0H99qUAxJJByVbcCASP7vX2zXrmp6pBpFj51y258YVB1dvaq1y2keGbNpobO2tt3CxwRKhc+nArjI49Q8V6sWY8fxN/DEvp/nrXq4HBKvBTq+7Tje77+SPHzPMXQl7KiuarLRLt5v+vwCOPUPFWrFmP+838MS+n+etegadp1vplotvbrhRyzHqx9TRp2nW+mWi29uuFHJY9WPqat1lmGYfWLU6atTWyLyzLFhk6tV81SW7/RBRRRXlnrBRRRQAUUUUAFFFFABRRRQAyYM0LhJPLbBw+M7ffFcD4Q1vxP4pttSul1Cyiht7hobdjZlhLjufnGB06etdF411X+xvB2qXgba4hKRn/ab5R+przuyfW/CWheGtNN9Ha6bqxxNPFb/vYHfBxuYkHr1wMY9q2pR5k++yJm7W+/5HdeB/Fc3iixu/tVukN3ZTmCbyiSjEd1zz+FdTWV4f8AD2n+GtNFjp6MELF3d23PIx6sx9a1aibi5e7sON7ahRRRUDCiiigAooooAKKKKACiiigAoorH17XotHt9q4e6cfJH6e59v51rRozrTVOmrtmVevToU3UqOyRsUVwGgHWtU1BpY76eOLdulkJyv0APGf5V346etdGNwf1Sfs3JN+XQ5svx31ym6ig4rpfr6BXM6zato93JrVohNs+P7QgUZ4HHnKP7wH3vVR6gZ6ajrXE0mrPY707aox0dJI1kjYMjAFWU5BB7inVlLD/wj2qLYdNMu2Jsz2hk6mH6Hkr+I7CtWvMq03TlY6Yy5lcq6hZLf2hhLtFIGDxTJ96KQHKuPcH/AAroPDestq+nN9pVY7+2fybuJegcD7w/2WGGHsfUGsms+4uG0PU49djz5KqIr9APvQZ+/wDVCS30LDuK7cvxPs58ktn+ZjiKfNHmW6O/opFZXUMrBlYZBByCKWvoDzwr5guPEesfDf4i6zDpkubUXblrSQkxSIx3Lkdjgjkc/hkV9P187+PvDj698ZdQ0y2x9ou7QSxf9dEg3Afjsx+NA0eoeEvin4e8UokLTrp+oHg2ty4G4/7DdG/Q+1dxXg3grwv4d+I/hmS2v4nstf04iKW4g+V5F/gZ1PDHggnr8vXmvVfBHhq78KaAdNvNUl1FxMzJI5OFTAAUAk4HGcepNAjpKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA5G70vxjp17PdaPrVvqFvJI0n2DU4tuzJzhJU5HoARgVEvxATTnEXijR77Q3zjz3XzrYn2lTI/MCuzpGVXQo6hlYYIIyCKAK9jqFnqdstzYXcF1A3SSGQOp/EVZrk774eaHNcteactxo18f8Al40yUwk/VR8pH1FV/wDivNB72XiW0X6Wt1j9Ub9CaAO0ork7L4h6HLcrZ6kbjRb4/wDLvqcRhz9GPykfjXVo6yIHRgysMhgcgigDO8Qai2k6Be30Y3SxRHyl/vSHhF/FiB+NZmlWC6ZpVrZK27yYwrOert3Y+5OT+NHiZ/teq6NpQ5UytezD/YixtH/fx4z/AMBNXK4cXLVRN6S0uFFFFcZqFFFFACEgAknAHUmuFHioJ4jmvGDPbCNoo0X06g/iR+tbHi/VPsWm/ZY2xNc5Bx2Tv+fT868/RHkcJGrM7HAVRkmvp8ly6FSjKrWWktF6dWfJZ9mk6deFGg9Y6v16I2I0v/FerkscDuf4Yl9v8816Bp2nW+mWi29uuFHJY9WPqa5DSfB13IyzXkzWy/3EPzn8eg/WuytLGCxj2QoR6sxLMfqTXPnGJpStRoz91dEtPvvqdWR4WtC9avT96X2m9futp8yxRRRXgH0YUUUUAFFFFABRRRQAUUUUAFFFFAHHeP8Aw7rPimwt9OsGsY7VZllmM8zqz4/hwEPHPXNW/FnhqXxN4RbTQILe8Xa8B3kpG69Pm25xjI6d66asi21prjxVf6MYQq2tvFMJd3Lby3GPbFWpStZdNQ63+RZ0ddRj0uCPVRbm8RArtBIWVyB97lQRn0q9RRUt3dwSsrBRRRSAKKKKACiiigAooooAKKKyNe12HR7fAw9y4/dx/wBT7VrRozrTVOmrtmVevToU3UqOyQmva9Do9vgYe6cfu4/T3Pt/OuM0vS7zxHqLzTO3l7syzH+Q9/5UumaZeeJNReaZ28vdmWY/yHv/ACr0S1tYbK2S3t0CRoMACvfqVKeVU/ZUtar3fb+v+Cz5ulSq5xV9tW0orZd/66v5LqwtbSGytkt7dAkaDAAqaiivnJScnd7n1EYqKUYqyQUUUUhlTUtOg1XT5bO4B2SDhlOGRgchlPYggEH1FYelXc8izWV9j7fZt5c+BgOP4ZAPRhz7HI7V09c/4ktXtzHrlqhaa0UrOijJlt+rDHcr94fQj+Ks6tP2kbdehcJcrLVIyhlKsAQRgg96SORJokljcPG6hlZTkEHoRTq8w6STwfdtatP4emYk2iiSzYnlrcnAX6ofl+mz1rq64DVDNaG31e1Qvc6exl2L1liIxJH+K8j/AGgtd1bXEV3axXNvIJIZkEkbr0ZSMgj8K+lwVf21LXdbnm16fJLTYlrh5vA11J8V7bxet5D9njiMbQFTv/1bJwenU5ruKK7DE8T8RD/hXHxgtNejHl6RrGVucfdUkgSfkdr/AJ17WCCAQcg9CK5L4leGR4o8FXltGm67tx9otsDneoPA+oyPxFUPhF4lPiDwPBFNJuu9PP2aXJ5KgfI3/fOB9VNAHe0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFe9sLPUrZra+tYLmBusc0YdT+BrlH+H0enuZvC+sX2hyE58mNvOtifeJ8j8iK7OigDyldZ8Taf4m1G51bSRqyWiR2T3GldVwPNJ8pjkkiRc4OBtrodJ8X6HrUnk2l+i3IOGtpgYpQfTY2D+VS+HG8+wub3veXtxOD6qZGCf+OKtSat4e0jXY9mp6fBc4GA7Lh1+jDkfga8yrKMpu50xTSNOiuR/4RfWtI+bw74hm8odLLUx58X0D/fUfnR/wl+o6T8viTQLm1Qdbyy/0iDHqcfMo+orPkv8AC7lX7nXUjusaM7sFVRkk9hVHS9b0zWoPO02/guk7+U4JX6jqPxq5NDHPE0Uqh0bqp6H60krO0gd7e7ucC9jfeK9WlukUx2udqyOOAo6Aep7/AI11+laHZaTH+5TdKR80r8sf8BWiqhVCqAFAwABwKWu/FZlVrRVKPuwWiS/Xuebg8qpUJutP3qj1bf6LoFFFFecemFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcpp3/JTtc/68Lb+b11dcpp3/JTtc/68Lb+b1cdn6CZ1dFFFQMKKKKACqV5q+mafIsd7qNpbSMNwWadUJHrgmrtYur+LNE0GdYdUvfsrsMrvifDfQgYP4U0ruwEN54z0Gzkg3apYyQyNsaSO5RjGT0yAc4Pr24+o3wQwBBBB5BFc2/iDwxq15ZJNqERbPmW8VwGjWRuzAOBuI7fX6V0tVJWWwk7sKKKydd12HR7bs9y4/dx/wBT7VVGjOtNU6au2Z169OhTdSo7JCa7rsOj2/Z7lx+7j/qfauM0zTLzxJqLzzu3l7syzH+Q9/5UaZpl54l1F553by92ZZj/ACHv/KvRLW1hsrZLe3QJGgwAK9+pUp5VT9lS1qvd9v6/4LPm6VKrnFVVqytRWy7/ANf8BdWFraw2VslvboEjQYAFTUUV85KTk7vc+ojFRSjFWSCiiikMKKKKACiiigDlLKL+x9Vm0Y8W7Kbix9oyfmjH+4xGP9llHatWmeJLGW609bq0TdfWT/aIAP4yBhk/4EpK/Ug9qZaXUV9Zw3UDboZkDofUEZFcWJhaXOupvSldWJqk8HXH2R7zQXPFqfPtfeByfl/4CwZfYbajrPvp/wCytQsNaBwlrJ5VyfWCTAfPspCP/wAANaYCt7Osk9noTXhzQ9Dv6KKK+jPOCvFtHB8AfHC50r7mma4N0I6AFiSn5PuQexr2mvKvjho8r6HYeIrTK3WlzjLr1CMRg/g4X8zQB6rRWZ4d1iLxB4d0/VosbbqFZCB/C38S/gcj8K06ACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqtqN0LHTLu7PSCF5T/wABUn+lWawvGjEeCdaUHBks5Igfdl2/1oAo+HrY2fhrS7c/eitIlP1CjP61pUgAVQoGABgClrxm7u52BRRRSAwNU8F6Fqs/2l7P7NeDlbu0Ywyg+u5cZP1zVD+zvGGic6fqkGtWy/8ALvqK+XMB6CVeCfdhXXUVam9nqKyOTi8eWdtKsGv2N5ok5OAbpN0LH/ZlXKn8cV09vcwXcCz208c0LcrJG4ZT9CKdLFHNE0UsayRsMMrjII9xXM3HgLS1na60ea60W6bkvYSbEY/7Uf3SPbAo91+QanU0VyP2jxpon/HxbWmv2o/5aW5FvcY9Sh+U/QEVa0/xzod7cC0nnk06972uoRmB/wBeD+BNHI+moXOkooByMjpRUDCiiigAooooAKKKKACiiigAooooAK5TTv8Akp2uf9eFt/N66uuU07/kp2uf9eFt/N6uOz9BM6uiiioGFFFFABXi3xeu11Lxbo2h+YFjjAaVv7u9gMn6Bc/jXtBIAJJwB1JrxbwrInif40ajqzOrQWnmPGSeMLiNf05rfDr3+btqTUdoPz0JvGrR+Pr7S9D8LILkWOfOuMbEiBAAGTgnGO3tXr9rE0FpDCzl2jRVLnqxAxmvGdQkbXfjdbTeH/mW2eMXM8P3SF++SR7fL716rrmuQ6NbZOHuHH7uP+p9q1VKdXkp01dvp/XQxq1qdBSqVHZRX9fMNc1yHRrbPD3Lj93H/U+1cZpmmXniXUXnndvL3ZlmP8h7/wAqNN0288S6i887t5e7Msp/9BH+eK9DtbWGytkt7dAkaDAAr16lSnlVP2VLWq932/r/AIL7Hz9KlVziqq1ZWorZd/6/4C6sLW1hsrZLe3QJGgwAKmoor52UnJ3e59PGKilGKskFFFFIYUUUUAFFFFABRRRQAVytpH/ZetXmldIXzeWvsjH51H+65z9HUV1VYHiqIw2lvrEY+fTpPMkx3hPEo/Bfm+qCpnDni4lRdncs1HcQR3VtLbzLuilQo6nuCMEU8EEAggg9CKWvK2Oo0vCF9JeeHYI7h913Zs1pOT1LxnG4/wC8Nrf8CrdrjvD832LxbeWhOI9Qt1uU/wCukeEf8SrRf98muxr6vD1Pa0oz7nlVI8smgrP1zS49b0G/0yXGy6geLJ/hJHB/A4P4VoUVsQeUfAzVJDoWpaBc5W4025JCHqqtnI/Blb869Xrxm1H/AAin7Q80I+S11qIsB2Jcbs/9/EI/GvZqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArn/Gv/Iq3C/3pYE/OZB/Wugrn/Gv/ACLT+13aH/yYjpS2Y1uT0UUV4x1hRRRQAUUUUAFFFFABVTUNMsNVtzBqFnBdRf3ZkDAfTPSrdFPYDkT4Kl0w7/DOt3mmAci1kP2i3+mxuR9QaP8AhIPEmjca5oBuoR1vNIbzB9TE3zD36111FVz3+LUVuxkaR4o0TXfl0/UYZZR96EnZIv1Q4P6Vr1kav4X0XXfm1HToZZR92YDbIv0cYP61kf8ACPeI9G50LXzdQjpZ6spkH0Eq/MP1otF7OwanXUVyI8azaYdnibRLzTAOt1EPtFv9d68r9CK6PT9UsNWtxPp95BdRf3oXDAfXHSk4tbjui3RRRUgFFFFABRRRQAVymnf8lO1z/rwtv5vXV1ymnf8AJTtc/wCvC2/m9XHZ+gmdXRRRUDCiiigCO4t4LuB4LmGOaFxh45FDKw9CDwayh4T8NBsDw/pO4c8Wcef5VqzzR20Ek8rbY41LMfYVwll4seC81C6ljLtOB5SZ4UjOB9MH9K78Jga2JjKVLpb5u/8ATPPxuY0MJOEar+K/ySX+eh0epX2neGLIpa2sEUr/AOrhhQICfUgdq5LTdNvfE2ovcXDt5e7Msp/9BX/PFGm6deeJtSee4kbywcyy+n+yP88V6Ha2sNnbpb26BI0GABXqVKlPK6bp03eq932/r/gvojx6VKpnFVVaq5aMdl3/AK/4C6sLW1hs7ZLe3jCRoMACpqKK+dlJyd3ufTxiopRirJBRRRSGFFFFABRRRQAUUUUAFFFFABTZI0mieKRQyOpVlPQg9RTqKAOV0EvFYvp8zFptPla1YnqVXBRj9UKH8a1KoXifYvF6t0j1G2x/21iP8yr/APjlX687ER5aj8zppu8TP1GX7FeaXqY4+yXiBz/0zk/dNn2Afd/wGu/rhdTsxqGlXdmePPhaPPoSMA11OgagdV8Padftw9xbRyOPRioyPwORXr5XUvTcOz/M5MVG0kzRooor1DlPH/jdbyabd+HPFFuv72zufLY+pBEiD/x1/wA69ct547q2iuIjujlQOh9QRkVxfxc03+0vhvqeFzJbbLhfbaw3f+OlqufDPUv7U+HWizFstHB5DeuYyU/koP40AdZRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVgeNR/xSl039ySGQ/RZUP9K36w/GaM/grWtoyyWUsgHqVUsP5UnqgQ+imo6yIrqcqwyD7U6vGOwKKKKACiiigAooooAKKKKACiiigAooooACMjBrnNQ8DaHe3Bu4YJNOve11p8hgkH/fPB/EGujopqTWwNXOR+zeNNE/497q01+1H/LK5At7jHoHHyn6kCpLfx7pizra6xDdaLdNwEv49iMf9mQfKR75FdVUVxbQXcDQXMMc0TcNHIoZT9QarmT3Qrdh0Usc8SyxSLJGwyrocgj2NPrk5fAdnbStPoF9eaJOTki1fdCx/wBqJsqfwxTf7R8YaJxqGmW+tWy9Z9Pby5gPUxNwT7KaOVPZhfuddRXP6X400LVJ/sy3n2a8HDWl4phlB9NrdT9M10FS01uO9wrlNO/5Kdrn/XhbfzeurrlNO/5Kdrn/AF4W383qo7P0Ezq6KKKgYUUVDd3MdnaS3MpxHGpY04xcmkt2KUlFOUtkct411TZGmmxNy+Hlx6dh/X8BXGwQS3MyxQRtJI3RVGTW/Z6HqHiK9kvrnMEMrbi7Dkj0UfTjNdrp2lWelw+XaxBSfvOeWb6mvrPr1DLKCoQ96fXtfzZ8Y8vxGbYh4ip7tPpfe3SyOZ0jwdOhEt9cNF/0yhbn8W/wrrre2htYhHCm1R75J+pPJqWivncVjq+Kleo/l0Pp8Hl+HwkbUl8+oUUUVyHaFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPi1fL0yDUB96wuY5yfRM7JP/HHY/hVir19aR3+n3NnKMx3ETRP9GBB/nWBoNzJd6DYzTf64wqsv++OG/UGuXFR0Ujak9WjRq14Ifbo91Zf8+V9NEPZWbzVH4LIoqrTvCr+V4i1226B1t7oe5ZWjP/ooVtlcrVXHuiMUrwudbRRRXvHAU9WshqWjX1gwBFzbyQnP+0pH9a8++B8WoWnhC7s7+yubYx3jPF58TJuVlXpkc8g/nXptFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVXv7YXmnXNqek0Txn8QR/WrFFAHJ+HLg3XhnSpz96S0iZs9jtGR+dadZHhweTp9xZnraXtxAB6KJWKf+OFa168eatJo61qgoooqRhRRRQAUUUUAFFFFABRRXK+JvEotA1jYvm4PEkg/5Z+w9/wCVdOFwtTE1FTprX8jmxmLpYSk6tV6fn5I6aOeGV2SOWN2Q4YKwJB96krgvDPh6S9lW/utyQKcoM4Mh/wAK72tMdhqeGq+zpz5rb6bGOXYqriqXtakOW+2u677BRRRXEd4UUUUAFFFFAFDVNF0zWoPJ1Kxguk7eagJX6HqPwrA/4RDUNJ+bw1r9zaoOlnef6RBj0GfmUfQ111ZGva9Dolsvy+deTZEFuDgue5J7KMjJ/AZJANwcm+VCdt2c/ceMdb0aVLLWdBja7mVvIlsrkNFIR1LBvmRRkZOD1HU1mxWOsT31zrAv5or24RUd4VCqAvQBSDwMnrmrmk6Tc6hevfX0hmuZcF3IwAB0VR2Udh/Mkk9Jd3FvptoYxjOOa9KnRjFarU55Tb2KfhnXrq8uZtN1LYbuJfMjlUAeamcHI7EEjPY5GO4HS15dYT6lqHiua68PvYSXNjAVmgunI8xZCDhdvII2dSMciukXxylgwi8SaVeaM5OPOdfNtyfaROPzArirUrTaibQl7up1tRzQRXCqs0auoYMFbkZHtUdnfWmoW63Flcw3ELdJIXDKfxFWKwTcXdFNKSswooopDCiiigAooooAKhubqCzgae4lWONerMa57WvFrac5hhsZvM7POpRT7gdT+lcRqGqXmqS+ZdzM+Pur0VfoKdjycXm9KjeMNZfgdkniiXV9YgsNOQxQM+XlYfMVHJwO3A//AFV1lcP4Dssy3V8w4UCJD7nk/wBPzruKDbLZ1atH2tV3cvyCiiikegFFFFABRRRQAUUUUAFctpK+Rc6tZdre/kKj2kAl/nIR+FdTXMsPJ8Y6gn8M9pBMP94GRG/QJWVdXpsum/eRoVHozeV452/8/Gmufr5ci/8Ax2pKgtTs8a6Q3963uY/z8tv/AGWssvdsRH5/kXiF+7Z21FFFfSHmhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHJwr9l8X61bdFuFgvVH+8pib/wBEg/jWnVLxAv2XxJo1+OFn82xkP+8vmIT+MbD/AIHV2vMxMbVGdNN3iFFFFYFhRRRQAUUUUAFFFcv4m8SizDWVk4NweHkH/LP2Hv8AyrowuFqYmoqdNa/kc2LxdLCUnVqvT8/JCeJvEosw1lZPm4PEkg/5Z+w9/wCVZXhvw22oOL29Ui2ByqnrIf8AD+dHhvw22oOL29Ui2zlVPWQ/4fzrvVUKoVQAAMADtXtYnFU8BTeFwr977Uv6/pep4WEwlXMqqxmMXu/Zj/X9P0BVCqFUAKBgAdqWiivnT6YKKKKACiiigAoorI17XodEtl+XzrybIgtwcFz3JPZRkZP4ckgFpOTsgbsGva9Dolsvy+deTZEFuDgue5J7KMjJ/DkkA8zpOk3OoXr319IZrmXBdyMAAdFUdlHYfzJJK6TpNzqF699fSGa5lwXcjAAHRVHZR2H8yST0l1dQaXbbExuxXp0aKprzOac+YLq6g0u22JjdiuWt7e78VX7xxu0VlG2J7gf+gL/te/b8hWbq15qGoQT3dtazz2Fq6m8khIDhM/MEz1YDn2r0XR2099HtX0oxmxaMGEx9Cv8Aj655znPNTXrcitHcdOF9Wec+MfBj+H7uPxN4Z32ptwPtEcI3FABjzAP4hj7wPUc9cmur8K+LrfxHB9jvEjh1JYw7w5ykyH/lpGT95D+Y6GupIBGDyK8u8S+GofD14l1G8lvozzeZFcwD59KnY/fX1iY/eXpXJGSqLllubNcuqOqvPAejS3DXenifSLw/8t9OkMJP1UfKfyqD/itdE/58/ENqPpbXOP8A0A/oTU3h/wATTS3g0TXVjg1ZU3RSIf3V6n/PSM/zXt/LqKhyktJajST2OYs/HmjS3C2moGfSLw/8sNRjMJP0Y/KfzrplZXUMrBlIyCDkEVBeWNpqFu1ve20NxC3WOZAyn8DXNN4GjsGMvhvVbzRnznyUbzbcn3jfj8iKXuvyDU62iuR/tnxXovGr6Imp2463WlNl8e8Tck/Q1p6T4u0PWpPJtL9Bcg4a2mBjlB9NjYP5UODWoXRt0UVna1q0Wj6e1w+GkPyxp/eb/CoFUnGnFzk7JGP4z1aCCyOnhUknmGTuGfLHr9fSuCMMqwLOUYRMxVXxwSMZH61oWNpd+ItYIZyzyNvlkP8ACPX+gFegXmg2tzpltYogWKCRGUeoB5/ME09j5mVCrmUp1lolohfDll9g0K2jIw7r5j/Vuf5YH4Vq0UUj6WlTVOCgtloUryXU0kUWVpaTR45aa6aIg/QRt/OsPVr3xNFc2ItLCy89pMeUl67q6fxFgYgABxznOfXODz3xY17VPD1vYz6Zq81tLOxT7OsaFSAMlskE55A64pPEV14v0nwdoOoW2obp0KG+DqpaRnIwOnQE4wK2pwuk9NXYcnbTyuelDOBkAHvilpFyVGeuOaWsSgooooAKKKKACuc1QeV4v05+01lOh+qvER+jNXR1z2vjbruhSesk0f5xlv8A2Spmrwfoyo7ot1VTjxdoHvJOP/ILf4Vaqqgz4u0ADtJO34eSw/qK5MF/vETWt/DZ3NFFFfTnmBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGJ4ttZLnw3dPbruubXbdwgdS8TBwv47dv4023njuraK4hbdFKgdG9QRkGt2uO8Pp9iju9Gbg6bO0MY/6Yn54vyRgv1U1yYuN0pG1J62Niqt5dzWoQw6fc3e7ORA0Y2/Xe6/pmrVcD8QvG2p+DZrM2sVlcJdbgsciOHXbjJyGwRz6CuKMXKSSNntc2Na8Q6lY2H2mHQ79HR1wjtARLk42fLIWyc8YBOexrobaV57WKWSF4HdQzROQWQnscEiuC8QeNdW8KR6Tda3p1lcwXXJ+zFleBsDON2c8E+neu+gmS4t454zlJFDqfYjIqpRajexKd2SUUVzHiXxKLJWsrJwbk8O4/5Z/wD1/wCVaYbDVMTUVOmtfyMMXi6WFpOrVen5+SE8S+JRZBrKycG5PDuP+WfsPf8AlWT4b8NtqDi9vVP2fOVU9ZD/AIfzo8N+G21BxfXwP2fOVU9ZT6/T+dd6AFUKoAAGAB2r2cTiaeApvC4V+99qX9f0vU8LCYSrmVVYvFq0Psx/V/1r6AqhVCqAABgAdqWiivnj6YKKKKACiiigAoorI17XodEtl+XzrybIgtwcFz3JPZRkZP4ckgFpOTsgbsGva9Dolsvy+deTZEFuDgue5J7KMjJ/DkkA81pOk3OoXr319IZrmXBdyMAAdFUdlHYfzJJJpWk3OoXr3185muZcF3IwAB0VR2Udh/Mkk9JdXUGl22xMbsV6dGiqa8zmnPmC6uoNLttiY3YrlreC78Vag8cbtFZRtie4H/oC/wC179vyFEEF34qv3jjdorKNsT3A/wDQF/2vft+Qru7S0gsbWO1tYlihjGFRe3+fWor1+T3Y7jp076sLS0t7G0jtbaJYoIxtVF6Af571x0yt4B1VrqIE+Gb2XM8YHFjKx++B2jY9R2P5V29RXEcFxE9rcLHJHMpVo3wQ6kcjHeuCMrPU6GiRWV0V0YMrDIIOQRTJ4IrmCSCeNZIpFKujjIYHqCK43Srl/B2qRaHeTGXRLpyumXbNnyW/54Of/QT+H07aiSswTuea32j2+kSxeHtYeQ6JPLnSNRDYksJuojL9v9k/gfbe0fX73TdRj8P+JiovG4s78DbHeD/2WT1X8u1dDqWm2mr6dPYX0KzW0y7XQ/zHoR1BrjIYU3HwT4rzcxSDOmXz8GZR0G7tKvr3H66KSktf68/8ybWZ31Fcbp+sX3hi+i0XxHMZrWVtljqrcCT0jl9H9+jfWuyrOUbFJ3CszVvDuka7Hs1PT4LnAwHZcOv0Ycj8DWnRSTa1QHGXHh/VvD1vJc6J4jkS2iG42mqAzxY9A/31HsM1ymra1c6rILq+KJ5cf3I87EwOcd62/Fuv/b7g2Vs/+jRH5mH/AC0b/AVreD9B+zRDUrlP30g/dKf4VPf6n+X1qnJvc+exNSWPr/VqT9xbv+vw8yz4NOkHSQdNvra7kcBpnicEg+hHUY966Suf1TwXoWqT/aXtPs14OVu7NjDKD67l6n65qj/Z3jDROdP1ODWrZf8AlhqC+XMB6CVeCfdhRaL2Z7tOnGlBQitEddRXJxePLO2lWDX7G80ScnAN0m6Fj/syrlT+OK6e3uYLuBZ7aaOaJuVkjYMp+hFJxa3NE0zyr4taRqNxrujamllPd6dbgLMsCFivz5OQPUd/autjln8X3tlJ9gurPRrSQXB+1x+W9xKPuAL1CqecnqQK62irVT3VG2wnG7b7hRRRWQwooooAKKKKACuf8R8aj4fP/T84/wDJeb/Cugrn/EfOpeH1/wCn52/K3mH9aUvhfo/yGt0WqgtBv8a6So6pb3Mv4Dy1/wDZxU9M0VfN8cM3/PvppB9vMkH/AMa/SubL1fER+f5GuIf7tnZUUUV9IeaFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcvraf2d4nsdRHEN8n2Gc+jjLxE/+RF+rLXUVna9pn9saJdWSv5crruhk/wCecqkMjfgwB/CpnHmi4ji7O5XrxPxoZvE/xgsNJtgjizCLtcnbkfvGzj8BXrVjqj3uhJfx2kklxtIktkKhllU7XTLEDIYEcntXmvhPw/4m0vxtqPiHVvD1xK1yJDGIbm3JVmYHnMg4xxXnUfdm2+l/vOmesLLqVtckbWviLZaL41YQxIV+yRWP+qkLHjczfNyRjp/jXsaIsaKiKFVRgAdAK81g8E6zr/j5fE2vJFZ29u6tBaJIJHO37oJHA55NdN4l8SiwVrOzYG6Iw7j/AJZ//Xrelh54mUKVLfr2Xmc2KxVPCwlWqvT8X5ITxL4lFirWdmwNyRh3H/LP/wCv/Ksnw54bbUHF9fA/Z85VW6yn1Pt/Ojw54bbUHF9fA/Z85VW6yn1Pt/Ou8ACqFUAADAA7V6eJxNPAU3hcK/e+1L/L+tPU8XC4SrmVVYvFq0F8Mf1f9a+gABVCqAABgAdqWiivnj6UKKKKACiiigAoorI17XodEtl+XzrybIgtwcFz3JPZRkZP4ckgFpOTsgbsGva9Dolsvy+deTZEFuDgue5J7KMjJ/DkkA81pWlXOoXr3185muZcF3IwAB0VR2Udh/MkkmlaVc6hevfXzma5lwXcjAAHRVHZR2H8yST0l1dQaXbbExuxXp0aKprzOac+YLq6g0u22JjdiuWt7e78VX7xxu0VlG2J7gf+gL/te/b8hRBBd+KtQeON2iso2xPcD/0Bf9r37fkK7u0tILG1jtbWJYoYxhUXt/n1qK9fk92O46dO+rC0tILG1jtbWJYoYxhUXt/n1qaiivOOgK82jsotb+LGqrBGIre0tEguZIhtLljuYZHOT0J64Br0msPw54dGgnUZXuvtVzf3TXMsvl7OvRcZPAq4NRu/IUtVYbF4O0WHw5NoCWx+wSlmKM5Yhic5BPQg4x9Ko+HdVvNN1H/hF9dlL3kalrK7bgXkQ/8AZ17j8feulvLn7HZTXPkzT+UhfyoF3O+Oyjua43Uta8MeL7UafJqLabqkTiS2N0hgmt5R90jdjPuAeaqLct9UJ2Wxt3OrXVv44sdLYp9jurKWRRt+bzUZe/ptPSrevaHaeINLeyuty8h4pUOHhkH3XU9iK4ObX521/wAPPqyLBrGl3ps7uMfdkjnXasyeqEhfoTXpN3d29haS3V3MkNvEu55HOAooknG1hp3ucrpV5/asd14S8VwRSahHHzuGEvIu0qeh9ccg/pnWfiIeDNXGhapf/a9JJC218xy9t6RzHuPRu3f2W5tdQ+IH+nW8f9l2VspbTLx1K3Ekh/jH92MjjB6g59McSplaW507U7cRXsB2XEDcg/7Q9VPUGqt/wUdWEoQrtxcrPp5nuqsGUMpBUjII71y3i/X/ALHCdPtn/wBIkH7xh/Ap7fU/yrhNF8W3/g62e0lVrvScYgZjlrRuwPqn8qt6ZaXHiLUwFk3mU+ZJN1AXuazlG2vQ8TOalehbDRi+aX9aGn4U0H+07r7VcJ/okJ6H+NvT6etej1DaWsNlax20C7Y4xgCpqk2wODjhaXKt3uFFFFI7BksUc8TRSxrJGwwyOMgj3FcxceAtMWdrrR5rrRbpuS9hJsRj/tRn5SPbArqqKpSa2Bq5yP2jxpon/Hxa2mv2o/5aWxFvcY9Sh+U/QEVb0/xzod7cC1mnk06972uoIYJB/wB9cH8Ca6OqmoaXYarbmDULOC6i/uzIGA+melPmi90Kz6FsHIyKK5E+CptMO/wzrd5pgHS1lP2i3+mxuV+oNH/CQ+I9G413QDdQjreaSxkH1MTfMP1o5L/Cwv3OuorI0jxRouu/Lp2owyyj70JO2Rfqhwf0rXqWmtGMKKKKQBXPa8d2vaHH6NPL+Sbf/Z66Guc1I+b4xsl7W9jMx+rvGB/6A1TN2g/QqO6LtP8ACaebrevXXUK8FqD/ALiGT/2tTKueB48+HPthHzXtzNc59VZyE/8AHAlTlcL1XLsh4p2ikdHRRRXvHAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHJzR/2P4rli6WmrAzRei3CjDr/wACUBh7q5q+k8ck0kSOC8eN4HbPIpPGMcDeG55ZZPKlt2Wa2kAyVmU5T8zwR3BNea2fiG9szeujAy3XLOf4TzyPzNVTyqpilKpDy+/r+Bw4vN6WDnCnPre/pbT72dT4l8SCwVrOzYG6I+Zh0jH+NZHhzw42oOL6+B+z53KrdZT6n2/nVPw/ZWN5dtcaneQoiNny5JADIffPavRIJoJ4g1vIjxjgGMgr+GK6MXUWXUvq+HT5n8Uv8v609TgwdJ5pW+tYlrlXwxv+L/rX0JAAqgAAAcADtS0UV82fUhRRRQAUUUUAFFFZGva9Dolsvy+deTZEFuDgue5J7KMjJ/DkkAtJydkDdg17XodEtl+XzrybIgtwcFz3JPZRkZP4ckgHmtK0q51C9e+vnM1zLgu5GAAOiqOyjsP5kkk0rSrnUL176+czXMuC7kYAA6Ko7KOw/mSSekurqDS7bYmN2K9OjRVNeZzTnzBdXUGl22xMbsVy0EF34qv3jjdorKNsT3A/9AX/AGvft+Qoggu/FV+8cbtFZRtie4H/AKAv+179vyFd3aWkFjax2trEsUMYwqL2/wA+tRXr8nux3HTp31YWlpBY2sdraxLFDGMKi9v8+tTUUV5x0BRRRQAUUUUAFU9Q0rT9WtzBqFlBdRH+GVA2PpnpVysbxD4ih0GGFRBLd390xS0s4R88zD+QHcnpTim3oDPOfH/gKy0vS11Gw1mW08ghbe0uHaQE5yEiPLDkZC8jPPHWuo0zRNV8UNa6n4uRY4YgrQaSv3A2P9ZL6t6L0H51f0Xw1cyaguu+I5UutWx+5iX/AFNmp/hjHr6t1/r1FayqO1t/MlR6gBgYHSuS8a+Ef7et0vrDbFrFqp8lzwJV7xt7Ht6H8a62mTTRW8LzTSJHEilndzgKB1JPas4tp3RabTujw22uBdxukkTRzRsY54JB80bDgqRWt4WutS8KNc3dtYy3WgEg3SouXt/9pO7KM5K9utXNVtB4ovJ/E+haXO0dsVVyx2DVIxndtHUFcfK3fp2r0HQdQ07VNFt7rS9v2RlwqAYKHupHYg9a1l7vodtfGQr0VGcfeXX9V6luyvbbUbOK8s50nt5V3JIhyCKnri73Sr3wjeS6t4fgafTZW33ulJ29ZIR2b1Xofyrp9K1Wy1rTor/T51mt5Bww6g9wR2I9KzlG2q2OFMu0UUVABRRRQAUUUUAFFFFAGRq/hfRNd+bUNOhllH3ZgNki/Rxg/rWR/wAI/wCJNG50PXzdQjpZ6uvmD6CVfmH6111FUptaBZHIjxrNph2eJtEvNMA63UY+0W/13ryv0Iro9P1Ow1W3E+n3kF1F/ehcMB9cdKtkZGD0rm9Q8DaHe3Bu4IJNOve11p8hgf8ATg/iDTvF+QtTpK5lT5/i3Vpu0EUFqPYgNIf0lWq/2fxpon/Hvc2mv2o/5Z3AFvcY9A4+U/UgVhaF4z0wSXT6p5um3N7dPMv2pCsbDhV2yfdOFVRnNZV4S9m+XX0Lg1zanS65cS22i3Twf8fDJ5UP/XRztT/x5hXbafZRadptrYwjEVtCkKfRQAP5VxcIj1bxJpFrE6yQRlr+RlOQVTATn/fZSP8AcNd7XVllPlpOT6mWJleVuwUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRVHV786dp0k6IZJj8sMajJdz0AH+eAaqMXJqKJnNQi5S2RwXxA1n7VfppkTfurf5pMd3P+A/ma5W2sZrp4sKUiklWETODsDt0BOOM9PqQO9dtovgSW4lN7rjks7FzAG5Ynn5iP5Cuxu9IsrzSJdLkgVbSRNmyMbdvoRjoQeQexGa9meOhhqSo0NWuvS/6nzNPKquOrPEYr3U+nW36HJ6Z4RsbLElx/pUw/vj5R+H+NdAAFAAAAHQCszR7q4/f6bqDA6jYkJK2Mech+5KPZgPwYMO1alfJYmvWrTvWldn1mGw1HDw5aMUkFFFFc50BRRRQAUUVka9r0OiWy/L515NkQW4OC57knsoyMn8OSQC0nJ2QN2DXteh0S2X5fOvJsiC3BwXPck9lGRk/hySAea0rSrnUL17+/czXMuC7kYAA6Ko7KOw/mSSTStKudQvXv79zNcy4LuRgADoqjso7D+ZJJ6S6uoNLttiY3Yr06NFU15nNOfMF1dQaXbbExuxXLQQXfiq/eON2iso2xPcD/wBAX/a/l+Qoggu/FV+8cbtFZRtie4H/AKAv+1/L8hXd2lpBY2sdraxLFDGMKi9v8+tRXr8nux3HTp31YWlpBY2sdraxLFDGMKi9v8+tTUUV5x0BRRRQAUUUUAFFFFABXOeNtau/D3h99TsltnnR1RI50LbyxAwMEY/+tT/EXiCTTrqy0rT40l1a/YrCr/djUfekbHYDt3rnPEdlc3Xi7wzokt/NdxvKb25EoUf6scEBQMAkkY+laU4Xavt/luKTsn/Xod9bGY2kJuNvnlF8zaMDdjnHtmpa4jxJrGp2vjjRtM068kInjeWW1KptOOFydu4DOSeegNWn1O68I21zJrurHVJ7qbFjawW4WVjj7iqOvPft+NHI2r9/8wvbQ6HVNVstG0+W+1C4SC3jHzM3f2A7n2FcpHp9940kW+1yN7LQUO+DTXO158ch5/Qdwn5+8JtmS6g1/wAYkSXYbNlpcRDR2o9fRn9WPA7dq6L7TY+KLR7aC6nSL/lsiLtYj+6SR0PtXRHDzUFUs+X+a2iOaeKpc7pKSc/5b6/1+hT0TxXZX2qT6coSGNW22hAwHUDGPbpkex9qp6vaXHhLVJvEWlxNJp053arZRj/yOg/vD+Idx+dSQ+DI11iQzJC2mKuIUBKyKeDnIweueprq4ohFCsW53CjGXOSfqe9Xi/q8ZJ0Nmldf117+ZlgXiXFrELVN2f8AXTt5DbS7t7+0iu7WVZreZQ8cinIYGuX1XQr7RdRl17wygMsh3Xum5wl0O7L/AHZPfv8Azqyq/gDU2njDHwveSZlQDP2CVj94f9M2PUdj+R7dHWRFdGDKwyGByCPWuT4dVszu3M7Q9dsfEGni8snJAO2SJxh4nHVXXsRWlXLa54duodQOv+HGSHVQMTwNxFeqP4X9G9G/P20vD/iK18QWrtErwXUDbLm0lGJIH9CPT0Pek46XWwJ9Ga9FFFQMKKKKACiiigAooooAKKKKAM7Xr5tN0G9u05lSIiIf3pDwg/FiB+NZlrpdtDo1vpksUc0EUKxFZFDK2BjkGn+IX+1appWmDlTIbyYf7MWNo/77ZD/wE1Fq8k5to7O0bbeX0gtoGH8Jbq//AAFQzf8AAa5695yjTjuzWFknJmZ4a8CxXCXutaJqV3ock1w6W32QgxNGny5eNuGBcOR04Ire/tPxtoPGpaTb67aL/wAvGmN5c4HqYm4Y+ymutsrODTrC3srZNkFvGsUa+igYFT19BCPLFR7Hnt3dznNJ8deH9XuPsqXv2W+Bw1neoYJgfTa2Mn6Zro6ztW0HSddg8nVdPt7tMYHmoCV+h6j8K5z/AIQrU9G+bwt4jurSMdLG+/0m3x6Dd8yD6E1QjtKK4v8A4S7XtF+XxN4am8odb7SSbiL6lPvqPqDXV6fqFrqunwX9lL5ttOu+N9pXcPoQDQBZorIvvEumabqtnpt3JNHcXknlQFoH2M2M4342/rT7DxBp2p6ndWFpK8k1sAZG8pgh5x8rkYbkdjRuBqUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFJgZBxyKWigAooooAwPEmmTyeVq+nR7tRswcRjj7REeWiPucZU9mA7E02xvYNRsobu2ffDKu5TjB+hHYjoR2NdDXI6pB/wjepvqUYxpN5Jm7UdLaU8CUeiseG9Dhu7GubEUuZcy3Nac7aM1aKKK843CiisjXteh0S2X5fOvJciC3BwXPck9lGRk/hySAWk5OyBuwa9r0OiWy/L515LkQW4OC57knsoyMn8OSQDzWlaVc6jevf37ma5lwXcjAAHRVHZRngfzJJJpWlXOo3r39+5muZcF3IwAB0VR2Udh/Mkk9JdXUGl22xMbsV6dGiqa8zmnPmC6uoNLttiY3YrloILvxVfvHG7RWUbYnuB/6Av+1/L8hRBBd+Kr9443aKyjbE9wP/AEBf9r+X5Cu7tLSCxtY7W1iWKGMYVF7f59aivX5PdjuOnTvqwtLSCxtY7W1iWKGMYVF7f59amoorzjoCiiigAooooAKKKKACiiigDhtQ0/V7L4lprsOly6jaSWX2dPKkRTC2c87iOPf3pun6Vrw+I17qt3aKY5LWOKKcuDHEuQWVR94nt0Hc8dK7uitFUa/ITje5yemaJev8QNW16/twkQiS2sSXVsp1ZsA8c+uOtXtak0nSbsaxNaxyan5Xkwsfvbck4HoOeTVzWdYg0e08yT5pW4jjB5Y/4VwltbX/AIo1Vndic8vIR8sa+g/oK9XL8D7Ze3rvlpx/H+uv4HjZnmToy+r4dc1WX4f10+9hbW1/4n1VndiSeZJCPljX0H9BXoen6fb6baLb26YUdSerH1NGn6fb6baLb26bVHUnqx9TVqssxzF4lqEFamtkaZZliwidSo+apLd/ov61MXXdIivprS9mv2tI7Nt7HIAPII68DBHX3rUtbqC9tkuLaRZIn+669DziluraK8tZbaZd0UqlWHsaxtJv9MtdSk8P2UEkRt1LfNnDHvjPPfNcq5qtG2rcfSyXXz3Ot8tGvfRKfrdvp5bG1PBFcwSQTxrJFIpV0cZDA9QRXG6fPL4H1SLRr2Rn0G6fbp905z9mc/8ALBz6f3Sfp9O2qpqWm2mr6dPYX0KzW0y7XQ/zHoR1BrnjK2j2Otot1zniDw3JeXSaxo062WuQLhJSPknX/nnKO6n16iqeg6ld6FqieGNbmaUkE6bfP/y8xj+Bj/z0X9R+vX09YPQW5heHfEsetCW1uIGstWteLqykPzIf7yn+JT2IrdrB8ReGk1gxXtpObLWLXm2vEHK/7LD+JD3BqPw/4le+uZNI1aAWWuW65kgz8sy/89Ij/Ep/Md6Gk1eIX6M6KiiioGFFFFABRRRQAUUVkeJL6Wy0ho7VsXt0wtrb2dv4v+AjLH2U0AZmnyf2jquoaseY3f7Lbf8AXKMkE/i5c+4C1p+GLb+09ZudacZt7bdaWfoTn97IPxAQf7retZUtu0NtY+H9KJjuJ1EMTDkwxKBvlP8Aujp6sVHeu9sbK306xgsrWMR28CCONR2AGK0wFLnm67+Qq8uWKgixRRRXrHIFFFFABRRUc8KXNvJBKCY5FKMASMgjB5HSgDzz4vOr6BCYI5JLnT7iO9do2wYYwduSexOePoT2rvbCS0a0hjszGIliQoiH7qEfLx24rPtPCmj2egz6LFbE2U6FJVkkZ2cEY5YnPTpzxVvR9GsdC06Ox0+IxwJ03MWY9sknk8AD8KFpdA9bMv0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUyWKOeF4pUWSN1KujDIYHggj0p9FAHGwpJ4b1CPSbh2bTpzjT7hznaf+eDH1A+6T1Ax1HOzWhqGn2uqWEtleRCSCUYZc4PqCD1BBwQRyCK4e/1268L7tL1BJLy8Kk2MoGBdJ0y5AwjLkbvXIIBJ2jir4d35oG8KmlmaOva9Dolsvy+deS5EFuDgue5J7KMjJ/DkkA81pWlXOo3r39+5muZcF3IwAB0VR2Udh/MkkppWlXOo3r3185muZcF3IwAB0VR2Udh/Mkk9LdXUGl22xMbsVvRoqmvMznPmC6uoNLttiY3YrloILvxVfvHG7RWUbYnuB/6Av8Atfy/IUQQXfim/eON2iso2xPcD/0Bf9r+X5Cu7tLSCxtY7W1iWKGMYVF7f59aivX5PdjuOnTvqwtLSCxtY7W1iWKGMYVF7f59amoorzjoCiiigAooooAKKKKACiiigAooooAKztY1iDR7TzZTukbiOMHlj/h70axrFvo9oZZTukbiOMHlj/h71wltbX/inVWd2/35CPljX0H9BXrZfl6rJ167tTX4/wBf8BHjZnmbotYfDrmqy2Xbzf8AXm9Atra/8Uaqzu3X78hHyxr6D+gr0LT9Pt9NtFt7dNqDqT1Y+posLC3020W3t02oOp7sfU+9WqjMMweJap01amtkXlmWLCp1Kj5qkt3+i/rUKKKK8w9YKyNdmvrG0NxpNlHPdSOquduTjoDx1/PiteitKc+SSk1fyIqwc4OKdn37DIWd4Y2kj8uRlBZM52nuM0+sLTobnRp7qXVdXWWO4mAhEhwR2H0J44HHFbtOrBQlo7rvrb8exNGo5x95WfZ2v+HczNe0O08QaW9ldbl5DxTIcPDIPuup7EVl+G9cuzdyeH9d2prNqu5ZAMLdxdpU9/Udj+nT1ieJPDy67aRvDMbXUrVvNs7tfvRP7+qnoR3FTFq3KzRrqjbrH8QeHbbX7aPe7297btvtbyLiSB/UHuPUd6g8M+IW1eOazv4Ra6xZEJd23oezr6o3UGt+lrFj3Ry+heIrpdQGg+IUS31dRmKVeIrxB/Gh9fVe38uorM13QbLxBYG1vEYFTvimjO2SFx0ZG7EVi6Tr17pOoxaB4mZftD8WWoAbY7weh/uye3ft2zTSlqhbbnW0UUVmMKKKKACuQuL+G51a81i4kC6fpqvbwMeQz5/euPXkBB/ut61q+ItRmt4IrCyfbqF6SkTf88kH35T/ALoPHqxUd6q+GNHi1SW1uFjxomnkCzQ8/aZV480+qqeh7tluwJapuq/Zrrv6f8EOZRXMza8K6TNBHLq2oRlNQvQP3bdbeIfcj+vOW/2iewFdHRRXrwioRUY7I5G23dhRRRVCCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKOlJuG3dkY65oAWiiigAooooAKKKKACiisTxJ4kt/D1opK+feTZFvbA4LkdST2UZGT+AySAQA8SeJLfw9aKSvn3k2Rb2wOC5HUk9lGRk/gMkgHh9N0271XUJNR1GQzXUuN7kYAA6Ko7KM8D6nkkkmm6dd6rqEmo6jIZrqXG9yMAAdFUdlGeB9Sckknorq6g0u22JjdimILq6g0u22JjdiuWggu/FOoPHG7RWUbYnuB/6Av8Atfy/IVNYafeeMNQeOOR4bCJsXFyvXP8AcT1b36D8gd6yEnhc2+jagqi1z5dlequ1JfRJOyyfo3Uc8VjXlKMPdLgk3qa9paQWNrHa2sSxQxjCovb/AD61NRRXlHUFFFFABRRRQAUUUUAFFFFABRRRQAVn6vq9vo9oZZTukbiOMHlj/h70avq9vpFoZpTuc8Rxg8sf8PeuEt7e/wDFOrM7tx/G+PljX0H+Fetl+XqsnXru1NbvueNmeZug1h8OuarLZdvN/wBeb0Et7e/8U6szu3+++PljX0H+FehWFhb6baLb26bUHU92PqfelsLC3020W3tk2ovU92PqferNRmGYPEtU6atTWyLyzLFhU6lR81SW7/Rf1qULnULmCdo49HvrlRjEsTwhT/31ID+lZM3iDUotfsbVdFvfKuQVdHaEmMD/AJaZWQ8c4Ocdsc8Hm7vx14gi+IA8K20GmTOzgefskAUFdxyN3YVetvG81p49/wCEZ1extxcyhViu7YnDAjcoKnkdT361xRpvR2vc9SUlqju6KKKxKCiiigDO1XRbHWVhF5GWELbl2nBPqPoePyqLRddt9Xe6ihhmi+zPs/eLjI/oeDx1rWrH1xdWjgi/sRIQ7TAy7gOR6/T17100pe0j7KT9LuyXf7zlrR9lL20F6pK7fb7jYopkcgbKlkMigb1U52nFPrnasdSdznPE2gXF5JDrGjusGt2YPkueFnTvE/qp7eh5q74e1+38Qad9ojRobiJjFc20n34JB1Uj+R71rVyfiHSLyw1H/hJtBj330ahby0HAvYh2/wB8dj+HtVp8y5WJ6anWVR1bSLLXNOksNQgWWCTseqnsQexHrRo+r2euaXDqFjJvglHfgqe6kdiPSr1RqmPc4yx1e+8KXsWj+Ip2nsZW2WOqv/F6RzHs3o3Q/nXZ1XvrG11Oyls72BJ7eVdrxuMgiuQgvLzwJcR2WqSyXXh12CW1+/L2hPSOX1XsG7dD7Xbn23FsdvUF7eW+n2U13dSCOCFSzsew/qfapldXQOrBlIyGByCPWuPa1uviBrCpBI8Hhqyk+a4Q4N5KOojP91em71yRyAVKdNzdkEpKKuQ6Lp934x1O6vLlXgspGEdw2efLU8WyEfiZGHclR0yPTo40hiSKJFSNFCqqjAUDoAPSo7S0t7G0itbWFIYIlCRxoMBQOwqavSp01TVkc0pOTCiiitCQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDzy+vZPFXxObw2zsNI0qAXF3EDgXEhxtVvVRkHHQ4OateHvEd34kvvFVlqFjbR6Lp8jWsZCnLgbgwbJweADwBjNXLrwdcxeLrjxFo2qpY3F3CIbqOW285XAxhl+ZcNwPUVWfwHdpZXml2uvyQaZfOZbpfs4ad2YDzMSZwA2OflOMnHFTa8beT++/+RV9b+n3f8OQ/CC/u9Q8BxNdSPIsU8kUDuckxg8c98cj8K7yqel6ZaaNplvp1hCIraBAiIPT1Pqe9XKuTuyEFFFFIYUUVieJPElv4etFJXzrybIt7YHBcjqSeyjIyfwGSQCAHiTxJb+HrRSV8+8myLe2BwXI6knsoyMn8BkkA8PpunXeq6hJqOoyGa6lxvcjAAHRVHZRngfUnJJJNO0671XUJNQ1GQzXUuN7kYAA6Ko7KM8D6nkkk9FdXUGl22xMbsUxBdXUGl22xMbsVzthYXni/UXRHeLT4mxcXA65/uJ6t79vyBLCwvPF+ovGjvFp8TYuLgdf9xPVvft+QPpllZW2nWcVpaQrDBEu1EXoB/U+/egYWVlbadZxWlpCsMES7URegH9T796W7tLe/tJbW7hSa3lXa8bjIYe9TUUgOOnjvPC3+vaW90UdLg5ea0HpJ3dB/f6j+LP3q1o5Y5oklidXjcBldTkMD0INbdcvd+HrnS5Xu/DwTy2JabTHbbE57mM/8s29vunuAea5K2GvrA1hUtoy/RVHTtVttSEixb47iI4mtpl2SxH0Zf5HoexNXq4WmnZm4UUUUgCiiigAooqpqV/HplhLdS9EHyr/ePYVUISnJRirtkznGnFzk7JFus/V9Xt9ItDNMcueI4weWP+HvTdR1q207Tku5DuMigxxg8uSM/l71w9vb3/irVmd24/jfHyxr6D/CvUwGXe1vWr+7Tjv5+R5GZZn7G1DDrmqy2Xbzf9eb0Et7e/8AFWrM7tx/G+PljX0H+FehWFhb6baLbWybUXqe7H1PvRYWFvptotvbptRep7sfU+9WajMMweJap01amtkaZZliwqdSo+apLd/ov61Cmu6xxs7nCqCST2Ap1YPjD+1JPDd3a6PYyXV3cxtEu2REEeRgklmHbPTNeZvsest9TynwKNW17xtrniPTY7WSdC5j+1swXLk4Hyj+6MVr/D/7D4g8b6hqWsPM/iS2ZiYSAIYwPk+TBJOOnP61f8CaV4i8I+G7u1PhuaTUppS6ubmARdAFyQ+eOe3er3w+8B3nh6+vNZ1eeOTUbsEFIjkICdxye5JxXZKUU3Z6JWRjZtX6tnoFFFFcZqFFFFABRRRQBzctrZeFG1DWWe5l+0MP3eSQCe359z06fXetLqO9s4rqHd5cqhl3DBwakkijmjaOVFdGGGVhkEfSsl01keI0ZHhGkiL5hjnP885/DFdTkq695+8ure6S0S8zkUXh5WgvdfRLZt6tu+xsUVFb3MF3CJbeVJYySAyHIyKlrmaadmdaaaujjNXtLjwjqk3iLS4mk02c7tUsox0/6boP7w/iHcfnXW2l3b39pFd2sqzQTKHjkU5DA1MQCMHkVw8iv4A1Mzxhj4XvJMyoBn7BKx+8P+mbHqOx/I38at1FsdxUc8EV1BJBPEksMilXRxkMD1BFPV1dFdGDKwyGByCPWsdDceKJnt7GV4NIRitxexnDTkdY4j6di/4LzkhU6cpuyCUklqYOg+G7q6v77RbPUZW8JROA4Od4bnfbxyZz5fTceo+6DnJHpkEEVtBHBBEkUMahEjRQFVRwAAOgptpaW9jaRWtrCkMEShUjQYCgdhU1erCCirHK3cKKKKoQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFeWSeK9Z8P/Gg6TrN4ZNI1JFWzBUKkefudO+4FCe+QfSnfFzxTewLZeEtEY/2nqpCybD8yxsdoX23HPPoD60AHif4uLDqf9i+EbA6zqRJUyIC8at6ALy+O5BAHqay08L/FnxCom1LxIulI3PlRS7HX2xEMfm1d34G8D6d4M0lYIEjlv3UfarrHzO3XA9FHYfj1rqqAPHD8OfiNY/vbDx1LNIP4J7ibafwO4fpUTeNviL4Ib/iqdHXUrAHm7iAGB/voNo+jKCa9orD8TeIbXQrDbJGtzdXAKwWuf9Z6lvRBnk++OSQCAYcPxT0C/wBE+2aZIbi9b5UsG+WRW/2+uFHdhkdhk4FYmnadd6rqEmoahIZrqXG9yMAAdFUdlGeB9TySSeE1LwNqa79f0PEd7GWme3gjCKR1IjUdAOm3nI9T17Xwh45s9Z8Pb9qw6hCNtxEPX+8vsf06UwOourqDS7bYmN2K52wsLzxfqLxxu8WnxNi4uB1/3E9W9+35AlhYXni/UXjjd4tPibFxcDr/ALiere/b8gfTLKyttOs4rS0hWGCJdqIvQf4n370AFlZW2nWcVpaQrDBEu1EXoP8AE+/ep6KKQBRRRQAUUUUAZWr6BZ6uUmcvb3sQxDeQHbLH7Z6FfVTkH0rDlv77Qzs16JTbDhdSt1PlH/rovJiPvyvuOldjSEAgggEHqDWdSlGa1KjJx2MVHWRFdGDIwyrKcgj1p1U7jws1m7T+HrlbFidzWcgLW0h/3esZ90wPUGqq64LadLXWbZ9MuWO1TKcwyn/Yl6H6HDe1cFTDyhrujeNRM1qKKKwLCuA8Y6p9qvxZRtmK3+9ju/f8un5112t6kNL0uW4yPMxtjHqx6f4/hXm1nY3eqXJjt42lkJyzdh7k19FkWFim8VU0Udr/AIs+Y4ixcmo4OlrKWrt26L5kEs8s/l+bIziNQignoo7Cu+8PahE9olvYaXcJEPvSOQFJ7kt3P0FJpPg+0swsl7i5m67T9xfw7/j+VdGqhVCqAAOAB2ozXM8PWj7KlG6XXZfd1DJ8pxOHl7arKzfTRv7+nyFooor50+nCiiigAooooAKKKKACiiigAooooAKZNFHcQvDKoaORSrKe4PWn0U07aoGk1ZnNXCjwjp0UelafLdCWf5znJ5Pf37Dt/Xo0bcoyNrEAlSeRTqxTpAtNduNce7uHXyTmBcnoOgA6j0HrXS5xrL39Ja66tyfReRyqEqD9xXjoraJRXV+ZtVV1GSyi064bUWiWz2ETedjaVPBBzWLYeLk1aPytO0+4uNQJx9mBACD+879FX3PJwcA4rc0/w0zXMd/rc63t5Gd0USgi3tz/ALCnq3+23Ppt6ULCVFNxmrWNI14Tgpwd0zmvC3hS/nspLS5urqHw2JS1paSgpcPEf4HbOVjznA4Yg4OBwfQ4YYreFIYY0jijUKiIMBQOgA7ClkkSGNpJHVEUZLMcAfjUEOo2Nwu6C9t5VyFykqsMnoOD1rvjCy0RjKavqyzRRRTAKKKKACiiigAoqKO5t5pXiinjeSPG9FYErn1HapaLWEmnsFFFFAwoqrDqdhc3Bt4L23lmAyY0kBbH0q1Taa3EpJ7BRRRSGFFFFABRRUL3VvFOkMk8SyucIjOAzfQd6EribS3JqKhe6t4p0hkniWVzhEZwGb6DvU1FgugooooGFFFMkljhjMksiog6sxwB+NAD6KryX1pFardSXUKW7Y2ys4CnPTB6VY6jIp2Yk09gooqGO6t5pnhinieVBl0VwSv1HalYLpE1FFFAwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDzT41+H/AO0vCKavbqReaXIJQ6/e8skBvyO1vwNeTWnj1v8AhMbrxdeRLNfx2ax2sTfd8/Yqbj/sgb2+pA75r6dvbSG/sbizuF3Q3EbRSL6qwwR+RrwT4f8Awq1NPGxk1/T5I7CwJkRnA2XDhsIB6j+L8Md6Bnf/AAs8Pa5p9ne63r97O95qzCZrZz9z0Zh2YjjAxgAD2HodFYniTxJb+HrRSV868myLe2BwXPck9lGRk/hySAQQeJPElv4etFJXzrybIt7YHBcjqSeyjIyfwGSQDw+nadd6rqEmoahIZrqXG9yMAAdFUdlGeB9Sckkk07TrvVdQk1DUJDNdS43uRgADoqjsozwPqTkkk9FdXUGl22xMbsUxBdXUGl22xMbsV4jr0a6T4rTXoI5o9LuZxDdtCMDceXVTjG7Hzexr0ywsLzxfqLxxu8WnxNi4uB/6Anq3v2/IHX+Jnh+zf4WX9nbW6Rx2KLPAqj7hQ5J+pUtk+5oGjs9OtrSz0+CCwjRLVUHlBOmDznPfPXPfNWa5D4Xai+p/DfRppGLPHEYDn/YYoP0Arr6QBRRRQAUUUUAFFFFABRRRQAVHPBDdQPBcRRzQuMPHIoZWHoQetSUUAczJ4WmsPm0C/a1Qf8udwDLb/Redyf8AATgf3aqSa1Npvy67p8tgB1uUzNbH38wD5R/vha7GisZ0ITLjNo4W90w+JLqGY3Kf2bGMxmFwxlJ6kEcAdq2rSzt7GAQ20SxxjsO/19afdeEdLmme4tFl026c5aaxfytx9WXlGP8AvKapPYeJNP8A9W9nq0I7N/o039UY/wDfFRWVeUFTT91bLb+mZ0aNGFSVW3vS3fX09DRorHbxFb2nGq2t5pZ7tdxYjH/bVcx/+PVp291b3kQltp4p4z0eJwwP4iuCUJR3R2pp7EtFFFSAUUUUAFFFFABRRRQAUUUUAFFFVb3U7HTY/MvryC2XsZZAufpnrTtcC1RWSmrXl/xpGj3dyp6T3I+zQ/m43Ee6qasJ4c1PUOdY1QxxHra6dmJT7NKfnP8AwHZW0MPOXSxDqRRHe65Y2Vx9l3vcXpGVtLZDLKf+AjoPc4HvRFpGs6z82pTNpdmf+XW1kzO4/wBuUcL9E5/2q6DTtLsNJt/I0+0htoyckRqBuPqT1J9zzVuuunhoR1eplKo2c7qvhWKfQRpmkSjTVWQSful++R/ePUnoc5zkU+XXk0vW9O0FoLq5kmiA+0EdSO59ehJI6Vv0hVSQSASOhx0rsjU05ZK61OSVH3ueDs3bz0XQ4/x7NJappdzJC02nQ3Ia6jAyCOMZ/Wrj2ej+JYLTUdLNuZ7aZJEkQbSuCCVYdemeDWvPe2x1FdLuFUmeEuofBDgHBGPyNcR4i0ceEtRs9X0N2hM04iktQcq+ewHp7flXTRfMow2l0fR+pyYlODnVtzR05l1Vuq/O33HYal4i0/SbuC2u2lWSc4TETbfz6H8OahtfFNhcaounSRXdrcSDMQuYTGJPpn+tZ3irnxF4Yz/z9N/SjxnB597oCQj/AEr7cpQjqFHLH6cCohTg1FPrcurXqxc3G1o20tvc3LrVooJZIore4upIgDItuoOzPTOSBn2602117TrzSjqUU/8AoynDFgQVb+6R1z7VznhxYrzVtctbi6uYrxLx3KRzsm5DwDgHnp/KqniG107RbGNLEzC3TUYpL1hIxwee/Y9D+VNUIOShrfT8f60FLE1FF1Vayv8Ah/w2p1I8Q2qahBZXMFzaSXHEJnQBZD6AgnB9jirFxqsMd21lFDLdXCpveKEA7FPTcWIAz6ZzWbe6Ro8tvb3t3c3M8cTrJAzXLNlu23nkniqXhK43a74ihnOLr7XuIPUp0H4f41Ps4OLkun+f9XL9rUjNQk17z0+5v9NCLwg0T+KPEZgiMUe+PCFNu3g5GO3NdjJIkUbSSMFRQSzE4AHrXKeGyD4z8TYP/LSL+Rq941Sd/CGoCDJbYCQOu3Iz+maKy5qsV3UfyQsNLkoze9nL82TSeJLWKzF81td/YD/y9CMbMf3sZ3Y98VR8Y6qYvCdzLaeY6zxDbPHgqFJA657g1dtJra88GxyfKbd7LDegGzBFckY54vg8RPkE4ZAf7pk4q6dOPOtNpJf19xFWtPk3+KLfpZL8NTrtLt7S7FpdvpzxXFtCqRyyKAdpHbB6f41o3t7Bp9q1xcMVRSBwMkknAAHqTRYf8g62/wCuS/yFU/EFjbanpZsriZofOkURyL1WTOVP5isG1KpaW1zqinCjeO9vxt1JodTWS8+ySW1xBMYzKBIoIKggHBUkZ5HFUk8VafNcXVvBHdzT2xCtEkDbyfYHnt1OO1Z2k3+r2GuwaPraR3DyRuba9jHLAckMPwH/ANek8M/8jb4n/wCu0f8AI1r7KKTb6K+nrYw+sTbilpeVndar3W/68jRt/Fdhd2hmtYbueRSVe3jhJkQjruHQfnU0PiPTZdEbV/OKWq5DF1wysDjaR65rJ8Gf8hDxF/1/t/WsTTL6zsPCeqve2q3Ubam6JC/3WY4xn0HGap0INtJPp+JCxNRRUpNfa/8AJb6/gdomtwfbre0ngntpblS0PmhcPjkgEE4OOxxWFr0MSeOvDsiRoru0u5goBb5e/rTNbSdPEvhk3E6vIZ3+SNQqJwOnf8z+VT+If+R28Nf70v8A6DRTgoyi11UvyYq1RzpzjLo4/i4kevQxJ468OyJGiu7S7mCgFvl7+tdezBVLHOAM8DNcp4h/5Hbw1/vS/wDoNdZWVX+HD0f5s6KP8ar6r/0lHPS+M9KRbkot3KbZwkix27bh6nBxgD1OK0JNatluobSJJZ7qWLzhDGAGCep3EAfnWJ4SA/t7xMcc/bBz+dW5LuG48XyWNpDDHexWwM9265YISMKo79c5PHsauVOClypbK/4IzhWqOHNJrV2282vyNOw1e01C2mmjZoxA7JMso2mNh1BrA8T6pbX/AIUvZBZzvbtEfKuWiGzPYjncB74xWBKZl0DxiIZGkYXmGfjJXPJ446V0uqzwz/DqaWBlMTWI24+g4q/ZKElJd1+Sf6ke3lVi4PTR/g2v01IWutItvA2mHWYWltvIiO0RMw3YGORwPxIrfvdUtNNtYZpmIErLHEijLOx6KBXI69/ySi2/64wfzWtrXL62totIgktYri6uJkW2837sbcfMfpmlKmpPr8T/AEFTquEeitCLv96NKDVoLjUX06WGWC6EfmCKYL86dMggkGsDw9FHD458RRxRqiBYsKowBxSMkkfxJshLcedJ9hck7QoHJ4AHb65qTQ/+R98Rf7sP8qFFRjK3WN/xQ5Tc5RUuk7f+St/qdWSFUsSAAMkmstNet5IoZ1t7k208gjjnCjaxJwD1yAT3IrRuPLFtL5v+r2Hf9Mc1w5/tLwjDEwdNS8PO67Q3+sgBIIx6jOP/AK1Y0aanp1/r8ex0YirKlZ9Nb+Xnbt3OwutSitphAsUtxcFd/kwgFgvqckAD6motN1uz1SKdoWZGt2KzRyrtaMj1Fc7bGObx9q1pdXE8MkkcTQeXMY9yheRx16/zrSXRtKt5tTggllW6u7c/aZHlL7QeAWyeDyfyNVKnCMbPdpP+v63JjWqTleNrJtP+v60JJvFdhb2iXskV0LB22rdiPKHnHQHdj3xUt74m06w05L6Y3HkO21T9ndTn33AY/HFYNpp2oX/glNENupVsJHeBx5bR7sh8Z3Zx0GPxqfx5EIPByQgkiOWJQT3wcVoqVP2ih5236GLr1lSlU7Rvt1109P6uak3irT7a6hinW5iimO2O5kiKxMf94/zxinr4kszqUFlJDdwtcEiGWaEokhHYE8/pWT46A/szS/8Ar+i/rTvGXGo+HCOv9oL/AEpQpQly6b3/AAHUr1Yc+q92z279PwOgutSitphAsUtxcFd/kwgFgvqckAD6mqlt4k0+5srq5UzL9lJWeIxEyRkeqjP59Kw7cxzePtWtLu4nhlkjiaDy5im9QvI469f51fk03TNN/tb7KZWvJ7VnnLSF+MHBOehPP5GpdOEUk73aT/r+tzRVqk5NxtZNp/1/Wg5vGmmCwS+WG8ktT9+VICVj5x8x6D9aTxN4hfTNOtZbOJpftUiKky42qG/mSOlZFn/ySFv+vWT/ANCNRa3/AMiN4cJ/57W3/oNbKjTVS1tpWOWWJquje+rhzejO6t5jcQiQwyxE/wAEoAYfkaloorgZ6q2CiiigYUUUUAFFFFABRRRQAUUUUAFFFFABRRWJ4k8SW/h60UlfOvJsi3tgcFz3JPZRkZP4ckgEAPEniS38PWikr515NkW9sDgue5J7KMjJ/DkkA8Pp2nXeq6hJqOoyGa6lxvcjAAHRVHZRngfUnJJJNO0671XUJNR1GQzXUuN7kYAA6Ko7KM8D6k5JJPRXV1BpdtsTG7FMQXV1BpdtsTG7Fc7YWF54v1F443eLT4mxcXA/9AT1b37fkCWFheeL9ReON3i0+JsXFwP/AEBPVvft+QPpllZW2nWcVpaQrDBEu1EXoP8AE+/egYWVlbadZxWlpCsMES7UReg/xPv3rnfiRdJafDrXZJG2hrUxD6uQoH5muprxv4sa3J4k1nT/AAHoriW4lnVrsryEPZT9Blj6YHvSA6r4P272/wAMtL3qVMhlkwfQyNg/liu6qnpWnQ6RpFnptvnybWFIUJ6kKAMn34q5QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFY134T0K8lM0mmQxznrPb5hl/77Qhv1rZooA828Q/a/D1+ILDVtQ2fZ5ZwlwyTL+7UHGWXdzu/vVm/wDCZ67aiYywafdrCWBwHgLBYFmPd+zY+orS8eSR/wBt7d67hYXSkZ6EomB+NcldOpjvsMDkzY56/wCgRL/MEfWvGlJ+0a9fzO1JcqOrPjqe3Li70KYeW6oxtrhJBlk3jG7Z/DUUHxT0GYMXt9Rh2kqd8AOCOT91jWDqE0TtdhZEY/aoTgMD/wAupH86n+G/gY6jcf2xqcYNlFcPJDER/rXBwCf9kfqcDsRWlCPtdGiaj5TtU8SWrRq5sdZVWGQf7KuCMfghp3/CS2H/ADw1T/wVXX/xuuworr+qQ7sx9qzj/wDhIrZuI7HWJD6DSbkfqYwKcNYun/1Ph7WJP+2KR/8AobrXXUU1hYC9rI5MXHiCfiDw40Pve3kaD/yH5lSLpviif793pNkO4SGS4P4Esn8q6iirWHproJ1JHOL4TafnUta1K6z1jikFsn/kMBvzY1oWHh3RtLk82y0y2im7zCMGQ/Vz8x/E1p0VqoqOyJbb3CiiimIKKKKACiiigChf6NY6nNDNdwl5IQRGwcqVzjkEEEHioo9Asku47qXz7maL/VNcTNJ5f0BOAffrWpRVqpJKyZm6UG7tK5xXjOW0k1/w9BPNGFFwTIC+CoOME9x9a6az0uzgmF3GXmlK7VmllaQhfQEk4H0q6yocllX6kUoxgYxjtiqdVuCguhEaCVSU3re3ysY+p+FtI1a7F1dWpNwODJG7ISPfB5q4ukaeumHThaR/YyMGLHB/+v79au0VPtJtJX0RapU1JyUVdmLpvhTRtKuBPa2mJF+4Xdn2fQE8VLf+HNM1G9W8mhdbkDHmwytGxHoSpGa1aKftZt813cSoUlHkUVb0M2y0DS9Ou3urW0RJ36vkk+nfpWiQGBBAIPBBpaKiUnLVu5cYRgrRVjKTw7psaPEkUi27tua3ErCIn/dzjHt0qfUNIstVtRa3kTPBx+7WRkXjpwpFXqKr2kr3uT7KFmrKzIbW1is4Fgh3iNRhQ8jOQPqxJpl9YW2owCG6QvGGDgBipBHQ5BBqzRU8zve+pXLHl5baFOHS7aK5+0HzJJwhRZJZCxVT1Az0qK00LT7G6uLm3jlSa45lfz5DvPqct71o0Z5xT55dxezh2Rm2eg6fp73D2scsbXBLSkXEh3H15br71XHhPRRYz2QtG+zzNvdDM7Zb+9yTg+9bVFP2s97sn2NK1uVfd33+8w28I6K0MEbWzHyWDq/mtvz7tnOParNxoGm3V5BdzQyGeD/VMJ5F2fQBsCtOin7Wf8zD2FJK3Kvu7Gbc6Dp95fQ3s8Ur3EP+rf7RINn0AbFaJUFCvOMY6nP50tFQ5NqzZahFNtLczrHQtP025muLWKVJZm3SkzyNvPqQWIPWo73w3peoagl/cW5Nwo2l0kZdw9Dg81q0VXtJ35r6k+xp8vLyq3oZdt4d0qzu7i5gtVV5xh1ydhGMfd6fpVVPB2iJHLEttJ5Mmcxec+wZ9FzgGt6jIxnNP2tT+ZidCl/KvuMmbw1pE+nrYPaYtFOREkjoCfU4Iz+NOvvD2m6jZQ2l1C8kcJzGTKxZT7NnP61qUUvaT7sPY0/5V226djGPhbRzcW8/2UiSAEKwkbJz/eOct+NT2uhafZX8t9BFKtzL/rHM8jb/AKgtg1pUUOrN6XYKhSTuor7hskayxvG4yrgqR7Gs6PQbCOOKEJK0EJDRwvMzIpHTgnt+VadFJSa2ZcoRlujL1bw7pettG99bb5I/uyKxVh7ZFVdQs4dA8M3i6Xp4lOw5iwWL54Jbu3Fb1Gc1SqSSSb07ESowbckrSfXqedWen+Cp4o1tru78/AzHC0m/d/ugdc11MWgQX+iwWmrLPcIjEqsszBsZO3dtIyQMVtgAEkAZPWlrSeIlLZv7zGlhIQVml20Vr+urM2+0HTtShhiu4pZUhIZAbiQYI78Nyfc0Xmg6fqD273UcsjW5DRE3Eg2n14br71pUVkqk1szd0abveK18jK1Tw3pes+Ub22LyRDCSB2DgfUHJ/GpINC06206SwhtzHbyf6wLIwZ/qwOT+daNFHtJ25b6B7Gnzc3Kr+hlr4d0xdKOlrDILI/8ALL7RJj1xndnHtRN4e0yfSF0uSBmtExsQysSuOmCTkVqUUe0n3ff5h7Gna3KtrbdO3oV7OygsLcQW6lUHJLMWJPqSeSasUUVLbbuy0lFWQUUUUhhRRRQAUUUUAFFFFABRRRQAUUVieJPElv4es1JXzrybIt7YHBcjqSeyjIyfw5JAIAeJPElv4es1JXzrybIt7YHBcjqSeyjIyfw5JAPD6dp13quoSajqEhmupcb3IwAB0VR2UZ4H1JySSTTtOu9V1CTUdRkM11Lje5GAAOiqOyjPA+pOSST0VzcwaXbbExuxTEF1cwaXbbExuxXIWU//AAl3ioaLHcmNVjaa4kXqEBA2r/tHcPp19jg+J/Esk5ngtpR5qIWY56D296ufCdRF4whmkO0Tae0aZBJd9yse3oCST6j1qHUSlyopR0ue12VlbadZxWlpCsMES7UReg/xPv3rl9f+J3hXw5fz2F9fSfbYMCSCO3diMgEc429CO9dfWHd+DfDl/qkmp3mi2dzeSYLyzRh92AAMg8dAKoR5lqPxQ8ReMpJNL8DaNcoH+V72QDcgP/jqfUk+2DXYfD74dw+D4pb28mF5rVyP31wckJnkqpPJyepPJrtLe2gtIRDbQxwxL0SNAqj8BUtABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGNqXhLw/rF4bvUdHtLq4ICmSaMMcDoOa8i+LPhrRdI13wnFp2l2trHc3DrMsUYUSANEAD69T+de7V478av8AkY/Bf/XzJ/6HDQB33/CvvCH/AELmnf8AfgVSt/EF5Z/EO38JJZWUGnLYmeIxZLBQdqrjgL06YP1rsa8v1yzuL/422ttbX0tkz6OQ00IBkC7znbkEA++DQviXz/Jj6P5fmj1CivNdPu9Y8JfEm08PXmrXeqaVqsLPbveMHlidQSRu7jj9RXpVHS4utgooooAKKKKACiiigAooooAKKKKACiiigCC6vLeyiElzKsakhRnqxPQAdSfYVDbatZXdy1tFNi4UZMMiNG+PXawBxXP6jO3/AAsjSYZ/9SLZ2iB6bznJ+uBTfGUbR6r4fu7cYuheCIEdSp6j6f410RopuKf2l/n/AJHHUxMoqcktIu3rs/1G6lrFrc+MLWxuCXsY7d3eNomIaTOOVxzgfhzXQ6Pptppdj5Nl5nkOxkUOxO3PYZ6D2rDn/wCSn2v/AGD2/wDQjXWUVXaEUuq/VjoR5qk5S3T/AERx6RLD8TwqF9rWBchnLclvc10l5qtlYNtuJiGA3FURnIHqQoOB7mufb/kqKf8AYOP/AKFUXh1rnUNQ1zGoSQTresroI0b5RwvUE4wDVzhzJSfSK/Myp1OSUoxWrk//AElPyOlXVbB9PF+LyH7IRnzi4C/nVOTxVocUcUj6jEEl5U4J4zjJ44/GqVro1toei6vZwXTzl43mdHx8hZT2A4zisezhiHwikxGvzW7seOp3Hn68CkqVN3etrpfeVKvWVo2Sdm++1vPzO4muYLe2a5mmRIVG4yMeMfWqH/CRaQsvlS30dvJjcFuAYSR6jeBmue1K1urz4e6W9uQzwJBMyM2N4UdOe/Srt3bPrmu6NeQ2s8K2pZ52niKYBHCc9Tn04pKjBfE+r/D/ADG8RUaXKt0n63ev3Fi68U2sHiCDTBuKmNpJJAjEdOAMDn61k2V3aaZ461mSecx24t4yDIzNy2DgZyefSrVz/wAlOsf+vBv5mm6dGj/ErV3ZFLJbR7SRyOB0rSMYxWnWP6mM5TlLV7TSX3HRadqtjq0LTWNwsyK21sZBU+hB5FXK5Lw4AnjTxMijC74jgepBrY8R6t/YmhXN8oDSKNsYPdjwKwnTtNRj1t+KOulWvTc5/Zbv8my3c31lA3k3FxErMOUZhnHuPSua8Gta22l32rTPFbQ3l07IXYKoQEhRz+NM1ILoPgW4Nw/mX96mJHblpJXH8hn8hU2tAaD8PDaIP3nkLbqB3ZuD/M1rGCUXFfaaX9fgc8qvNNTlpypy9L7fhc6BdW09jbhb2Am5/wBSN4zJ9PWrbMqKWZgqgZJJwAKxdI8P2trY2TXNtHJdwqpEjLkoQMAA+gHH61d1p7NNGu21AkWnlES4POD6Y71hOMeblidVOc3Dmmkv66jY9c06SSFFuP8AXnbE7RsqSH0ViMH8DVLWfEkGlajY2JVjJcSAM2wkInfp1PsK5/XzJ/wjWjNFEtvaLdQeRESWkC/wkt0HHbn61o+J/wDkavDH/Xd/5CuiNGHMr9b/AII5Z4mpyStulH8XY6mKVJolljJKMMgkEfoaz5vEWj27TLJqNuDCu6TDZ2847d/brWnXH2UEUnxK1bfGjYtExkZ6gA/pWFKEZN36K501qk4KPLu3Y6L+2LD7Lb3IuVaK4/1O0EmT6KBk/lUlpqFrfGVbeXc8TbZEZSrIfdSARWRqY06DXNKgitd+oor/AGWNW2JGmOS2O34VjCe6tPEviiUOrTpYI4MakDIXjjJ6VcaUZK67X/GxlKvKEknZ6pO3pf8Apa6HRapqmnPZ3du9w3yKVdow+1Gx0Z14B9iawvDhsZfhzFFqlyIbeYSK7tJtJ+c9D61oeGhE/gKAphg9u5fvljndn8c1j6SAfhHPkA/6PN/6E1aqKjGUF0kv1MHNznCo7axk/wD0k6mLUNL0vQ7WYXBWwWNVjlYMw244JOP51Nd6xYWEMU11ceXFLjZIUbac9OcYrlNT/wCSRx/9ekP81qTxl/yIll/vQfyqVRjKdm95WKeJlCk2ktIc3/AOtub23tDGJnIaQ4RFUszeuAASaLS9t75He3k3hGKPwQVb0IPIPNYfiCx1F7+01HR5YmvrWNgbeXpIjdfp0qfw3q8OqreE2j2d7HIBdQv2bGAfyH6Vl7Nez51/w2v9anR7Z+19m9O3np37+XbU2pJY4YzJK6oi9WY4A/Gqn9taX5CT/wBoW3lO/lo/mjazegPejWL1dO0a8u2P+qiZh9ccfrWD4V8P2zeG7N9Rto5pXUSKsi52AncMfUnJ+vtRCEXBzl3HUqTVRU4btN/kdU7pGjPIyoijJZjgAVkeHYtJhgul0i58+Mzs0reZvAc4yAfyrZrjvBiobXxAjnZGb+YEjjAxRBXpyd+35hVlarBW3v8AkdENa08sgE5xI/lo/ltsZs4wGxg8+9XzwM1wcN3feF4rfTtYt1u9HEii3vYuqfNldw+uP/r13lFWmoarZ9f6/IWHrOpdS0a3X9brszNs9f0y/v3sba4L3KLuZPLYYHqSRjuKmsNVstTM4s7gSmB/LlABG1vTmud8Hj7dquu6y/Wa5MKE9lT/ACPyrR8PQo9zqmpRKFivLjMeBjcqjbu/E5NVUpwjddkvv7f12JpVqk+V6Wbf3K+v3/mbtUb7WdP02VY7y5WJ2G4AgnI/AVeqhfyaskijT7azljx8xnmZCD7AKaxgk3Z/5HRUbUbr8rlb/hKtE/6CCf8AfLf4VPZ67pmoXAgtbtZJSCdoUjj8RVbz/Ev/AD4aX/4FP/8AEVYspdZe4AvrWxjhwctDOzNn6FR/OtXCKX/BX+RjGpNtJ/8ApL/zNKkd1jQu7BVUZLE4AFLXI+IJn1LxbpegsSLQqbm4X/noBnCn24/Wopw55WNK1X2cObfZfN6I6uKaOaFZYpFeNhlXU5BHqDUa3lq9t9pW4iMH/PUONv59KwbO/wBSuPHF9ZiRV0y0gUFAo+8wBHPX1/KsfQdR+yWfivUEP+hpcO0PoW5zj6/LWnsHZvyT+/p6mP1pcyXm19yvf06HX/21pfkJP/aFt5Tv5aP5o2s3oD3q9XJ+FfD9s3huzfUbaOaV1EirIudgJ3DH1Jyfr7V1lRVjGEnGL2NMPOdSCnJWukFFFFZG4UUUUAFFFFACOwRGY9FGTXkmiCTxLdnWbpi012BIAx+4h5VB6BQcfmepNek69rth4d0qS/1GTbEvyqijLyseiKO5PpXlOlaX4n0BTd3Gl3a2U6g21rbp5zWyZO1HCjdvxjJxjjrngCA7i5uYNLttiY3Yrg77UZ9YvxbwORCLiKK4lB5QO2ML/tYz9Pyrah0PXfFUhVo7jTLQg7rm4iKv9FjbDZ9yAPr0rk/HGh6h4GuNCtbPW5Zkv5wpLW6KUMbJtPTk5cnnr3zUVedxtDcqHLf3jF1S0Y3q2trEzE2kkcaKCxJNzMAPUkkgfU17X4D8Hr4Z0tZboK+pzRqsrAcRqBwg/mT3PsBhnhvwBb6Fqjajc38mo3AXbC0sKJ5WWZiRjuS7fn9MdjUUabgve3HOV9gooorYgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvHfjV/wAjH4L/AOvmT/0OGvYHdIo2kkZURQWZmOAAOpJrwzxFqkvxR+Imk2Ph638yx0iUvJeNkKQWUs3sPkAHc0Ae61w2r6Vqlp8TbPxLBp8l7YLYG1kW3dPMRixOdrEZHI6Gu5oo63DpY5OLRbnWfGlr4iv7ZrSGwgaK0t5GUyMz/edtpIAxwBnPriusooo6WDrcKKKKACiiigAooooAKKKKACiiigAooooAz9U0a11YQtMXjmgffDPEcPG3sf6Gki0lPtkV5dzyXU8IIiMgUCPPUgADk+taNFUpyStch0oN8zWpjyeHo5NdXVzfXguUTy1AMe0L6Y2e9bFFFEpOVr9AjCMW2upj/wDCPxHXhrH227+0hPLC5TZs9Mbf65qvf+ErW61RtStry8sLpxiRrWTbv+vFdBRVKrNO6fkRLD05Jprd3+fczU0WCLS5rGKadBMD5s24NI5IwSSwPOPaqyeGbePw8dEW9vPshBXOU3bSckZ21t0UvaS7+Y/Y0+3S3yZx+vQWen6dpOhT3lxFC8oEd47hDCEGRyABnoBn69qjeyms9r2fi+5ubj/llbu6y+afTHXHv2rr7i2gu4jFcwRzRnqkihgfwNRWmm2Nhn7HZ29vnr5UYXP5VtGvaOu/y1OeWFvO62skt01b0epR1Hw/FqGpW2oi6uLW6hQpugYDcp6jkH1NJZ+HIbLWJdTjvbxp5UEbh2QqVGMD7ue3XOa2aKy9rO1rnQ6FNy5ra7/MyNP0CLT9VutRS8upJrrHmrIU2nHTooxj61Z1jSbfW9NksbrcI3wdyHBUjoRV6ik6km1K+qGqUFFxto73+e5z914UivbGOC61C8mkjdWWdiu4begAxjH4ZPGauXmg2l7HaRyvNstphOAGH7xx3fI5/StSin7Wfcn6vT1030Cquo6fBqmnzWVyCYZl2ttOCPcVaoqE2ndGrSaszmX8F282lx2U2pX8ohZTC7SDMeOmBjH51d1Lw7DqUVlvu7qO4s23xXCsC+e+cjBrZorT21S97mKw1JK1uliO3hFvAsQkkk2j78jbmPuTWXB4fit9bm1Zb67a4mUI6ts2lRjAxt9q2KKhTkr26mkqcZJJrYxtW8OQapqFtfi6ubW7twVWWBgCVPbkH3pkHhe1ttYfUUurstJGEljaTcJcd2zyfp0rcoqlVmly30IdCm5czWu5ztv4RgszNFaahfQWcpJa1SQbMnrg4yB9DUsHhW0t9Ck0iG6vFtpAVc+YCSD1AyCB+AFbtFN1qj3YlhqS2j/TMpNAtRoB0aWWae18vyx5hXcFHTBAHSs9vBltPpq2N3qN/cxIV8vfIPkA6Acfr1+ldLRSVaa1T8xvD0mkmulvl2M2TSM3UFzFe3MUsMRiB3Bg4Jz82Qc1LYabFYSXEwZpJ7lw80r4yxAwOnAAFXaKlzk1YtU4p3t/W35FHV9Kh1rT3sriSVIXILeUQCcHOOQeKuqqoioowqjAA7ClopcztboPlXNzdRrqWQqHZCf4lxkfnxWRpnhyDS47yOG7upEu2Z5BKUPzN1IworZopqTSaXUUoRk1J7ox/wDhH0ks4bG4vLi4s4ipEUm3LbegZgASOK2KKKJTctwjTjDZHPx+FIoJrgW9/dw2dy5kltUZQrE9cHG4A+xreijSGJIo0CRoAqqBgADtTqKcpyluxQpQh8KCiiioNAooooAKytS0G31G9t70TT215bghJ4CA2D1ByCCPwrVopxk4u6JnCM1yyWhiP4ZtyZDFe3sLTLtuGjkGZ+vLEg88nkY44qS58OafPoY0dFkt7MEErCQCcHPJIOcnrWvRV+1n3I9hT103/Xf7+pm6tosOrWUVq089ukTq6mBtp47fStIDAxRRUOTasy1CKfMlqFFFFIoKKKKACszXtesPDmlyahqEhWNTtRFGXlc9EUd2PpRr2vWHhzS3v7+QhAQqRoMvK56Ig7sawNB0G/1bVI/E/ieMLeKP9A0/OUsUPc+sh7nt/IATQtBv9Y1WPxP4njC3S82GnZylih7n1lPc9v5dnRXn82oXlp8ZYrKbVLg6c2lvctDLIBGjbiM4GBwB1OfrR1t/W1w6XPQK8d+OH/IV8H/9fMv/AKFFXrNnqFlqMbSWN5b3KKcFoJVcA+mQa8m+OH/IV8H/APXzL/6FFQCPYqKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAprukUbSSMqIoLMzHAAHUk0O6RRtJIyoigszMcAAdSTXinibxNqvxQ11vCnhRmTSUP+mXvIV1z1P+x6Dqx9qADxN4m1X4oa63hTwozJpKH/TL3kK656n/AGPQdWPtXqXhbwtpvhHRo9O06PAHzSysPnlfuzH+najwt4W03wjo0enadHgD5pZWHzyv3Zj/AE7Vt0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFcBq/gHw5qmqTxHT1udTunM11eSOxMKE8cZxnHCjHbJzjk6gdVc+HbC88Q22tXSyTXNrEY7dHbMcRJyXVf756Z9AK1ar2FjbaZYQWVnCsNtAgSNF6ACrFDAK8y1jTbPVfjjZ21/Alxb/wBkFjFIMqxDnG4dCPY16bXL6r4VuZ/F1t4m02/jhvYbY2zRXEJkjdCSezAg89eaPtJ/1sx9Gv63Ry0ulweFfjNo66LCttaatbSrdW0I2x5QE7go4Hb9fWs744f8hXwf/wBfMv8A6FFXo9joBXW21vUp0utR8nyIjHHsjhjzkhQSTknqSfyrzj44f8hXwf8A9fMv/oUVH2Uv63F9q57FRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAU13SKNpJGVEUFmZjgADqSaHdIo2kkZURQWZmOAAOpJrxTxN4m1X4oa63hTwozJpKH/TL3kK656n/Y9B1Y+1AB4m8Tar8UNdbwp4UZk0lD/pl7yFdc9T/seg6sfavUvC3hbTfCOjR6dp0eAPmllYfPK/dmP9O1HhbwtpvhHRo9O06PAHzSysPnlfuzH+natugAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAZKJDC4hKiTadhYZAPbNcXptt4u8OXF7HceRrdvc75YrmKMRSpKegkUnlegyCSAB2rt6KAK2ntePp1s+oRxR3jRqZkiOVV8cgH0zVmiihggooooAK8d+OH/IV8H/8AXzL/AOhRV7FXjvxw/wCQr4P/AOvmX/0KKgD2KiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACmu6RRtJIyoigszMcAAdSTWffeINH0zIvdTtYWHVGlG7/vnrXmXinVdV+JN2fDvhqV4dNDA3NwVIEi55LdwvovU4/K1Tk1ex1U8FXqQlUUfdSu29F95R8TeJtV+KGut4U8KMyaSh/wBMveQrrnqf9j0HVj7V6l4W8Lab4R0aPTtOjwB80srD55X7sx/p2rAa3tPhb4btItLsFuIGk2XEjttkkcjIYnB9Dx24rV0HxNfa7OVXRmtoUx5kks+CARkYXbk5/L3qlQm4e06HmvFUlV9jf3vRnS0UUVkdAUUUUAFFFFABRRRQAUUUUAFFFBIAyelABRQDkZFGecUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUE460AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRnnFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeO/HD/kK+D/+vmX/ANCir2KvHfjh/wAhXwf/ANfMv/oUVAHsVFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5V8VbTUra6t75L67/s2fEckSyHbG49FzjkfqDXqtc74ovfD9xpF1p2q6laxLKhGDIC6nswUc5Bwa1oycZpno5XXlQxUZqPMuqtfQwNG+GXhqW0gvGnub6OVA6lpNikEZ6Lg/rXaaZpGn6NbmDTrSO3jJyQg6n1J6mvPvhX4iH77w9PMH8stJavzhl/iUZ/76H1NenU6zmpcsma5tLFQryo15trp2a6O2xi+JtGOu6bFZdENwjO2fuqOv444/GmWfhm00nVL3VbMSSXM8ZCxyPlQeuAfQ4H0rdoqVVmo8ieh4bw9OU/aNa/1/mcxZavq+l+GrzUPEcCCa3fCpGAC68AHIJHJNXo/E+nf2FbaxdM9rbTnavmrk5yf7ufQ1s9apX+k2Gp2i2t5apLArblQ8AHkZGOnU1XPTk7yVtenb0I9nVgrQley69+7Y99SsY44JJLuCNZxmIyOF3jjpnr1H51OZY1kEbSKHPRSeT+FZeqeG9P1c2RuVkAszmEI2AOnB9fuim3vhu1vvENprMk0yz2qhURSNpAJPPGf4j3pJU2t+/wDwCnKsm/dT26/ea/mJv2b13/3c80yO6t5pXiinieRPvorglfqO1ZUfhq2j8Uy68JpftEi7THxs+6F9M9qfpnhyy0rVL3ULd5jNeMWkDsCoJbPAx6mk407b9PxBSqt6x0u+vTo/+Ac34vtYh4r0FVDKt1NtnVGKhxleuPrW5qHhzR/sTqUaBpCI0kWV8h2OF7+pFY3jWJJ/E3huKQEo85U4Yg4yvccitu48LWLSW00HnJLBOkql7iRxwQSMMSOldLlanTvJrf8AM5FC9eraKe2/p6F6fULLRrOEX95FEQoUFjyxAxwOppn/AAkGk/b1svt0X2hjhV5wT6Z6Z9s1g+PZ4brwh5sLCSM3CAMOhwxBpPHMMQ0nSUEahVvYlCgcAYPFRTpRny827bX5f5mlXETp8yha0Yp/n/kb8PiDSri/FjFexvcNnaozhseh6H8DWBqWsWtz4wtbG4Jexjt3d42iYhpM45XHOB+HNSeLwI9S8NsgClb9VGOw44pZ/wDkp9r/ANg9v/QjVU4RS5l1T/AitVqNuDto4/c2vM3NH0200ux8my8zyHYyKHYnbnsM9B7VUu10aTxLYyzXY/tKIMkMKy8nIOcqPbPWtuuS14D/AITzw2cDP77/ANBrKledR3fR/kzevalR0SsmtPmv+HNuTxBpEU00TahBvhGZAGzt5xjjv7dam07VbHVoGmsbhZkVtrEZBB9CDyK52zjRvifqDMillskKkjoeBkVTsppLPVvGkluMPGodQP721jmr9jHl03sn97S/UzWJmpK9rczj9ybv+B0Wqappz2d3bvcN8ilXaMPtRsdGdeAfYmsjwhqVtp3gezub6Yxx7n3SMCQDvPUirXhoRP4CgKYYPbuX75Y53Z/HNc5H/wAkbf6H/wBG1oqcbOn/AHkvzRlKrJyhW0+CT/8ASWd1d6xYWEMU11ceXFLjZIUbac9OcYqxc3dvZxCW4lWNSQoz1YnsB1J9hXIeMv8AkRLL/eg/lVy5ugfiJY21wcRrZM0APQyE8ke+AayVBNXXn+FjZ4qSlZ9o/wDkza/Q3bTVLK9nkggmzPEMvE6MjqPUqwBxUd5renWDOtxcbdn3yqMwT/eIBC/jRLYWMWq/2kI1GoPEYlbccso5xjpXNeFIJtY8NPnUpF82SVbiMRo3zEnOSRnoRUxpwacuit+P/DFyq1IyUNLu9vlbzWuvc65721Sz+2NcRi227vN3Dbj1zXG+Kr21utS0IwSzCU3sYZHDplc9drYyM9wKiu7aDR7zw5oqXTz2SXjFzIR98YKqcccFv1rR8agfa/D7YGRqCDNbUqcYVIta3vY5sRVnUozi1ZpK/XU62qdxqtnbTNDJKxlRd7pHG0hVfUhQcD61crnLR7aTxBqo0qIfaMoLy4lYlAwBwqrnk+vSuWEU7t9DuqTcbJdWb1tdQXlslxbyrLC4yrqcgiqTa/paMoa6Coz7FlKN5Zb0D425/GuJtLme2+Fl88LEN5zoSvZS4Bx+Zrs3sNL1Xw9BbzRo9gYkZQG2gADIOR0radGMG+ba9jnp4idVJRtzWv8AoTT65pdtcG3mv4EmVSzJvGVA5JPp+NLb6zp1zpx1CK7jNoCQZScAEfWucvIoJPiPo+EVo/sTMvGRxnBo8U+Xaax4dtxGkdk95udVUBS/GMj6nNNUYtxjrdq/5/5CliZxU5O1ou33pf5nRRazYTXSWwnKTuMpHLG0Zcf7O4DP4VNcahbW0oikdjKV3BI0Z22+uFBIHvXOfEKIf8I6lynFzBcRtCw6hiccf57UmqW+sWmqjWtJEd1L5CRXdmxwSByNvvz/APrqY0oyipXte/4efzKnXnCTha9rPTs79PkdCNVsTZJdi4UwO21GAJLNnGAOpOR0p9rqFteSSxQyEyRY8xGRlZc9MggHtXKsw8R6NaXeiuLO+trl5Ugm6eYPvqf++v17Vf8AD2tNf6lc2t/YNZavFGvmrnKugJwVPpk/r1olRtFvqunb/P5BHE3lFdH16P8Ayfkza1G/h0ywlvJ95jjXJCKST+FYX9qxa94OuZzvSX7M8pVdybTg454zWvr3/Iv6j/17Sf8AoJrF0r/kmaf9eD/yNKEY+z5ut1+pVSUvbKHTlf5r/Mi8OeIdK03wxpkV7fJHKYhkEE4yTjJA4/GtXxH/AGNc6WItWvFhtmZZFIl2lscjHrWDbQxD4SviNRutGc8dWyefrxUWvfN8KLVm5Pkwcn6iuiVOLrXV0+axyQqyjh+WSTXJf7ls/U7Wa7t7S3SSWTbG2FTgksT0AHUn2pLXULa8klihkJkix5iMjKy56ZBAPasfXdOur+x099PuUhv7ZhNAsn3XIXBB/A0zw9rTX+pXNrf2DWWrxRr5q5yroCcFT6ZP69a5/ZJwclujr9u1NReidv8AhvJ+p0TusaM7sFRRlmJwAKpw6vYzzRRJK2+YExbo2USADPykjB49KXWLWO+0i6tJZfJSaMoZP7ueB+tczYapf6bqNhpPiKzUsH2Wl9F912wVAPocH/63elTpqcW+vYdas6ckns+v9bep095qtlYNtuJiGA3FURnIHqQoOB7mpLe+tbuzF3BcRyW5BbzA3y4HX6Vy3h1rnUNQ1zGoSQTresroI0b5RwvUE4wDTp/DS2fhnV9KsL5nlm/fESkKEzzjjgA7TVOlBe63rp+JEa9SXvRjda/h/nbsbZ8SaQrIJL5IhIMo8wMaOPVWYAH8DUsut6XC0Cvf2+bggRAODvz0Ix29+lc3dQTeING0W2js54biGWKSR5Iiqxqo5IY8HPbGak8aRo174dRkUob9QVI4I44q1Rg5KPr+BDxNVQlOyskn169PkbkPiLSLi6e2jv4jKilyCSBtHUgngj6U6y13TNRuntrW7SSdBuKYIOPUZHI+lYPieKN/FvhncinMrg5HbApdZYx/EHRXQfMbaYH34PFJUoNJq+qb+6/+Q5YipGUk7aOK/wDArefS5vXmt6dYM63Fxt2ffKozBP8AeIBC/jUlxqthaWS3k95ClswyshcYYe3rXLeFIJtY8NPnUpF82SVbiMRo3zEnOSRnoRT9W0630n4e6jp1vcvcJbqRl8EqSQccfWh0YKXI3rew44ipKHtEvds3/Wv+Rut4l0ZbmK3OoRCSXGwc4JPQE4wD7Gq+s+JINK1GxsSrGS4kAZthIRO/TqfYVg+Joo4/hrZbEVdqwMMDGCcZP61d8RHPiXwqT/z2f+Qqo0Ycy9WvuVzKeJq8r2vaL+92OrilSaJZYySjDIJBH6Gse7XRpPEtjLNdj+0ogyQwrLycg5yo9s9a265LXgP+E88NnAz++/8AQaxormnbbR/kzqxMuWldq+q/NHQz6rZ20skckp3RgNJsjZ9g9WIBx+NWYZo7iFJonDxyKGVh0IPQ1yN+NW0LVL7VNPiTUdOuH3XVuD+8jYDBI/D/AD3rotFu7W90a1uLEFbZowEU9VA4x+GMUTppQUkKnWcqjhLR6/dfdPr59i/RRRWJ0hRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjvxw/5Cvg/wD6+Zf/AEKKvYq8d+OH/IV8H/8AXzL/AOhRUAexUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUABzg4615TceMfGepa/Nodhb2lpeRsylRjPHU5c4PHPA6V6tXnHxH0mewu7TxZpo23Fq6ifA6jPysfb+E+xFbULc1mj1sndJ1nTqRTcl7t9Un0v6kP/CB+K9Y51vxIyo3WONmcf8AfPyrWnYfCnw/bYNy11eN3DybF/JcH9a6vRdWg1vR7bUbc/JMmSueVbup+hyKv0SrVNthVs1xqbp83Jbokl+Rm6f4e0fSiGsdNtoHHR1jG/8A76PP61pUVn61rVloOmSX9/LsiTgAfeduyqO5NZayfdnmynOpK8m2/vDWtastB0yS/v5dkScAD7zt2VR3JpdG1e113SYNRsy3kzDIDDBBHBB+hrzTS9L1L4mayNY1gPBokDEQW4JG/noP/Zm/Ae3q8MMVvCkMMaxxRqFRFGAoHQAVrUhGC5ftFVIRguXqPooorEyCiiigAooooAwtU8Lw6tqNvez398ktu26ERGMBDnPGUOenfNSXGgTXULQy69quxhghWiUkfURg1s0Vp7Wdkuxi6FNtytq99WYl/wCGLS/0a30pri5itYAoAjKgtt6Ekqafqvh6LWLe3hub27CwOJFKFASw6E/LWxRQqs118wdCm01bdW+XYyNT8PxarLZyz3t2rWjiSPZsHzDuflpreHY31tNWOoXn2pI/LH+r27fTGytmihVZpWTG6FNu7Xb8NgrIvvD8V/q1rqT3t2k1rnyghTauevBU5rXoqYycXdFThGa5ZbGRBoEUGuTauL26a4lQRurbNpUYwMbfb1osfD0FhqV5erdXMr3n+uSXYVb04Cj1rXop+0ltfyJ9jC97db/M5238IwWZmitNQvoLOUktapINmT1wcZA+hqe18Lafa6FLo4aeS1lGG8yTJHfI7DnngVt0VTrVHuxRw9KO0f6e5zTeDLafTVsbvUb+5iQr5e+QfIB0A4/Xr9Kt6t4YstYtreOd50mt/wDVXCP+8X8T1raoo9tUve4vq1KzXLvp8jM0vRo9MLSPdXV5cMNpmuZN7Aeg9BWc/g21TUJbuyv7+xE53SxW0u1WP5cV0lFJVZptp7jeHpuKi1sY994a02+0mPTnjdI4m3xujfOrf3tx6n1zVWXwjFdi2+3anqFy1vIHjZpApBHToP16+9dFRQq01swlh6Ut4+QiKERVBJAGMk5P51hDwrbR6vc38N5eQi6O6eCKTajn8s/ka3qKmM5RvZ7lzpwnZSWxiaZ4Ys9Ns7qzEs09rcFswSsCqg9QAB+tVbHwZaWL7Fv9Qksw24WbzfuvxA6j2rpaKv21TXXcz+rUrJcuxjz+H4p9ci1Y3t2txEhRFXZtCnORgr71b1TSrTWLI2t4hZMhlZThlYdCD2NXaKnnlprsX7KGqtvuZY0USvAb67nvFt2DxpKFA3DoxwBkj3qR9Lb+0Jr2C9nhkmVVdAFZDjocEdefWtCij2kg9lDsY6eHbeFIBb3FxDJDK83mqV3O7feLZGDn0xVq10uO3vpb6SR5ruRBGZGAGFHOAB0GavUUOpJ7sFSgtkR3EEd1bS28ozHKhRh7EYNYtn4XjtNKl05dSvmgdDGuXX5EPUAbcfiRn0xW9RSjOUVZDlTjJqTWqMVPDUCeHzoovbz7KVKZym/ae2dtR3Pha3utCi0eW+vTaxgAYMYYgdATs7VvUVXtp3vfrf5kfV6drW6W+XYzZtI81bP/AE66WW0JKSjZk5GMMNuCMe1SWulx299LfSSPNdyIIzIwAwo5wAOgzV6ilzytYpUoLWxWv7NNQsZrSR3RJV2lkOGH0NVTo4mntpLu6muRatviVwo+bGAxwBk1p0UlNpWQ5U4yd2jn7/wla3WqNqVteXlhdOMSNaybd/14qt4ghsdG8NPaOZTHeSrFJcSSEsCx5d29sf0rqaZLFHNG0csayRsMFXGQfwrSNaV1zO6RlLDwtJxVm/62ONOnJbxrJB42uyP4AZll3egA/i+lbFxoR1mHTbjULm4iubbbKFh2BRJgZOCp/LNaNrpOm2MhktLC1gc/xRxKp/MCrlOdZ3vH9CKeGSTUlo+l3b8TIv8Aw/FqOoWd7Le3ay2h3RBCgGeMk5U5zii58PxXWs22qPe3az26lYwuzaAevG3vWvRUKrJbM2dCm73W9vw2ObfwbapqEt3Zahf2PnndLFbS7VY/lxV+70C1u9FOkrJNBbMMN5RG5ucnJYHknnPWtWih1pu13sJYekr2W5iX3hmDUNFh0qe9vPs8W0AqUDMF6ZO3tTtT8PRanHZb7u5juLNt0VwhUPn34x29K2aKFVmuoPD03uulvkiO3hFvAkQeSTaPvyNuY+5NZl94fiv9WtdSe9u0mtc+UEKbVz14KnNa9FTGcou6LlTjKPK1oZY0do5LpodQuY1uXLyLhCASMHbleKuWNlBp1lFaWybIYl2qM5qxRQ5tqzBU4p3S/phRRRUlhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjvxw/5Cvg//r5l/wDQoq9irx344f8AIV8H/wDXzL/6FFQB7FRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFPVdUtdG06S+vWZLePG5lQtjJwOB71w138WrEv5WmaXdXch4G8hM/QDcTXf3drDe2k1rcIHhmQo6nuCMGvM/Bkz+EfGN74YvSPKuG3W8pGNx/h5/wBofqMVvSjFxbau0exl1HDTo1Jzg5Tjra9k11210Jf7d+ImtcWGkJYRno7xhSB/20PP4CkbwB4o1of8T3xGRG3JiRmkH/fPyqK9Oope2a+FJE/2tOn/ALvTjDzSu/vdzC8L+GIPC1jJa293cTpI+8iUjCtjB2gDjPHr0rdorP1rWrLQdMkv7+XZEnAA+87dlUdyaz1m/NnnVKlSvUc5u8mGta1ZaDpkl/fy7Ik4AH3nbsqjuTXmumaXqXxM1kaxrAeDRIGIgtwSN/PQf+zN+A9jTNM1L4mayNY1gPBokDEQW4JG/noP/Zm/Ae3q8MMVvCkMMaxxRqFRFGAoHQAVu2qKsvi/I0bVFWXxfkEMMVvCkMMaxxRqFRFGAoHQAU+vK7a1XWvjbf28U1wNN022V54VncRvMfUZx/F0/wBmvVK5lqk+5zPdoKKKKACiiigAooooAK5fxVNJLdaRZ2d3NFNc3QRjDMV/djlsgGnXV3JrXidtGidlsrRBJeFTgyMfupn07n1qtaW1tc/EKZ7eNEh061CEIAFEjew744/CumlDkfM+iv8A5HFXq+0i4R6tR/zt6K5e1rWDFrunaKs32cXQLSTZwdozhVPYkjGaiu/CELalZXdjcT27xSh5nNxI7SKO3zE9ajms7TxrLI00YGn2spjjkUfvJWH3iG7L9Otb9jZ2umW6WdvlV5Kq8hZj69Tmhy9nFKOkuv8AX6AqftpS50nHo/8AL59S3UM13bW7BZ7iKJiMgO4XP51NWRq4Uzx58P8A9pfL/rMRfLz0+cg1hBJuzOqpJxjdf19xd/tPT/8An+tv+/y/40+K9tJ32Q3UMj9dqSAn9K57C/8AQkn8rf8A+Kq5pYX7YMeGvsHyn9/iHj2+U5rV04pX/Vf5mMa0m0rfg/8AI3KrXOo2VkwW6vLeAkZAllVePxNWa47xhDHqWt6HpOxS00/myHHOxe2fzqKMFOai9i8RUdKm5rf/AD0Ora7tkliie4iWSXmNC4Bf6DvWZ4pumsfDt3dpPJDJEmUZDj5jwP1NV9cs4bvXtDVUH2mKYy7h1WNRz+BO0VnePna7TS9FjJ33tyu7H90f/r/StKVNOcPMyr1pRp1G+m3q1/mNVtWtfBK6xLq9wL0Q+eVkCFDnkKRt9Md66TQ7+TVNEs72WPy5JowzKOmfb2rkvF9q+i2tldy3M1/ZJKsb2VyRsIxwRtA6Y75ruotvkpsXam0bVAxgelVWs4cyW7fy8jPDKSq8jb92K31v5/gx9cv4qmklutIs7O7mimuboIxhmK/uxy2QDTrq7k1rxO2jROy2VogkvCpwZGP3Uz6dz61WtLa2uviHM9vGiw6dahCEACiRvYd8cfhSpQ5HzPtf/IqvV9pFwj1aj/nb0VzrtyghSRk9BnrQrBhlSCPUGuKFqmqfEK9WFAkVvbLHO8Y2lixyRkdz0z6ZrqdL0q00a0+y2SFIt5fBYnk/Ws501BLXVq5tTqynJpLRNrft8i3JIkSF5HVEHVmOAKr/ANp6f/z/AFt/3+X/ABp1+AbKXNn9s4/1Hy/P7fNx+dc/hf8AoST+Vv8A/FUoQUlr+n6jq1HF6fk/0Rvf2np//P8AW3/f1f8AGrIIYAggg8giuYwv/Qkn8rf/AOKrpYv9Un7vy/lHycfL7ccUTgo7fp+gUqjk9fyf6ofRkZxnrUF5cpZWU91J9yGNnP0AzXGWWpXNt4Uu/Flwqz382TCr5KxJu2hQOw7n1pwpOav6L5sKtdU2ovzfyW7O6zzjvXMeOb+fTNC+02lzLDcmRY49hHzEnnIPsDWd4nvrtNA0PUJFEOqtPGVEeRgsPmX6HjIp3ilTrHi7RdGV2VEzcylcZGOnX6frW1GjacZS21v8jlxGJ5qc4x3srf8Ab2i+aJNcn1Tw54eg1JdUmluUKCWKcKySE9QOAR+BrrIJxJaRTuPL3orEMcbcjpXE67G2k+JdIa9mk1O2uZdixXRBMTZA3KBhT17irnjNVudT0OxihR7qW58wMVyQq+vtk5/CqdNTUV3u7/p8iY1XSc3/ACpKzfXv13OvDAsVBGR1GelLWZYaFZadey3sQka6mQLLI7k78d8etU/Euq3FqbPTbFtt9fyeWj9fLX+JvwFcyhzSUYnbKo4Qc6itb+l8yfxPeJZ+Hr6bznSSOIlPLkKsGPC9Pc1PokctroNmt3M7zeUGkeVySWPJyT9a5vxHptmJtF0WBAZbi5DyueXdF5Ysepz7+lS+M1W51LQ7GGFGuZbneCVyQq+vtk/pW8aacYwT3bfyX9M5Z1ZRnKo18KSt5t/8N9514YFioIyOoz0pazLDQrLTr2W9iEjXUyBZZHcnfjvj1rTrmkknodsHJr3lYKKKKkoKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx344f8hXwf/18y/8AoUVexV478cP+Qr4P/wCvmX/0KKgD2KiiigAooooAKKKKACiiigAooooAZJLHDGZJXVEHVmOAKwb/AMc+G9PyJdVgkYfwwZlP/juRWL8UPDzanoY1KAEz2ILMB/FH/F+XX6Zqn4F8MeFdW0GC/wDsPn3K/JOJpC21x1+Xpg8Ecd62jCHJzyZ69DB4VYVYmtKTV7NRS0fm33HXXxasjJ5Wl6VdXch4G8hM/QDcTXP6taeMPGt/a3g0L7E1v/q5MGJgMgjJc5OD0wO5r121sbSxj8u0tYLdP7sUYUfpVimqsY6wiVTzKhhpc2FopPvJt/hoitp5uzp1v9vWMXewecIzld3fFV7rXdMstUt9MubtY7y4AMURUktkkDoMdQa0a8g1rW7JPi62oXcn+iaVDtOOSzBThVHc73x+BpUqftG/Q8yEPaybt56Hp+ta1ZaDpkl/fy7Ik4AH3nbsqjuTXmumaZqXxM1kaxrAeDRIGIgtwSN/PQf+zN+A9q0CyeO9WGt+JbuLT9ChYiCCSYIJBnoucZ9279B7ei6P4o8PaheLpOk3UcjxRbljijIRVXAwDjHcdK15XRj7qvLq+xpyukvdXvd+xtwwxW8KQwxrHFGoVEUYCgdABSXE8drbS3ErbY4kLsT2AGTUlZ2uaQuu6TPp0l5dWsM6lJGtigZlPBGWVsZ9q45XtpucytfU4f4PwSXenax4knH77Vr53BP9xScfqW/KvSax/DXh2Dwvo8Wl2l1cz20WfLFxsJUEkkZVVzye+a2Kp22RKvq2FFFFIYUUUUAFFFFAHPL4eu7bXr3ULLUVhivdvnI0O5gR3U5wPxBp2keG20vUL6f7WXhuZfMEarg9MfM2eeprforV1ptW8rGCw9NPmt1vu93ucppvhzWtCklg0zVLZrGRy4juYSzJn0wRmt2z01bed7qaVri8ddrTMAMD+6o/hH+Tmr1FKdWU9x08PCnpHb1CiiiszYKKKKACsTWNDnvNTstUsbpIL21DKPMTejqeoIBBrboqoycXdEVKcakeWRn6fpz20sl1dT/aL2UBXkC7VVR0VRzgfzrLvvDd7eeI7fWRqcKNbArFC1oWUDnr84yeevFdJRVKrKL5kRKhCUeSS033ZgXPht9UvYJ9YvvtUcDb47eKLy493qRkk/nW/RRUynKSSfQuFOMG2t2c8vh67ttevdQstRWGK92+cjQ7mBHdTnA/EGnaP4cfStRvbj7WXiuJvNEarg5x/E2eeprfoq/bTatfpYzWGpp81ut93u9zK0bRv7Je+lefz5ruczO+zbjPRep6Vq0UVEpOTuzWEIwVohRRRUlBRRRQBFc28d3ay20wzHKhRh7EYrnYfCcy6R/ZE+pmTT0z5aLCFcc5G5snIB5xgdK6eirjUlFWTMp0YTd5L+mYSeHpLjUre+1W9F3JbD9xGkPlxof7xGTk9O9Vk8NahF4km1tdVtzPKnl7HsyVVeOn7wHtXTUVSrTXXy2RLw1J7rrfd7mFH4c87WItU1O8a8uIf9QgjEccfuFyefqasHRt/iZdYkn3eXB5MUOz7mTy2c8/lWrRS9rPv5DVCn263+aCsPWdCmv9TsNSs7tLe6tCwHmR71ZT1yMityiphNwd0XUpxqR5ZbHOSeGbiTXrbVG1EmRImjlPl/M2f7vPy8cd/wAzmrv9ihvEiavJOXEdv5MUJX7nPLbs8n8K1qKp1Zvr5ELD01fTd3+a/wCGM6GwvY9cuL19ReS0kjCpaleEPrn/AD1rRooqHJvc0jFRvbqFFFFIoKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx344f8AIV8H/wDXzL/6FFXsVeO/HD/kK+D/APr5l/8AQoqAPYqKKKACiiigAooooAKKKKACkJCgkkADkk0EhVJJAA5JPavF/F3i/U/H+tHwd4OJNoSReXqnCsvfntGPX+LoOOoBY8ReNb3xv4kXwl4URprPJF5eKcKwHU5/uD1/i6D39K8OeHbPw1pa2doNzH5pZWHzSN6n+g7VV8H+D9N8G6OtjYrvlbDXFww+eZvU+g9B2/M10NVzPl5ehv8AWansfYJ+7e9vPzCiiipMCO4Mq20pgVXmCExqxwC2OAT6ZrwWz+H3irXb+4muLX7KXlZpZro7QWJOSAMk9+QMe9e/UVtSrypJ8vU2pVpU0+Xqebad8H9PQK+q6jc3cgAG2PCL9Ock/pXYaR4U0PQpPN07T44ZcbfNJLPjvySTWzRSnWqT3ZMq05bsKKKKyMwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx344f8hXwf8A9fMv/oUVexV478cP+Qr4P/6+Zf8A0KKgD2KiiigAooooAKKKKACkZgqlmIAAySe1DMFUsxAUDJJ6CvFvFvi3U/iHrR8H+DiTZE4vL0HCuvfntH/6F0HHUAXxb4u1P4g60fB3g4k2ZOLy9BwrL357Rj1/i6Djr6T4Q8H6b4N0dbGxXdI2GnuGHzzN6n0HoO35mjwh4Q03wboy2Ngm6RsNPcMPnmb1PoPQdvzNdBQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjvxw/wCQr4P/AOvmX/0KKvYq8d+OH/IV8H/9fMv/AKFFQB7FRRRQAUUUUAFIzKilmICgZJJ4AoZlRSzEKoGSScACvFfFfizU/iNrZ8IeDyfsGcXl6MhXXvz2T9W6dOoAvizxZqfxE1o+D/B5P2HOLy9BIV1789k/9C6Djr6X4R8I6b4O0ZbCwTc7Yae4YfPM3qfb0Hb8zR4R8I6b4O0ZbCwTc5w087D55m9T7eg7Vv0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeO/HD/kK+D/APr5l/8AQoq9irx344f8hXwf/wBfMv8A6FFQB7FRRRQAUjMqIWZgqqMkk4AFDMqIzuwVVGSScACvFPFPirVPiTrbeEfCJI04HF5e8hXXPPPZP1b6dQBfFXivVPiPrZ8I+EGI0/OLy9GQrrnnnsn6t9OvpvhLwlpvg7RksNPTLHDTzsPnmf1P9B2o8J+E9N8H6Mmn6emWOGmnYfPM/qf6DtW9QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeO/HD/kK+D/+vmX/ANCir2KvHfjh/wAhXwf/ANfMv/oUVAHsVI7rGjO7BVUZLE4AHrSO6xozuwVFGWZjgAeprxXxR4o1T4ma43hLwkxXS1P+mXvIV1zySf7nt1Y+1AB4p8U6p8S9cbwl4RYrpgP+mXvIV1zySeye3Vj7V6f4T8J6b4P0ZNP09Mk/NNOw+eZ/U/0Hal8KeFNN8IaMmn6fHz96aZh88z/3j/Qdq3KACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8c+ObrHqXhF3YKi3EpZmOABmLk17HXl3xb8Kal4v1bw1p+npxm4aaZh8kKfuvmP9B3oAw/E/ifVPibrjeE/CbMmlKf8ATL3kK655JP8Ac9B1Y+1eo+FfCum+ENGTTtOj/wBqaZh88z/3m/oO1L4V8K6b4R0ZNO06P/almYfPM/8AeY/07Vt0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB/9k=
Figure shows a conducting disk with radius \( R \) that lies in the \( xy \)-plane and rotates with constant angular velocity about the \( z \)-axis. The disk is in a uniform, constant \( \vec{B} \) field in the \( z \)-direction. Find the induced emf between the center and the rim of the disk.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{1}{4} \omega BR^2 B: \frac{1}{2} \omega BR C: \frac{1}{2} \omega BR^2 D: \omega BR^2
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.028564453125, -0.00179290771484375, -0.00946044921875, 0.01385498046875, -0.00072479248046875, -0.017578125, -0.03564453125, -0.0177001953125, -0.046142578125, 0.0242919921875, -0.0022735595703125, 0.002410888671875, -0.0262451171875, -0.0062255859375, 0.0029754638671875, -0.01348876...
921
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
In one form of Tesla coil (a high-voltage generator popular in science museums), a long solenoid and cross-sectional area is closely wound with turns of wire. A coil with turns surrounds it at its center. Find the mutual inductance \( M \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 50μH B: 12.5μH C: 25μH D: 100μH
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0458984375, 0.01080322265625, -0.027587890625, -0.002227783203125, -0.003173828125, 0.005157470703125, -0.00726318359375, 0.007415771484375, -0.02587890625, 0.0220947265625, -0.0216064453125, 0.029296875, 0.008544921875, 0.01190185546875, -0.00634765625, -0.00848388671875, -0.01342...
922
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
Assume that \( B \) is uniform across a cross section (that is, neglect the variation of \( B \) with distance from the toroid axis). Determine the self-inductance of a toroidal solenoid with cross-sectional area \( A \) and mean radius \( r \), closely wound with \( N \) turns of wire on a nonmagnetic core.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 20μH B: 80μH C: 40μH D: 45μH
C
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.02734375, 0.002105712890625, -0.00159454345703125, -0.01165771484375, -0.01019287109375, 0.021484375, -0.01318359375, -0.0032196044921875, -0.04296875, 0.010986328125, -0.0201416015625, 0.036865234375, 0.004241943359375, -0.0177001953125, 0.01611328125, 0.0023345947265625, -0.02233...
923
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
Figure is a hypothetical plot of the recessional speeds \( v \) of galaxies against their distance \( r \) from us; the best-fit straight line through the data points is shown. From this plot determine the age of the universe, assuming that Hubble's law holds and that Hubble's constant has always had the same value.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 5.3 \times 10^9 \, \text{years} B: 1.3 \times 10^{10} \, \text{years} C: 13 \times 10^9 \, \text{years} D: 2.12 \times 10^9 \, \text{years}
C
Electromagnetism
Electromagnetic Waves
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.034912109375, 0.00946044921875, -0.03369140625, -0.0201416015625, 0.00010013580322265625, 0.027099609375, -0.0185546875, 0.0015106201171875, -0.0245361328125, 0.018310546875, -0.004547119140625, 0.03173828125, -0.00091552734375, -0.006072998046875, -0.002349853515625, 0.0030059814453...
924
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
Figure gives the parameter \( eta \) versus the sine of the angle \( heta \) in a two-slit interference experiment using light of wavelength 435\,\text{nm}. The vertical axis scale is set by \( eta_s = 80.0\,\text{rad} \).Assume that none of the interference maxima are completely eliminated by a diffraction minimum. What is the greatest angle for a minimum?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 77.5^\circ B: 80.0^\circ C: 79.0^\circ D: 75.0^\circ
C
Electromagnetism
Wave Optics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0150146484375, 0.0252685546875, -0.00054931640625, -0.03125, -0.017578125, 0.0255126953125, -0.0218505859375, -0.0172119140625, -0.046875, 0.01611328125, -0.0223388671875, 0.0400390625, -0.0019073486328125, 0.0084228515625, 0.01385498046875, 0.0008697509765625, -0.03125, 0.021728...
925
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
Figure shows a 2.0-cm-diameter solenoid passing through the center of a 6.0-cm-diameter loop. The magnetic field inside the solenoid is 0.20 T. What is the magnetic flux through the loop when it is tilted at a 60\(^{\circ}\) angle?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 6.3 \times 10^{-6} \text{ Wb} \) B: \( 6.3 \times 10^{-5} \text{ Wb} \) C: \( 6.3 \times 10^{-4} \text{ Wb} \) D: \( 6.3 \times 10^{-7} \text{ Wb} \)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.000820159912109375, 0.00150299072265625, -0.0023345947265625, -0.00384521484375, -0.0244140625, 0.016357421875, -0.02783203125, -0.01171875, -0.03125, 0.0142822265625, -0.00994873046875, 0.045166015625, -0.0125732421875, 0.00653076171875, 0.0047607421875, 0.01239013671875, -0.01525...
926
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
Figure shows a 10-cm-diameter loop in magnetic fields. The loop's resistance is \( 0.20 \, \Omega \). What are the size of the induced current?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \(16 \text{ mA}\) B: \( 20 \text{ mA}\) C: \(39\text{ mA}\) D: \(15 \text{ mA}\)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.00732421875, 0.0126953125, -0.0155029296875, -0.0185546875, -0.00537109375, -0.003692626953125, -0.00396728515625, -0.01312255859375, -0.030517578125, 0.003387451171875, -0.018310546875, 0.01611328125, 0.031494140625, 0.006500244140625, -0.01220703125, 0.00408935546875, -0.01782226...
927
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
The magnetic field in figure is decreasing at the rate \( 0.10 \text{ T/s} \). What is the acceleration of a proton initially at rest at points c?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 2.9 \times 10^4 \text{ m/s}^2 \) B: \( 4.8 \times 10^4 \text{ m/s}^2 \) C: \( 9.6 \times 10^4 \text{ m/s}^2 \) D: \( 2.4 \times 10^4 \text{ m/s}^2 \)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0012969970703125, -0.006103515625, -0.01806640625, 0.012451171875, 0.0196533203125, 0.0213623046875, -0.020263671875, -0.02197265625, -0.048583984375, 0.01251220703125, -0.02880859375, 0.0228271484375, -0.0172119140625, -0.004974365234375, 0.00787353515625, 0.0005340576171875, -0.0...
928
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEiAZQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKK8+Os+KvEWp3b+GdX0COyilaJIrjMkx2nBYhegJzj2xWr4h8QX/h/T9H05Hiutc1KZbaN2XEYb+OQqMfKPT6ULVLzDrY6yiuRvtbvvDOvaRa6jdi8sNTkNuJmjVHhmxlfu4BVunTI9TRaa5feI/FGq6dp1yLOw0orFLOsau8sx5KjdkBVxzxk+1G+wHXUVzXhXxFNq0+qaXfrGupaXceTMYxhZFPKOB2yO1auu6vBoOhXuq3AJitYjIVHViOg/E4FJtJXGld2NCiuI8Frf8AinQI9e1q9ug96WeG2tp3gjgjyQANhBY8ZySag0zxHfaN8RpPCGpXL3dtcw+fYXEuPMUYJKMR97o2D1471VteV7ivpdHfUUUUgCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKRlDKVIyCMEUtQXkU09lPFbXBtp3QrHMEDeWxHDYPBx6UnsCPO/GHwy0aHS7nWdAjbSdVso2uIpbZyqsVGcEZwM+oxWff3txqnir4Z6pdDH2mFmfjA8woDXZQaD4gvNHbS9d1y3uYZAUmlt7XypZUPVSd2Fz0JC9PTrVzXPDFrq+nWdvC/2OawkSaymjXPksnTjuuOCPSmvdafmv+D/XkD1Xyf8AwDmPi0jy2nhyKIZmfWYQmOueab8KkeO68XRy585dYk356+1dKfD9zqOs2OpazcQSmw3NbwW8ZVBIRguxJJJx0Hb3pD4duLDxBeavo1zDE1+qi6t54yyM68BwQQQccH19qI6fO/6f5Dev4fr/AJnOeFUdvjB4ylQfuRHbq3pu2j/A10vjfS213whqWkxOoubmEiFS2C7L8wA/KrGgaBHokd3IZTcXt7Mbi6uCu3e57AdlA4AyaPEejXGtaasNlqL6beRyCSG7SMOYzyD8pIzkEjr3pSXuKPkCfvuRjfC6fzvh5pkTKUltg9vKhGCjKxBB9+lc/eWTav8AHWO/BCWWiWSm4mY4VXYMQpP/AALP4V1XhHwzqfhw351DXv7VN3IJSxtRCVfGCeGOcgD8qx7bwBrUesS3Nz4ueWwuLo3NxYpYqiy852lt5OOAPoMVbd5qX9XJStFr+rHf0UUVIwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACsS18WaTeeK7vw3DMx1G1iEsilflwccA9yNwyPf2ONa6uYrO0mup22wwxtI7eigZJ/IV84aJc3+ma9pXxGu2K22p6tNDMD0WNuM/rJx/0zFAH0pWfretWPh7SLjVNRlMdrAAXYDJ5IAAHckkCtCvLfi28uuah4e8GWshWTUbnzZyOSka8ZI7j7x/4BQB6VYX1vqen29/aSCS3uI1ljfGMqRkVYrzj4OajMfDl74fvDi80W7e3de4Ukkf+PBx+Ar0SWRIYnlkYLGilmY9AB1NAGMvi3SG8XN4YE5/tNYfNKbfl6Z25/vbTux6VuV80xXd/HrEXxQYuLZ9baJkxyISP5bcp9RX0qjK6K6MGVhkEdCKAKWs6vZ6DpFzql/J5drbJvcgZPoAPckgD3NGjavZ69o9tqlhJ5lrcpuQkYPXBB9wQQfcVwHxguZb+30TwnaMRPrF4ofHaNSOT7ZIP/ATSfCC5l06PXPCN25M+kXjeXn+KNieR7ZBP/AxQB6dRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXDeKviZaeGPECaKNJvr+7aETEWyg4Bzxjqema7mvMX/5OIT/ALBP+NAB/wALhb/oTtd/78//AFqP+Fwt/wBCdrv/AH5/+tXp1FAHmP8AwuFv+hO13/vz/wDWo/4XC3/Qna7/AN+f/rV6dRQB4t4s+I+peI/DV3o2meFNZhuL0CHzJITgKSNwwBzkcfjXU+JPBiH4OtoESBp7G0WWPb3lQbmx7sdw/wCBV6BQRkYNAHMfDzXP+Eh8C6Xes26YRCGb13p8pJ+uM/jXKeE/+Ko+L/iHxC3zWuloLC1PbdyCR+Tn/gdYeja2Ph1N470J22Lag3unqenz4VR7/fi/I12/wn0Q6L8P7EyKRcXubyUnqd/3f/HQtAzDl/4pT46xyfcsfEdttP8AdEw/rlR/38rc+LOtnRvAF6sZIuL4iziA6nf97/x0NVH4x6ZLN4Ug1q04vdGuUuY3A5C5AP67T/wGsTUtTi+IXxF8I2Nv81ja2y6pcqOQrEBgrfTCD/gZoA6afwSP+FPnwwsYNwlluAHe4H7z9X/Q1P8ACzXP7c+H+nSO26e1BtJfXKcDP/Adp/GuzrxrS9Xj+HXjLxrps2FtXgbU7JTwC2MhB9S23/gFAjT0f/iqvjhqmpn57PQIPssJ7CU5B/Uy/kKTXv8AilfjZo+sD5LPXYfsdwe3mDAGfx8r8jWn8HtIksPA6X9zk3eqTNdyM3UgnC/mBu/4FUnxe0Z9U8CXFzACLrTXW8iZeoC/e5/3ST+AoGdJ4p8RWvhTw9c6vdo0kcOAI0IDOxIAA/P8s1w6fFvUpY1kj8Ba46MAysqMQQehB2VjeItaX4i3fgjQYSGjvQt/fqvRQuQw/DbKPyr2gAKAAAAOABQI8y/4Wxqv/RP9d/79t/8AEUf8LY1X/on+u/8Aftv/AIivTqKAPMf+Fsar/wBE/wBd/wC/bf8AxFH/AAtjVf8Aon+u/wDftv8A4ivTqKAOa8EeMYPGujzahBaS2phnMDxSMCcgA5yPZhXS15j8Ev8AkX9b/wCwtL/6AlenUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5i/wDycQn/AGCf8a9OrzF/+TiE/wCwT/jQB6dRRRQAUUUUAFFFFAHlHxO+HN54q8V6Lf2EIaF8W984YL5aBsh+evBYcegr1WONIokjjUKiAKqjoAOgp1FAFbULKHU9NurC4XdDcxNFIP8AZYYP8683+EPgLUfCcmrXesQJHdSsIIdrhsxqclhjsxx15+XpXqNFABXlfxa+H+o+LNR0e80mFHlUm2uWLAbIycq3PUDL5xzyOK9UooAhtLWKxsoLSBdsMEaxRr6KowB+Qp08EdzbywTIHilQo6noVIwRUlFAHlPws+HV94V8Q6xfanEAEzbWT7g2+MtkvgdMgL78mvVqKKACiiigAooooA8x+CX/ACL+t/8AYWl/9ASvTq8x+CX/ACL+t/8AYWl/9ASvTqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8v8U6/wCMbn4jjwz4ZvbK1C2YuCbmMEH1ydrH07V6hXmI/wCTiD/2CaAD+y/jD/0HtC/79/8A2qj+y/jD/wBB7Qv+/f8A9qr06igDzH+y/jD/ANB7Qv8Av3/9qo/sv4w/9B7Qv+/f/wBqr06igDzH+y/jD/0HtC/79/8A2qsTwzB4gt/jiieJru2utQ/s1jvthhNnYfdX37V7TXmL/wDJxCf9gn/GgD06iiigAooooAKKKiW5ga5e2WeMzooZog43KD0JHUCgCWiimySJDG0krqkajLMxwAPUmgB1FICGUMpBBGQR3paACiovtMH2r7L58f2gJ5nlbxv25xux1xnjNS0AFFNlljhieWV1jjQFmdjgKB1JPYUkUsc0SSxOskbgMrochgehB7igB9FFFABRRRQAUUUUAeA/D6y8d3Fjqr+FtT021sxqEgkS6XLGTC5I+RuMbe/auw/sv4w/9B7Qv+/f/wBqo+CX/Iv63/2Fpf8A0BK9OoA8x/sv4w/9B7Qv+/f/ANqo/sv4w/8AQe0L/v3/APaq9OooA8x/sv4w/wDQe0L/AL9//aqu/DTxHr+sX3iLTfEE8E9zpVysPmQoFBOXDdAMjKccZ5r0GvMfhj/yO/xB/wCwmP8A0OagD06iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvMR/ycQf+wTXp1eYj/k4g/wDYJoA9OooooAKKKKACvMX/AOTiE/7BP+NenV5HrGsafofx8jvNTuktbf8AssJ5kmcZOcD9KAPXKK5b/hZPg3/oYbL/AL6P+FH/AAsnwb/0MNl/30f8KAOporlv+Fk+Df8AoYbL/vo/4Uf8LJ8G/wDQw2X/AH0f8KAOoJCqWYgADJJ7V88+GvEl1/wtpPFMoK6ZrN7Np6SHuoCBAfpmL8j6V3vjn4meHl8G6nHpOsQXN9PEYIkiJJy3BPTjAJOfasnX/BbWfwKs4I0K3+momoEjhg5y0nPsGP8A3yKBnsFeafGe/uH0HT/DliN17rN2sSoDjcqkH/0Ip+tdp4W1lfEPhfTdVUjNzArOB0D9GH4MCK4S1/4qr463Fx9+y8O23lL6eccj88s//fAoEa/wj1ptW8B20E5P2rTnazlVuo2/d/8AHSB+Bru68s0D/ilfjVrGjH5LPXIvtluO3mDJIH/kX8hXW/EHXP8AhHvA2qXyttmMRhh9d7/KCPpnP4UAeOQeJbr/AIW4PGJz/Y8upHTfNz8uzaFH4Yw/1r6JryKfwPt+AS2Hlf6bHD/aXTnzPvkfXYStd54G1z/hIvBel6kzbpXhCTH/AKaL8rfmQT+NAHN/GTUpYPCMOj2uTeavcpbRopwSMgn9dq/8Co+DepSy+E59Fu8i80e5e2kUnJCkkj9dw/4DVG7/AOKq+O1rbffsvDtt5r+nnHBH45ZP++DRD/xSnx2li+5ZeIrbeP7omH9cq3/fygZ6nRVa/v7TS7Ga+vp0gtoV3SSOcBRXMf8AC0/BP/Qfg/79v/8AE0COworj/wDhafgn/oPwf9+3/wDiaP8Ahafgn/oPwf8Aft//AImgDsKK4/8A4Wn4J/6D8H/ft/8A4mj/AIWn4J/6D8H/AH7f/wCJoAwfgl/yL+t/9haX/wBASvTq8u+B0iy+GtYkQ5R9VkZT6goleo0AFFFFABXlvwzuIU8fePoGlRZZNSyiFgGYB5c4HfGRXqVcT4i+FfhnxFdS3zwTWd/I29rm1kKsW9SDkZ/DPvQB21FeSPqHjT4YFG1SQ+IfDSsFNyAfPgX3zz+ZI6DIr07SdWstc0uDUtOnWa1nXcjj9QR2IPBFAF2iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8xH/JxB/7BNenV5iP+TiD/ANgmgD06iiigAooooAKyNV8LaDrdwtxqek2l3Mq7BJLECwXrjPpyfzrXooA5r/hXvhD/AKFzTv8AvyKP+Fe+EP8AoXNO/wC/IrpaKAOa/wCFe+EP+hc07/vyKP8AhXvhD/oXNO/78iulooA5yPwB4RjkV08O6cGU5GYAea354I7q3lt5kDxSoUdT0KkYIqSigDyL4d60PCWi+LNE1B8t4flknjDHBeM5xj6lQf8AgYrZ+DmmS2/hGbWLvm81i5e6kc9SuSB+u5v+BVxnxe8PX48cWb6ZvVfEMSWcwUcO6uvB9sCM/wDATXt2n2MOmaba2FuMQ20SxRj/AGVAA/lQM86+L9vLp0eh+LrRCZ9IvF8zH8UbEcH2yAP+Bmq3xCuYvF3ifwj4XtX821u3XULjHQw4OD/3yJPzFeh+I9Hj1/w3qGlSYxdQMik/wtj5T+BwfwryX4IaVe3WrajrWpiUvZQpp0AlXBTH3l9toVR/wI0Ae2lFZChUFSMEEcYryb4eX8fg7U/GHhq9crb6Y738OTz5OOT/AN8+WfxNetV4b8bNGvoPEOnalpiyBtUhOnzCMffbI2qf94HH/AKBHUfByymn0fU/E14v+la1ePLn/YUnH/jxf8hTvjJp8w8PWPiKzGLzRbtJ1b0UkA/+PBD+BrudD0uLRNCsdLhxstYEiyP4iByfxOT+NP1bTodX0i8024H7q6heFvYMMZoA8z+JesjxPpHhjQNMkOfEEsUzY52w8Hn8Tn/gBrt4/AnhOKJIx4c0tgqhQWtEJOPUkcmvKvg9oWoT+MLq51Xe3/CPwtYwhxwjszZAPfAL/wDfQ9q92oAwP+EH8Kf9C1pP/gHH/hR/wg/hT/oWtJ/8A4/8K36KAMD/AIQfwp/0LWk/+Acf+FH/AAg/hT/oWtJ/8A4/8K36KAKthptjpVt9m06zt7SDcW8uCMIuT1OB3q1RRQAVk6t4o0LQm26pq1nayYyI5JQHI/3ev6VyHxB17WZ9f0zwX4dn+y32ooZZ7vvDFz0PY/Kxz14GOtWNF+EPhbTE8y9tn1W8bmSe8YtuPf5en55PvQA6T4xeB45Cn9ru+O62spH/AKDWxpHj3wtrsixafrdrJK33Y3Jjc/RWAJq/F4a0GCMRxaJpyIP4VtUA/lWJrPww8Ia3Ewl0eG1kPSWzHksD64Xg/iDQB1ksUc0TxSorxupVkYZDA9QRXlvguJvBvxQ1fwhG7/2XdxC9skZs7D3A/DcP+ACq0j+LPhRIkks8uveFAdrZH761Hb6D8dv+7mn+H9Tt/Gnxrk1vTGaTT9P0xYxNtI3M3Y56H53/AO+TQB63RRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeYj/k4g/9gmvTq8xH/JxB/wCwTQB6dRRRQAUUUUAFFFFABRRRQAUUUUAFFFFACEAkEgHHI9qWiigApAAM4AGeeKWvNPHPnah8Q/DOiWV5e27Tlprz7PdSRhoV7EKQOdrc9aOqXcOjfY9LpCAcZAOORmvN7m7u9H+K+kaPot9d3FpcQs1/aTXDzrCBnDZckofx/nXpNC1VwejsFFFFACAAZwAM8n3paKKACiiigAooooAKKKKAPN/iJpGraf4g0rxxodsbu401DFdWy9ZITnp/30w74yD2rZ8P/Ezwt4ggQx6nFaXBHzW12widT6DPDfgTXX1zWt/D/wALeIJWm1DR4GnbkzRZicn1JUjJ+uaAOhjnimTfFKjr6qwIrP1HxHomkxs+oatZWwXqJJlB/AZya4iT4GeEHfKtqMY/urcDH6qav2Hwd8F2Lq7adJdMvINxOzD8QCAfyoAw9c+IN54y8/w74GsJLszqYrjUJoysMSEYJGfbPJ/AGqXgexuvhp8Qf+EYvZlntNYt1kguFXaPNUHI/wDQh/3z6167Z2Npp1sttY2sNtAv3Y4Ywij8BXnHxdH2W/8ACGqxcXFvqiop9iQSP/HRQM9PooooEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXmI/5OIP/AGCa9OrzEf8AJxB/7BNAHp1FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXktjpMHjr4heLryct5NnCNPtZFYgo+DlgR3BB/OvV5YlmheJy4VhglHKn8CCCPwrI0Pwpo3ht520m2lgM7b5QbmWQO3qQzEZ96VrvXsO9locv8IpYf8AhHLmxktoYdU0+5e2vGVAHkIJwzHqfTJ9K9CrJtPDWk2Ot3WsWts8V9dnM7pPIFkPqU3bf0rWqm77ita9gooopAFFFFABRRRQAUUUUAFFFFAHO+L/ABnpng3T0uL7fLPMStvbRcvK3t6AZGT7/hXHprHxV8RDztP0jT9DtWGUN4d0n4g5P/joqHx9LHoXxW8NeI9WiZ9FSEweZtLLDL8/zEf8CU+vynHSvUbO9tdQtUurK5iuIHGVkicMp/EUAeb/APCNfFaT55PGlgj/AN1Lddo/8himNf8AxY8N/vbyy0/xDbL9/wCy/LJj2ACnP0U16lRQBx/hP4j6L4ql+xqZLHVFyHsbkbXyOu09G/n7Cuc8fSL4g+JXhPw1ATILab7bdqvRVGCM+nCt/wB9D1rN+LF94V1GSK308Pd+LBIFtn005kRgejsvX2H3gfTmpPg6u3xF4hGumc+K1ZRN9oILeTx0/HGe2NmKBnsNFFFAgooooAKKKKACiiigAooooAKKKKACiiigAooooAK8xH/JxB/7BNenV5iP+TiD/wBgmgD06iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooArX+n2eqWUlnf20VzbSDDxyruBrz24+DllbXL3HhvXtU0Nn6pBKWUfqG/MmvSmZURndgqqMkk4AFcLrHxe8IaROYBeyX8o4K2SeYM/7xIU/gaAMseCfiJD8kPj8ug4Bkgy365/nSH4Vazqvy+IvHOp3kB+9bwgop/NiP8Ax2l/4XC8g32/g3XZYTyH8rqPwBH61c074zeFru4FtfC90uboReQ4XP1UnH44oGdF4b8EeH/Cif8AErsEScjDXEnzyt/wI9B7DArjvHUY8P8AxQ8J+I4Bs+1ymxuivG4HCgn14c/98ivTLW7t762jubSeKeCQZSSJwysPYivNvioftviXwVpMfMs2oiU/7KqUBP6n8qBHb+IrPVdQsY7TSb46fJJIPNu1UM0aDn5VPUk4H51xOsaR4l0e90iCPxtqN1NfXqQiJoI1GwZZ2yB2UH869OrkID/bPxNuZvvW+iWghX08+X5m/JAB+NC+Jf1/Xb5g9mdfXnHi/wAT28/ikaDH4vXw81tGHkk8sMZXfopJ4UAAHk/xV6PWVrHhrRdegeHU9NtrgOMF2jG8e4bqDSY0M8N6bdadpxF3rc2ryytvFzIABtxwFA4x7981qT3ENrC01xNHFEvLPIwVR9Sa4n4YW82naXq+kNM81rp2py29s7nJ2DBx+BJpvxhtYJ/hxqEssMbyQtG0TsoJQmRQSD24OKcns11t+IRV3ZnYDVtNN6tkNQtTduNywecu9hjOQuc4og1bTbq8ks7fULSW6j+/BHMrOv1UHIrzbx9pGn2Xh3wvPa2kUE/9pWymaJdrkMDuyw5Oe5zV7xRYWelfELwQ9haw2rPPNE3kxhNy7Bwcdepp2963nb+vvJvpfyv/AF9wy6udTX4x2uhLrN+umy2ZuWhDj73zcA4zjgVb+LN/qOieFRqml6lc2lwk8cWI2G1lOc5BB5rJ1u0N98ebGBbq4tidLJ8y3YK45buQai+LuivY+BmmbV9Tuh9piHl3EqsvU84Cjmp+zH1/9uL+2/T9D07S4Wg02BXuJrhygZpJmyxJFXKhs/8Ajxt/+ua/yqaqluzOPwoKKKKRQUUUUAFeYj/k4g/9gmvTq8xH/JxB/wCwTQB6dRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeW/EJ7vxL460XwLHdyWlhcwm7vHjOGkUbvl/8cPtkgnOK7rQvCuh+G7dYtK02C3IGDIFzI31Y8msLx34Ku9fuLHWdEvRY69p2fIlb7rr/AHW6+/YjkgjnjDTx/wCN9FXydf8AA1zcsn3rnT2LKR64AYfqKAPUao6pouma3bm31Owt7uLsJow2PoeoPuK8/wD+F0WY4fwxrqt6eQP8aa3xM8TaoPL0DwHqLu33JrzKRj68Af8AjwoAz9b8L6l8LzL4i8JXpOlId15pl1LlMZxlSev/AKF7npUngOSf4g+O7vxvdwiKzsU+yWNuX3FH25J/Jifq3tVmHwB4k8X3kV7491QC1jfemk2bYjH+8R/9c4P3hUWn2qeAfjEmm2arFo3iCHckI4WKVQeB+II+jj0oGesVlaJocWiJe7JnmlvLp7qWRwASzduOwAAFatFAjGm8PJN4rt9eN9eK8MBgFqsmIWznkr68/oKqweFrq11O9uofEuriC7cu1u7pIsZP9wspKj2FdHRQBV07TrXSrJLSzj8uJcnqSWJOSxJ5JJ5JNUPE3hy38VaNJpV3dXUFtIQZPs5QM2CCBllPcDpWzRQ9dwWmxzWs+DLbXdN0+xu9U1ER2MiSxtGYgzOv3S37vHHsBUmreEYNZ1bS9SuNT1BJ9NYvAIjEF3HAJYFDnOPpXQ0Udb/MPI5aXwNby+LI/Eraxqg1COPylwYdgTn5ceX05PvVjxX4RtfGFgtjf399Dahg5jtjGu5h0JLIT39a6Gii2lgvrcrWFq1lZx27XU1z5YCiSbbuIHrtUD9Ks0UUN3BKwUUUUAFFFFABXmI/5OIP/YJr06vMR/ycQf8AsE0AenUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRXHePPGsnhiO0sNMtPt2t6g2y0t+w7bmx2yenGeeeDXOxfDrxX4hX7R4r8X3kZk5aysG2xoPTsuf+An6mgD1OivMP8AhRXhgDKX2rpKOkgnTIPr9yo38D+OPDOZvC/iuS+iXn7DqPIYegJyP/QfrQB6nXl/xSx/wmHgLy/+Pj+0xtx1274s/h0q5oHxTt3vm0jxbaf2BqsY5887YZPcMen4nHoTWX4dkf4hfFCXxOqkaJoqm3siR/rpCD836lvb5KAPWKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzEf8nEH/sE16dXmI/5OIP8A2CaAPTqKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDynx7N/wjPxR8O+Lb2J30kQNZyyKpbyWO/5vyfPvtavTbDUbLVLRLqwuobm3cZWSJwwP5U68srXUbOW0vbeO4t5RteKRQysPcGvPbv4LaD9pa40m/wBT0mRu1tPlR+fP60Aek1zviHx14c8MRv8A2lqUInUf8e0R3yn22jp+OBXJH4Py3H7u+8aa7cwHrH5pGfzJH6Vu6D8LfCegOssOmi6uFORNeHzWB9QD8oPuBQBw+oabr/xluoZXsV0Tw/b5aC4uIQ08pI6joSPYEL7sQK3/AIU6ncWAv/BGpwxxaho7EoUAAliY53e/3gc9ww75r0uvLLaWPUv2hJptNIeOz04xXsifdL9ME9zyg/4CfSgD1OiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8xH/JxB/wCwTXp1eYj/AJOIP/YJoA9OooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAritc+K3hLQZ5baW/a6uomKvBaxlyGHBGeFzn3rta8q+EVlaSX3im6ktoXuU1V1SVowXUZPAPUUAMk1zx/wCPV8jRNMbw9pMnDX10SJWX/Z6Hn/ZH/AhXbeDvBum+DNKNpZAyTykNcXLj55m9T6AZOB2+uTXRUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5iP8Ak4g/9gmvTq8a8U+Irbwh8bRq+o2909q2miNfIjDEk+mSBjj1oA9lorzH/hevhf8A58tY/wDAdP8A4uj/AIXr4X/58tY/8B0/+LoA9OorzH/hevhf/ny1j/wHT/4uj/hevhf/AJ8tY/8AAdP/AIugD06ivMf+F6+F/wDny1j/AMB0/wDi6P8Ahevhf/ny1j/wHT/4ugD06ivMf+F6+F/+fLWP/AdP/i6P+F6+F/8Any1j/wAB0/8Ai6APTqK8x/4Xr4X/AOfLWP8AwHT/AOLo/wCF6+F/+fLWP/AdP/i6APTqK8x/4Xr4X/58tY/8B0/+Lo/4Xr4X/wCfLWP/AAHT/wCLoA9OorzH/hevhf8A58tY/wDAdP8A4uj/AIXr4X/58tY/8B0/+LoA9OorzH/hevhf/ny1j/wHT/4uj/hevhf/AJ8tY/8AAdP/AIugD06ivMf+F6+F/wDny1j/AMB0/wDi6P8Ahevhf/ny1j/wHT/4ugD06ivMf+F6+F/+fLWP/AdP/i6P+F6+F/8Any1j/wAB0/8Ai6APTqK8x/4Xr4X/AOfLWP8AwHT/AOLo/wCF6+F/+fLWP/AdP/i6APTqK8x/4Xr4X/58tY/8B0/+Lo/4Xr4X/wCfLWP/AAHT/wCLoA9OorzH/hevhf8A58tY/wDAdP8A4uj/AIXr4X/58tY/8B0/+LoA9OorzH/hevhf/ny1j/wHT/4uj/hevhf/AJ8tY/8AAdP/AIugD06ivMf+F6+F/wDny1j/AMB0/wDi6P8Ahevhf/ny1j/wHT/4ugD06vMfg9/rPFn/AGFn/rR/wvXwv/z5ax/4Dp/8XUfwVkN1ZeIr5YpEhudSaSPeuCQRn8+RQM9SooooEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/2Q==
What value of resistor \( R \) gives the circuit in figure a time constant of \( 25 \, \mu\text{s} \)? What value of resistor \( R \) gives the circuit in figure a time constant of \( 25 \, \mu\text{s} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 1000 \, \Omega \) B: \( 750 \, \Omega \) C: \( 500 \, \Omega \) D: \( 700 \, \Omega \)
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0478515625, 0.002685546875, 0.006561279296875, 0.00026702880859375, -0.00421142578125, 0.0054931640625, -0.0123291015625, -0.00286865234375, -0.0225830078125, 0.011474609375, -0.01092529296875, 0.0234375, 0.01434326171875, 0.021484375, -0.00909423828125, -0.004241943359375, -0.0314...
929
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
Figure shows a square bent at a \( 90^\circ \) angle. A uniform \( 0.050 \, \text{T} \) magnetic field points downward at a angle. What is the magnetic flux through the loop?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 4.2 \times 10^{-4} \ \text{Wb} \) B: \( 3.5 \times 10^{-4} \ \text{Wb} \) C: \( 3.1 \times 10^{-4} \ \text{Wb} \) D: \( 1.6 \times 10^{-4} \ \text{Wb} \)
B
Electromagnetism
Electromagnetic Induction
['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning']
[ -0.004974365234375, 0.004119873046875, 0.004180908203125, -0.0014495849609375, -0.0223388671875, 0.0185546875, -0.0091552734375, 0.0019683837890625, -0.0224609375, 0.0125732421875, -0.03173828125, 0.036865234375, -0.00396728515625, 0.016845703125, 0.0167236328125, -0.012451171875, -0...
930
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
Figure shows a loop with resistance \( 0.10 \, \Omega \) around a solenoid. The solenoid is \( 10 \, \text{cm} \) long, has \( 100 \) turns, and carries the current shown in the graph positive current is cw when seen from the left. Find the current in the loop at \( t = 2.5 \, \text{s} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 1.6 \ \mu \text{A} \) B: \( 0 \ \mu \text{A} \) C: \( 3.2 \ \mu \text{A} \) D: \( 0.8 \ \mu \text{A} \)
B
Electromagnetism
Electromagnetic Induction
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.02392578125, -0.0022125244140625, -0.025390625, -0.01397705078125, -0.017578125, 0.019775390625, -0.00225830078125, -0.01507568359375, -0.041259765625, 0.0087890625, -0.021484375, 0.026123046875, 0.008544921875, -0.0040283203125, 0.00244140625, -0.004608154296875, -0.01953125, 0....
931
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
The square loop shown in figure moves into a magnetic field at a constant speed. The loop has a resistance of \( 0.10 \, \Omega \), and it enters the field at \( t = 0 \, \text{s} \). What is the maximum current?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 13 \, \text{A} \) B: \( 11 \, \text{A} \) C: \( 10 \, \text{A} \) D: \( 9 \, \text{A} \)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0198974609375, 0.0120849609375, -0.013916015625, -0.021240234375, -0.0023651123046875, 0.0023345947265625, -0.015625, 0.01422119140625, -0.040771484375, -0.0032806396484375, -0.027587890625, 0.0137939453125, -0.0029296875, 0.004241943359375, 0.01153564453125, -0.005584716796875, -0...
932
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
Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful (and heavy!) horseshoe magnet that he bought at a surplus store. This magnet creates a field between two pole tips \( 10 \, \text{cm} \) apart. His idea is to build the hand-cranked generator shown in figure. He thinks you can make enough current to fully light a lightbulb. That's not super bright, but it should be plenty of light for routine activities in the tent. With what frequency will you have to turn the crank for the maximum current to fully light the bulb?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 4.6 \times 10^2 \, \text{Hz} \) B: \( 4.1 \times 10^2 \, \text{Hz} \) C: \( 2.4 \times 10^2 \, \text{Hz} \) D: \( 3.1 \times 10^2 \, \text{Hz} \)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0068359375, 0.009765625, 0.006256103515625, 0.00909423828125, 0.00162506103515625, 0.0198974609375, -0.016357421875, 0.00106048583984375, -0.0184326171875, -0.00121307373046875, -0.0223388671875, 0.028076171875, 0.000850677490234375, 0.0235595703125, 0.01611328125, 0.011962890625, ...
933
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
Experiments to study vision often need to track the movements of a subject's eye. One way of doing so is to have the subject sit in a magnetic field while wearing special contact lenses with a coil of very fine wire circling the edge. A current is induced in the coil each time the subject rotates his eye. Consider the experiment of figure in which a 20-turn coil of wire circles the subject's cornea while a \( 1.0 \, \text{T} \) magnetic field is directed as shown. The subject begins by looking straight ahead. What emf is induced in the coil if the subject shifts his gaze by \\( 5^\\circ \\) in \\( 0.20 \\, \\text{s} \\)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 5.0 \times 10^{-4} \, \text{V} \) B: \( 2.5 \times 10^{-4} \, \text{V} \) C: \( 1.5 \times 10^{-4} \, \text{V} \) D: \( 3.0 \times 10^{-4} \, \text{V} \)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0242919921875, 0.0034027099609375, -0.0174560546875, -0.00830078125, -0.035888671875, 0.00139617919921875, -0.010009765625, 0.0093994140625, -0.042236328125, 0.013916015625, -0.01226806640625, 0.03271484375, 0.0013885498046875, 0.00665283203125, 0.0037384033203125, -0.0118408203125, ...
934
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
The switch in figure has been in position 1 for a long time. It is changed to position 2 at \( t = 0 \, \text{s} \). What is the first time at which the current is maximum?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 0.20 \, \text{ms} \) B: \( 0.50 \, \text{ms} \) C: \( 0.40 \, \text{ms} \) D: \( 0.60 \, \text{ms} \)
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.019775390625, -0.011474609375, -0.00145721435546875, -0.0106201171875, -0.005401611328125, 0.0118408203125, -0.00531005859375, -0.008056640625, -0.01263427734375, 0.01611328125, -0.01422119140625, 0.0167236328125, -0.027587890625, 0.0164794921875, 0.01129150390625, 0.005584716796875,...
935
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
The area of the conducting loop in the field is $120 \, cm^2$. Find the induced emf and the induced current in the circuit.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.45mV B: 0.24mV C: 0.54mV D: 0.23mV
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.039306640625, -0.00457763671875, -0.037109375, -0.00555419921875, -0.0145263671875, 0.00250244140625, 0.004974365234375, -0.0064697265625, -0.03515625, 0.020751953125, -0.01336669921875, 0.021728515625, -0.007232666015625, 0.003326416015625, 0.0133056640625, -0.01068115234375, -0.0...
936
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
A 500-loop circular wire coil with radius \( 4.00 \ \mathrm{cm} \) is placed between the poles of a large electromagnet. The magnetic field is uniform; it decreases at \( 0.200 \ \mathrm{T/s} \). What are the magnitude and direction of the induced emf?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.456V B: 0.435V C: 0.544V D: 0.231V
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0205078125, -0.001373291015625, -0.0164794921875, -0.004547119140625, -0.0264892578125, -0.00141143798828125, -0.00714111328125, -0.00860595703125, -0.01953125, 0.01324462890625, -0.0228271484375, 0.022705078125, 0.009521484375, -0.00170135498046875, -0.00179290771484375, 0.009887695...
937
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
Suppose the moving rod in figure is \( 0.10 \\ \mathrm{m} \) long, the velocity \( v \) is \( 2.5 \\ \mathrm{m/s} \), the total resistance of the loop is \( 0.030 \\ \Omega \), and \( B \) is \( 0.60 \\ \mathrm{T} \). Find the force acting on the rod.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.45N B: 0.3N C: 0.5N D: 0.2N
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.040283203125, 0.00762939453125, -0.032958984375, 0.00848388671875, -0.0223388671875, 0.0021514892578125, -0.000946044921875, -0.00335693359375, -0.0361328125, -0.0000705718994140625, -0.0291748046875, 0.0286865234375, 0.005645751953125, 0.002777099609375, -0.00286865234375, -0.007141...
938
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
Suppose the long solenoid in figure has 500 turns per meter and cross-sectional area \( 4.0 \\ \mathrm{cm}^2 \). The current in its windings is increasing at \( 100 \\ \mathrm{A/s} \). Find the magnitude of the induced electric field within the loop if its radius is \( 2.0 \\ \mathrm{cm} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.2 \times 10^{-4}V/m B: 2 \times 10^{-4}V/m C: 1 \times 10^{-4}V/m D: 2.6 \times 10^{-4}V/m
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.035888671875, -0.00061798095703125, -0.0260009765625, -0.00201416015625, -0.0172119140625, 0.00872802734375, -0.006378173828125, 0.008544921875, -0.048583984375, 0.01336669921875, -0.0240478515625, 0.032958984375, -0.0018768310546875, 0.0098876953125, 0.0068359375, -0.007476806640625...
939
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
In one form of Tesla coil. Find the mutual inductance \( M \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 22\ \mu\mathrm{H} B: 25\ \mu\mathrm{H} C: 75\ \mu\mathrm{H} D: 28\ \mu\mathrm{H}
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.046630859375, 0.0322265625, -0.027099609375, -0.001922607421875, -0.007568359375, 0.00113677978515625, -0.01507568359375, 0.01275634765625, -0.0223388671875, 0.0205078125, -0.00994873046875, 0.01153564453125, 0.00885009765625, -0.00113677978515625, 0.00067138671875, -0.0079345703125,...
940
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
Determine the self-inductance of a toroidal solenoid with cross-sectional area \( A \) and mean radius \( r \), closely wound with \( N \) turns of wire on a nonmagnetic core. Assume that \( B \) is uniform across a cross section (that is, neglect the variation of \( B \) with distance from the toroid axis). Determine the self-inductance of a toroidal solenoid.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 22\ \mu\mathrm{H} B: 40\ \mu\mathrm{H} C: 75\ \mu\mathrm{H} D: 28\ \mu\mathrm{H}
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.034423828125, 0.01275634765625, -0.002685546875, -0.005859375, -0.0074462890625, 0.0076904296875, -0.0133056640625, -0.00494384765625, -0.035888671875, 0.0135498046875, -0.02392578125, 0.032958984375, 0.0084228515625, -0.0172119140625, 0.022216796875, 0.005279541015625, -0.02709960...
941
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
A sensitive electronic device of resistance \( R = 175\ \Omega \) is to be connected to a source of emf (of negligible internal resistance) by a switch. The device is designed to operate with a 36 mA current, but to avoid damage to the device, the current can rise to no more than 4.9 mA in the first 58 \( \mu\mathrm{s} \) after the switch is closed. The switch in question is \( S_1 \). What is the \( R\text{-}L \) time constant \( \tau \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 220\ \mu\mathrm{H} B: 390\ \mu\mathrm{H} C: 750\ \mu\mathrm{H} D: 280\ \mu\mathrm{H}
B
Electromagnetism
Electric Circuits
['Multi-Formula Reasoning', 'Numerical Reasoning']
[ 0.03125, 0.0118408203125, -0.0032806396484375, -0.010498046875, -0.007537841796875, 0.01019287109375, -0.025634765625, -0.0130615234375, -0.0164794921875, 0.007476806640625, -0.0252685546875, 0.0078125, 0.002960205078125, -0.01361083984375, 0.030517578125, 0.007568359375, -0.03735351...
942
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
Based on the figure. Determine the capacitive reactance of the capacitor.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 20\ \Omega\ B: 80\ \Omega\ C: 100\ \Omega\ D: 200\ \Omega\
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.0341796875, 0.0096435546875, -0.01287841796875, 0.0023651123046875, -0.0162353515625, -0.001495361328125, -0.02734375, 0.0052490234375, -0.025390625, 0.002838134765625, 0.00335693359375, 0.00775146484375, -0.01104736328125, 0.01141357421875, -0.00012969970703125, 0.005157470703125, ...
943
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
The series circuit in figure is connected to a variable-frequency ac source with an rms terminal voltage of 1.0\ \mathrm{V}. Determine the the inductive reactance \( X_L \), the capacitive reactance \( X_C \), and the impedance \( Z \)Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 200\ \Omega\ B: 2000\ \Omega\ C: 1000\ \Omega\ D: 2200\ \Omega\
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.036376953125, 0.01031494140625, 0.00732421875, -0.006011962890625, -0.0032958984375, 0.01953125, -0.00909423828125, 0.01513671875, -0.036376953125, 0.003570556640625, -0.030517578125, -0.01153564453125, 0.007293701171875, 0.0302734375, -0.002716064453125, 0.0115966796875, -0.03125,...
944
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
A radio station on the earth’s surface emits a sinusoidal wave with average total power 50\ \mathrm{kW} Assuming that the transmitter radiates equally in all directions above the ground (which is unlikely in real situations) find the electric-field and magnetic-field amplitudes \( E_\mathrm{max} \) and \( B_\mathrm{max} \) detected by a satellite 100\ \mathrm{km} from the antenna.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.2 \times 10^{-11}T B: 8.17 \times 10^{-11}T C: 1 \times 10^{-11}T D: 2.6 \times 10^{-11}T
B
Electromagnetism
Electromagnetic Waves
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.028076171875, 0.00080108642578125, -0.008544921875, -0.00738525390625, 0.01055908203125, 0.006866455078125, -0.04052734375, -0.009521484375, -0.03466796875, 0.01123046875, -0.00701904296875, 0.04736328125, -0.0189208984375, 0.0023651123046875, 0.01611328125, 0.003448486328125, -0.0...
945
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
If the sun’s radiation is perpendicular to the panels and is completely absorbed. find the average solar power absorbed.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 5.5kW B: 5.6kW C: 7.5kW D: 5.9kW
B
Electromagnetism
Electromagnetic Waves
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.018310546875, 0.01239013671875, -0.0296630859375, -0.00102996826171875, 0, 0.006378173828125, -0.01226806640625, -0.019287109375, -0.0294189453125, 0.006256103515625, 0.0140380859375, 0.025390625, 0.0252685546875, -0.002166748046875, -0.0174560546875, 0.001434326171875, -0.04907226...
946
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
Earth's magnetic field near the ground has a magnitude of \( 0.50 \times 10^{-4}\text{T} \) and is inclined downward at \( 45^\circ \); consider whether it is feasible to use this field for a levitation device. Suppose we use easily obtainable \( 1.0\,\text{T} \) permanent magnets to supply the horizontal magnetic field and suppose our bar has length \( 10\,\text{cm} \). Estimate how much extra weight we could levitate with our device using a current of \( 10\,\text{A} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.45N B: 0.83N C: 1.2N D: 0.22N
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.04296875, 0.01495361328125, -0.03125, 0.0172119140625, -0.0172119140625, 0.0198974609375, -0.018310546875, -0.00116729736328125, -0.041748046875, -0.00958251953125, -0.02001953125, 0.01092529296875, 0.0133056640625, 0.0016937255859375, 0.005645751953125, -0.0164794921875, -0.027221...
947
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
A rectangular loop pivots about the \( y \)-axis and carries a current of \( 15.0\text{A} \) in the direction shown. If the loop is in a uniform magnetic field with magnitude \( 0.48\,\text{T} \) in the \( +x \)-direction, find the magnitude and direction of the torque required to hold the loop in the position shown.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.042N·m, +\hat{\jmath} B: 0.030N·m, -\hat{\jmath} C: 0.026N·m, -\hat{\jmath} D: 0.034N·m, -\hat{\jmath}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0072021484375, 0.01202392578125, -0.001617431640625, -0.0072021484375, -0.0128173828125, 0.01177978515625, -0.0252685546875, 0.015380859375, -0.03466796875, 0.0106201171875, -0.01708984375, 0.0245361328125, -0.00555419921875, -0.0024261474609375, 0.0206298828125, 0.00958251953125, ...
948
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
A rectangular wire loop of mass \( 0.15\text{g/cm} \) is pivoted about side \( ab \) on a frictionless axis, and carries a current of \( 8.2\text{A} \) in the direction shown. Find the magnitude and direction of the magnetic field parallel to the \(y\)-axis that will cause the loop to swing up until its plane makes an angle of \(30.0^\circ\) with the \(yz\)-plane.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.048T,\ +\hat{x} B: 0.024T,\ +\hat{y} C: 0.012T,\ -\hat{y} D: 0.044T,\ -\hat{y}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0150146484375, -0.005767822265625, 0.0169677734375, 0.0050048828125, -0.001190185546875, 0.020263671875, -0.01336669921875, -0.0002498626708984375, -0.025634765625, -0.0026092529296875, -0.0137939453125, 0.0299072265625, -0.000457763671875, 0.00274658203125, 0.035888671875, -0.006195...
949
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
A uniform bar of length \( L \) carries a current \( I \) from end \( a \) to \( b \), and lies in a uniform magnetic field directed into the page. Find the torque about an axis perpendicular to the bar at point \( a \). Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: IBL^2 B: \frac{1}{2}IBL^2 C: \frac{1}{4}IBL^2 D: \frac{1}{3}IBL^2
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.026123046875, -0.0184326171875, -0.01055908203125, 0.00750732421875, 0.00506591796875, 0.027587890625, -0.0140380859375, -0.01416015625, -0.0283203125, -0.00469970703125, -0.00994873046875, 0.0115966796875, -0.014892578125, 0.00970458984375, -0.000942230224609375, -0.0098876953125, ...
950
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
A voice coil has 50 turns, diameter \( 1.56\,\text{cm} \), and carries a current of \( 0.950\,\text{A} \). It lies in a magnetic field of magnitude \( 0.220\,\text{T} \) directed at an angle of \( 60.0^\circ \) from the normal to the coil plane. Calculate the magnitude and direction of the net magnetic force on the coil.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.454N,\hat{\jmath} B: -0.444N,\hat{\jmath} C: 0.434N,\hat{\imath} D: -0.456N,\hat{\imath}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0030670166015625, 0.0146484375, -0.00133514404296875, -0.005126953125, -0.0264892578125, 0.01361083984375, -0.03955078125, -0.0015716552734375, -0.0164794921875, 0.005096435546875, -0.0091552734375, 0.0380859375, 0.026123046875, -0.0137939453125, 0.01141357421875, 0.016845703125, -...
951
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
What must be the current \( I \) in the bar for the bar to be in rotational equilibrium when it is at an angle \( heta = 30.0^\circ \) above the horizontal? Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.52A B: 2.26A C: 15.1A D: 2.60A
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.01422119140625, 0.0106201171875, -0.00732421875, -0.00408935546875, -0.002288818359375, 0.02099609375, -0.023193359375, 0.0205078125, -0.03466796875, 0.004730224609375, -0.02880859375, 0.03369140625, 0.0235595703125, 0.004974365234375, 0.0177001953125, 0.01190185546875, -0.00811767...
952
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
A square current loop of side length \( L \), carrying a clockwise current \( I \), lies in the \( xy \)-plane in a nonuniform magnetic field \( \vec{B} = \left( B_0 z/L ight) \hat{j} + \left( B_0 y/L ight) \hat{k} \), where \( B_0 \) is a positive constant. Find the magnitude an direction of the net magnetic force on the loop.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: -\frac{1}{2}IB_0L\hat{j} B: -IB_0L\hat{j} C: IB_0L\hat{j} D: 0
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.00531005859375, -0.00101470947265625, -0.00335693359375, -0.00775146484375, 0.0115966796875, 0.00848388671875, -0.007415771484375, -0.0025482177734375, -0.04248046875, -0.005523681640625, -0.0205078125, 0.0005035400390625, -0.00121307373046875, 0.017822265625, 0.00186920166015625, 0....
953
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
A thin uniform rod of mass \( 0.0840\text{kg} \) and length \( 18.0\text{cm} \) is fixed to the floor at one end by a frictionless hinge and is held at an angle \( 53.0^\circ \) above the horizontal by a horizontal string attached to the wall. The rod carries a current \( 12.0\text{A} \) toward the hinge and is placed in a uniform magnetic field of magnitude \( 0.120\text{T} \) directed into the page. Calculate the tension in the string.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.394N B: 0.472N C: 0.528N D: 0.708N
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0296630859375, -0.0098876953125, 0.00921630859375, -0.01080322265625, -0.00848388671875, 0.01129150390625, -0.010009765625, -0.01068115234375, -0.031982421875, -0.0142822265625, -0.035400390625, 0.013916015625, -0.01202392578125, 0.001953125, 0.017333984375, 0.0022735595703125, -0....
954
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
A cylinder of radius \( R \) and width \( W \) is wrapped \( N \) times by a conducting wire along its diameter, carrying a current \( I \). A uniform magnetic field of magnitude \( B \) points vertically downward. A mass \( M \) is suspended from a cable wound around the rim, and its height above the lowest point is \( h \). For what values of \( \sigma \) will the cylinder rotate more than \( 180^\circ \) if the mass is released from rest at \( h = h_{\text{top}} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \sigma < \frac{1}{2}\left(1 + \frac{\pi}{2} ight) B: \sigma > \frac{1}{2}\left(1 + \frac{\pi}{2} ight) C: \sigma > \frac{1}{2}\left(1 + \pi ight) D: \sigma = \frac{1}{2}\left(1 + \frac{\pi}{2} ight)
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0096435546875, -0.001953125, 0.006195068359375, 0.025146484375, -0.022705078125, 0.0289306640625, -0.0078125, 0.000148773193359375, -0.027099609375, 0.000659942626953125, -0.006500244140625, 0.044921875, -0.0103759765625, -0.029541015625, 0.0279541015625, -0.00048065185546875, -0.0...
955
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
To measure the mass of a muon, which has charge equal to that of an electron and initially zero speed, you apply a magnetic field of \( 0.340\text{T} \) and record values of electric field strength corresponding to zero deflection as a function of accelerating voltage \( V \), then plot \( E^2 \) versus \( V \). Use the graph to calculate the mass \( m \) of a muon.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.63 \times 10^{-28}\,\text{kg} B: 1.85 \times 10^{-28}\,\text{kg} C: 2.25 \times 10^{-28}\,\text{kg} D: 9.11 \times 10^{-31}\,\text{kg}
B
Electromagnetism
Electromagnetic Induction
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.0390625, 0.0118408203125, -0.00958251953125, 0.00016021728515625, -0.01141357421875, 0.044921875, 0.00372314453125, -0.00118255615234375, -0.0302734375, 0.0213623046875, -0.01153564453125, 0.03662109375, -0.01446533203125, 0.0021514892578125, 0.018798828125, -0.01104736328125, -0.0...
956
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
An alpha particle moves in a circular path in a magnetic field \( \vec{B} \) perpendicular to the motion. The frequency \( f \) of revolution is measured as a function of \( B \), and the data form a straight-line relationship. With \( B = 0.300\,\text{T} \), what are the cyclotron frequencies \( f \) of an electron?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.58MHz B: 8.4GHz C: 8.4MHz D: 16.8MHz
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Predictive Reasoning']
[ 0.04541015625, 0.0177001953125, -0.00885009765625, -0.0172119140625, 0.0078125, 0.03466796875, -0.0277099609375, -0.01025390625, -0.043701171875, 0.004730224609375, -0.0023651123046875, 0.0302734375, -0.0107421875, -0.0189208984375, 0.00148773193359375, 0.005035400390625, -0.02416992...
957
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
A particle with charge \( 2.15\mu\text{C} \), mass \( 3.20 \times 10^{-11}\text{kg} \), and initial speed \( 1.45 \times 10^5\text{m/s} \) enters a \( 0.420\text{T} \) magnetic field perpendicular to its velocity. The field region is \( 25.0\text{cm} \) long, followed by a field-free region of \( 50.0\text{cm} \), and the total deflection by the time it strikes the wall is \( \Delta x \). Determine \( \Delta x \), the total horizontal deflection.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.0245m B: 0.0305m C: 0.035m D: 0.0172m
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0167236328125, 0.0031280517578125, 0.003814697265625, -0.01513671875, -0.00689697265625, 0.0203857421875, -0.0074462890625, 0.00836181640625, -0.0220947265625, 0.0023651123046875, -0.03662109375, 0.038330078125, -0.0164794921875, 0.005035400390625, 0.0224609375, -0.0166015625, -0.0...
958
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
A particle with mass \( m \) and charge \( q \) starts from rest at the origin in uniform fields \( \vec{E} \) along \( +y \) and \( \vec{B} \) out of the page. The particle moves in a cycloidal path with radius of curvature at the top points equal to twice the corresponding \( y \)-coordinate. Applying Newton's second law at the top point and taking as given that the radius of curvature here equals \( 2y \), prove that the speed at this point is \( \frac{2E}{B} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \sqrt{\frac{2qE}{m}} B: \frac{2E}{B} C: \frac{E}{2B} D: \frac{E}{B}
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.0130615234375, -0.0201416015625, -0.0111083984375, 0.000568389892578125, -0.00897216796875, -0.002044677734375, -0.02587890625, -0.005157470703125, -0.000056743621826171875, -0.001922607421875, -0.01904296875, 0.01806640625, -0.030517578125, -0.002655029296875, 0.031982421875, -0.016...
959
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
An electron and a proton are each moving at \( 735\,\text{km/s} \) in perpendicular paths. At the instant when they are at the positions shown, the magnetic field the electron produces at the location of the proton.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 1.12 \times 10^{-4}\T B: 2.24 \times 10^{-4}\T C: 2.24 \times 10^{-3}\T D: 3.36 \times 10^{-4}\T
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.018310546875, 0.0172119140625, -0.01434326171875, 0.016357421875, -0.00836181640625, 0.02197265625, -0.029296875, -0.01165771484375, -0.0185546875, 0.01708984375, -0.0091552734375, 0.018310546875, -0.00885009765625, 0.00171661376953125, -0.00133514404296875, -0.007537841796875, -0....
960
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC5AOgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqtBqNlc3k9pBdQy3FuAZo0cFo85xuA6dDVmuM8PxpF8TPFaxoqL5FnwowPutR1B7XNu88VaDp+qJpl3q9pDeuQBC8oDZPTPpn3rYrkvGGj2s/hO60a3tllutRcrCrDLGVjkyE/7PJJ7AY9K33Emn6Eyoxkkt7YgMerFV6/pSbtFt9B2u0kJ/bem/bPsn2yPzvM8rGeN+M7N3Td/s5zV+vK0QN+z81yW/fm2a7Mn8Xm+Zv3Z9d1elabO9xpVncS8SSQI7/UqCapq10+hN72fckN1bi8W0MyfaGjMgiz8xUEAnHpkipq8h1vXrO31yz8Zw6hE8sF4baS2WTJ+xH5M4/3gX/4F7V64jrIiujBlYAgjoRSWquN6Ow6iiigAooooAKKKKAM3Vdd0/RmtkvZij3MyQRKqFizscAcdPqfStKuO+In/HloX/YbtP8A0KuxoW1/P9F/mD3t5f5mDrPi/S9DvRZ3Qu5JygcrbWsk20HpkqDjpVy51u2tpLWAxzPd3SGSK2RMybQASSM4AGR1PXiuW8UaHq+jNqPijQtdu1mQG5uLG42vbyqq8qBgFflHWjRrp774pXVzKpUPokDwqf4VZiW/WiOun9bN/oD01/rdL9TsNO1K11W0FzaSb49xQ5BBVgcFSDyCDxirdcX4JLjxD4xjGfs66plPTcUG79cUs1xq97471TRo9YntrOPT47iPyooy6MzMOCVPHHcH6ilfRPur/hcdt/L/ADsdnRXmNr4i11vCfh7xDNqjtLPfRWs9ssMYikQyGMk/Lu3cZyCB7VtzXGr3vjvVNGj1ie2s49PjuI/KijLozMw4JU8cdwfqKb0/H8FcX9fjY7OivMbXxFrreE/D3iGbVHaWe+itZ7ZYYxFIhkMZJ+Xdu4zkED2r06nYAooopAFFFFABRRRQAVgab4furHxTqmtSX8Uq36RI0C25UoIwQMNvOevpW/WTeeJ9D0+7e1vNVtYJ48bo3kAIyMj9CKaTb0Gk5aIybjw94nfV7m+tvFFrD5vyojaUH8pOygmX8T6n8K1odP1OO6sS+rebaxQMl1E8AzcSHo+7Py9/lHFQf8Jp4a/6Ddl/39FH/CaeGv8AoN2X/f0VXs5WtYrknvYz/wDhDG/sRvDwvFGitNv8vyz5oj37/K3ZxjPGcZxx71u6xY3N9o1xY2F2llJLGYxMYvM2AjBwNy8496pf8Jp4a/6Ddl/39FH/AAmnhr/oN2X/AH9FL2cmrWYck73sT32ire+F5dEZoVSS2+z7vKJQDGMhd2f1o8NaTd6HoNrpl3qC3zWyCNJxD5ZKjoCNzcgcZrgr7xfceHdUnvrHX7TXNNnkLvaSTBZYc/3D6fT8u9df4c8caL4mkW3tJZI7vYXa3lQggDGefunr65rSVGcU5dGVKhKMU7aI6SiiisTIKKK88u9a1u++IN1pMGryWNjEGRFhhiZiypE+4l0br5jDHsPeplJRV2NK7seh0Vyf2DWf+hsvv/Ae2/8AjVH2DWf+hsvv/Ae2/wDjVY/WYF+ykamveHofEC2iT3l1AtrcJcoICgy6HK53KeKs3mmveTWMg1C8h+yy+YywuFE/GNsgxyO+OKwvsGs/9DZff+A9t/8AGqPsGs/9DZff+A9t/wDGqPrMA9lIvDw1JILqC81m/u7G4kLtazFMAE5Kbgu7Z7Z6cVavNEhuNRt9Rgle1vYI2hWWMAhozglWBGCMgEehrH+waz/0Nl9/4D23/wAarjvFeteKtB1iC3g8UTyQzQGQbrS33KQcHny+RyP1prEQexcKE6kuVbs9O0nSLbRrV4LcuxklaaWWQ5eWRjks2O9VV8OQp4hutbW9uxc3NuLdk/d7FQEkYGzOck9Sa8h/4TTxd/0MU/8A4C2//wAbq9ofirxTqHiGx0+fxHcCK5Z0LLbW4KkIzg/6v/Zx+NP20DeeXV6cXKS0O+XwHYp4estFXUdR+y2dyLmNt0W/cG3AE7MYyfStFPDcUfiC51pb+8+03Futsy/u9gUEkYGzOck96zfsGs/9DZff+A9t/wDGqPsGs/8AQ2X3/gPbf/Gqn6zD+vuOX2Uv6+8VfAdinh6y0VdR1H7LZ3IuY23Rb9wbcATsxjJ9K6oDCgEkkDqe9cp9g1n/AKGy+/8AAe2/+NUfYNZ/6Gy+/wDAe2/+NU/rUA9lI6yiuT+waz/0Nl9/4D23/wAao+waz/0Nl9/4D23/AMapfWYB7KR1lFcn9g1n/obL7/wHtv8A41R9g1n/AKGy+/8AAe2/+NUfWYB7KR1lFcn9g1n/AKGy+/8AAe2/+NUfYNZ/6Gy+/wDAe2/+NUfWYB7KR1lZl34c0S/uXubvSrOed8bpJIVZmwMDJI9AKxvsGs/9DZff+A9t/wDGqPsGs/8AQ2X3/gPbf/GqaxUVsNQktjS/4RDw5/0A9P8A/Adf8KP+EQ8Of9APT/8AwHX/AArN+waz/wBDZff+A9t/8ao+waz/ANDZff8AgPbf/Gqr64u7Hap3NL/hEPDn/QD0/wD8B1/wo/4RDw5/0A9P/wDAdf8ACs37BrP/AENl9/4D23/xqj7BrP8A0Nl9/wCA9t/8ao+uLuwtU7nN33hC78R6pPZW2hWOhaXBIUa5NujTTY7rjoPp+Z6V13h7wVovhphNZQM11s2NcSuWYjvx0H4Cqv2DWf8AobL7/wAB7b/41R9g1n/obL7/AMB7b/41VSx6kuXoXJ1JLl6HWUVkeGb641HQYZrtxJcLJLBJIBgOY5Gj3YHTO3P40Va1OY1652+8GaZfa5JrHm3lveSJsdrecoG4Azj1wqj/AICK6Kik0nowTsc5/wAIfb/9BXV//Av/AOtR/wAIfb/9BXV//Av/AOtXR0VPsodkVzS7nOf8Ifb/APQV1f8A8C//AK1H/CH2/wD0FdX/APAv/wCtXR0Ueyh2Qc0u5zn/AAh9v/0FdX/8C/8A61Zd78L9I1C8N1c6nrLylQgzdA7QOwyvHrXb0UKnBbIFOSd0zgf+FR6F/wA/+r/+BK//ABNPsvhXpVhqaXsGqasGVGQKZ14JxyCFBHAI/Gu7op8kexTrVGrOT+84VbPRxrDaVc6vrlnd7sQrc3BRbgesbYw30Bz7Vr/8Ifb/APQV1f8A8C//AK1bV/p1nqlm9pf2sVzbv96OVQw+v196rQ2baJorwafHPeNCGMMM1wSzc5Cb3zgDoM0vZQ7Inml3M7/hD7f/AKCur/8AgX/9aj/hD7f/AKCur/8AgX/9areleJbDVZ2tP3tpqKDMljdr5cyj1A6MP9pSR71o30MlxYXMMMphlkiZEkH8BIwD+FJ04JX5UClK+5z0fhnTpZ3gj13UnlT78a3wLL9Rjipf+EPt/wDoK6v/AOBf/wBauL8N6mmoal4e0G5hi07UNKdn+0A/LfKqsh8lh94MeWye3ft1XxIv57HwfKtvI0b3U8VqXU4Kq7gNg9uMj8abpQ6JagpSvqyWHwxp9zv8jXNTl2HDbL3dtPocCj/hGNP+0/Z/7c1Pz8Z8r7b82PXGM1leLJk8Ma54avLCJYlYyWckaDAePyyyggehXI/GslVZvgm2uFv+JmVOpfaf4/O35zn6fL9OKXs6dm7Ky8v66f5ApSulfc7D/hD7f/oK6v8A+Bf/ANaj/hD7f/oK6v8A+Bf/ANatE6xBb+HF1i8Plwrai4k46Dbk1nvrmsRPbO+hhoLiF5Q6XGfJKruCyfLxkcZGeeOetN0oK90tAU5NJp7if8Ifb/8AQV1f/wAC/wD61H/CH2//AEFdX/8AAv8A+tWTB48vpNM0PVH0RFs9VlWBAt3mRZGzt42gbcjGc59q29F1+5vtb1PSL+zitruxEcmYZjKjo4ODkqpyMEHij2UNuVC533Iv+EPt/wDoK6v/AOBf/wBaj/hD7f8A6Cur/wDgX/8AWro6KPZQ7IfNLuc5/wAIfb/9BXV//Av/AOtR/wAIfb/9BXV//Av/AOtXR0Ueyh2Qc0u5zn/CH2//AEFdX/8AAv8A+tR/wh9v/wBBXV//AAL/APrV0dFHsodkHNLuVtOsLfS9PhsrVSsMK4XcSSe5JJ6knJJ96Ks0VZIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBS1DSNP1VYhfWkU5hcSRMw+aNh3U9QfpWf4ofVRp8kVlY/a7aaGSK4EMoW4TcMBowcK2OeCQemK3aKTV1ZjTs7nnWj248TadoViDaRyaFPE8zqzLMnljAXymUMhbjOePTPWug1nRNR8R6Zq2m6g1pDC0iNp8sO4uu3DBpAeM7h27V0H2a3F0boQR/aCnlmXYN+3OcZ64z2rBudT1zRbqWS+sRqOls5ZZ7BD50C54DxEneB/eU54+7Tbv8A1/XYS02GT6He61rGl3mrRQRQ6crsIo5C/mysu3PQYUDOO/PbHOd/wiOoDwk3hIPD/ZxkKC63neLcvu27cfex8uc47+1ddYX9rqljFe2U6zW8oyjr0ODg/QggjHbFWaAMzWdFh1fw5d6MWMUU8BhDL/BxgH8OKx9LtPF4037FqjaWRDCY1lgkfNwduAWyvyDucZOfSurooave/UFpa3Q4GPwhrcfhXwxpYOnmfSbuKeZvPfa6pnhf3ecnPetvTtG1G28b6trEwtfsl5BDEgSVi4KZ5IKgc59a6OinfW4raW/ruFFFFIYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFa/tprqxlgtruSzmb7k8SqxQ5z0YEH39iaxbfV9Z0y5itNdsPPjkYJHqNghaMknA8yPlo/r8y+4ro6xvEr38mlyWGnae91NeRvDv80Rxwgrjc7HJ78AAk0AcfN8b/CcOsGxH2ySAPsN4kYMX1HO4j3xXof2hZLP7TbvHIjR+ZGxb5WGMg5Hb3r5am+FHjKLWDpw0iST5sC4Rh5JH97f2HfB59q9z8Ql/B3wlayWbzLiCySyjcfxSMAmR+ZP4UpXtoUkmyK3+Id4fCA8UXejRR6Z52xvLuy0gTfs3hSgBGe2RXeIwdFdejDIrktO8C2qaHpmnaheXl1a2aRkWjlFi3rzyFUFhnnDE111U0loQnfUKKKKQwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqm+q2Eepxaa13F9ulUutuGy5UdTjsPc0AXKrtdB4LhrMx3M0O5fLWQD94BnYTztPI69M1k6jo2pavfSR3OqNbaSMBbeyzHLNxz5knUDOeExx37VqafptlpNmlpp9rFbW69I4lwM+p9T70AYQ8PahrZEnia8DQHkaZZsVgHtI3DS/jhf9munAAGB0FFFABVS/0rTtURE1GwtbxUO5FuIVkCn1GQcVbooAaiJGioiqqKMKqjAAp1FFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFVNR1Ox0iza71C6itoF4LyNgE+g9T7DmgC3Wdq2u6dokSPfXIR5DtihUF5JW9EQZZj9BSaXqbazaSzJZ3lnETthkuIwjSDH3wp5A9NwH0qLSfDen6RK9zGslxfSDEt7dP5kz+xY9B/sjA9qAJdStLrVbKGO11C405XIaVo4x5pQj7oLfcPTnBI/WobbQrbRtKu4tFgSG7ljYiZyXeSTBwzucljn1JrYqtqEM9xpt1DbS+TcSROkcn9xiCAfwNTL4WOO6POfDWqrqmoaRY2nnWuvWEh/tlZ5DudQpDZyf3m5sEEZx7d+p8e6vc6N4Umls5DHdTyx20Ug6oXYLuHuATWJH4dubmHwwq6S9lqelSx+feFlx5ag+YAwOXDnt75OK1vEenaj4p0bVdNaw+xvbzRyWM7zBlnZSHBwOVGRjmrf6/hpt/l6iW/y/z3/wAyhrlwvg3W9BltC4tLoyW11GXLCQhNyuc/xZByepzzWWtzdt8LW8YefJ/bBBvhLuPCh/8AV46bNvG3p36810GoaVdeKNa0aW7sZbSzsPMmmEpXLysu0KuCcgZJJ6dMVmDw9qy+AW8GC1beSbYXm5fL8gvnf1znbxtxnPtzS1s+/T+vX8Bq1126/wBeh2seowf2OmpzOIrcwCd2Y8Ku3cc/hWW3iuOOa2SXS9QRbuJ5bd9ikOFG4g/N8pI5AbH58VPruh/2n4QvNEtpBEZbUwRMegwMDPtwKy9Lv/Et1pRs7/w+1rNDAY5ZPtEbrMwXA8sBu5wctgD3ok9+X+t/+AKK0V/62Eh+IFlLa6XenTNSSy1JhHBOY0wZCDhNobdk4IzjHvWtpHiGPVdRv9PezubO8sthkhn2ElXBKsCjMCDg9646LQNcj8G+ENPOkzG602+hmuUE0XyIhbJB34PUdK6DS7DUIviDrWpTWMkdldW0EcUxeMhmTdngMSOvpT0u15v8hdPu/M6miiikMKKKKACiiigAooooAK8xvJ7jUfide2V1qGox2sasi29veywKoWOFg2EYZOZG5P8AeHoK9OrIv/C+h6nfG9vdMgmuSoQykYYgdASOtROLlGydiotJ6mJ/YVh/0ENa/wDBxdf/AByj+wrD/oIa1/4OLr/45Wp/whXhv/oEwfr/AI0f8IV4b/6BMH6/41zewq/z/n/mae0h2Mv+wrD/AKCGtf8Ag4uv/jlH9hWH/QQ1r/wcXX/xytJvBvhlBl9LtlGQMkkcn8ad/wAIV4b/AOgTB+v+NHsKv8/5/wCYe0h2Mv8AsKw/6CGtf+Di6/8AjlcN4y+0aVrlvDp+ua0kUlsXeI6pO20hsA5L555/KvSJfCfhSAgS6fZxk8gO+M/rVW58CeCcG8uNLs1VwP3rSlVPpzuxVRo1E9Z/195dOtTjNScbnkf9pat/0HNZ/wDBlP8A/F1PosLap4y0n7feajcnMi73vpi8aiNmyrbsryAOvevWF+HPg9lDLosBBGQQ78/+PVLD8PvCluxaLRbdWIxnLE4/E1Xsp/zHTUxtCcHGNJL7v8il/YVh/wBBDWv/AAcXX/xyj+wrD/oIa1/4OLr/AOOVqf8ACFeG/wDoEwfr/jR/whXhv/oEwfr/AI1n7Cr/AD/n/mcftIdjL/sKw/6CGtf+Di6/+OUf2FYf9BDWv/Bxdf8AxytT/hCvDf8A0CYP1/xo/wCEK8N/9AmD9f8AGj2FX+f8/wDMPaQ7GX/YVh/0ENa/8HF1/wDHKP7CsP8AoIa1/wCDi6/+OVqf8IV4b/6BMH6/40f8IV4b/wCgTB+v+NHsKv8AP+f+Ye0h2Mv+wrD/AKCGtf8Ag4uv/jlH9hWH/QQ1r/wcXX/xytT/AIQrw3/0CYP1/wAaP+EK8N/9AmD9f8aPYVf5/wA/8w9pDsZf9hWH/QQ1r/wcXX/xyj+wrD/oIa1/4OLr/wCOVqf8IV4b/wCgTB+v+NH/AAhXhv8A6BMH6/40ewq/z/n/AJh7SHYy/wCwrD/oIa1/4OLr/wCOUf2FYf8AQQ1r/wAHF1/8crU/4Qrw3/0CYP1/xpG8GeGkUs+lW6qBkkkgAfnR7Cr/AD/n/mHtIdjM/sKw/wCghrX/AIOLr/45R/YVh/0ENa/8HF1/8crPtB4K1HxEukadoovMAmW5hUmKIjpls856Z6dK6T/hCvDf/QJg/X/Gqlhq8d5fn/mVKUY7xMv+wrD/AKCGtf8Ag4uv/jlH9hWH/QQ1r/wcXX/xytT/AIQrw3/0CYP1/wAaP+EK8N/9AmD9f8an2FX+f8/8yfaQ7GX/AGFYf9BDWv8AwcXX/wAco/sKw/6CGtf+Di6/+OVqf8IV4b/6BMH6/wCNH/CFeG/+gTB+v+NHsKv8/wCf+Ye0h2H+Ebia58N27zTPMySTRLLIcs6JK6KxPclVBz3orWtraCztYra2iSKCJQiRoMBQOgAorrWxiS0UUUwCiiigDiviLBG0OgTFcyLrNqoOTwC/PFdrXN+L9F1HW4dNjsBa4tb+G7czysmQhzgYVuTWreNq3nWP2KOz8oy/6Z5zNlY8f8s8Dk59aFtbz/RA97+X+Z5/4w0+7tNautc1zw3put6Ku0B1djcWsQHJ2kYIzljj161sWlzFq3xMMGFexsNJjltY8fKGkP3gPXaAPpmtO6t/EOrWWo6Xe21hBb3G+JbqGdmPktx9wr9/HvjND+H5dO8Q2+saWkbhbIWM0Dvt3IpyjA4PI5HPY+1EdLf10f8AwBy1/rzX/BKXge4ePUPEukAn7Pp+okW69kR1DbR7Ak4HvVq48Sal/wAJLfaHZaVBLNb2q3Kyy3RRGDEjBwhIPHv9RVzw3ocmkJf3Fy6Pe6hdNdTmPJVSeFUE9QAAM9+aqR6LqcXjfUNaC2htp7FLaNfOYPuVickbMAHPqaTvZen6f5h3fn+v+RnW/jy5n0rSNYbSUj02/uEtXZrnMsbsxXIULgqGGM5B9q0LjxJqX/CS32h2WlQSzW9qtysst0URgxIwcISDx7/UViR+DNcj8EaTomdONxZXyXLv9ofYyrIXwP3ec846VuQ6Nqkfja/1spZm3uLFLZE89t4ZSTk/JjHPrTfl5/lp+Iv+B+f+RnW/jy5n0rSNYbSUj02/uEtXZrnMsbsxXIULgqGGM5B9q7evPY/BmuR+CNJ0TOnG4sr5Ll3+0PsZVkL4H7vOecdK9BGdo3AA45AOabtr6/5f8EXX+vMWiiikMKKKKACiiigAryb4h6B4xvbq4nilkvNJ3ZjtrduUGP4kAG45+tes1FHdW80rxRTxPJH99FcEr9R2rSlUdOXMkaU6jpy5kjybwaNfvNP+y6F4j021Mf8ArLRrNVkU9yw25b65NdP/AGR8Qv8AoZrD/wABV/8AiK6GfQdGXWI9cltYY72IECfO3OeMnsTzjJ9a1q0nXu7pL7kXOtd3SX3I4j+yPiF/0M1h/wCAq/8AxFH9kfEL/oZrD/wFX/4iuy+1W/2n7P58Xn4z5W8bseuOtS1Htn2X3In2r7L7kcR/ZHxC/wChmsP/AAFX/wCIrV0Cw8U2t9I+uaxbXlsYyFjihCEPkYOQo7Z/Ouh3Lv2bhuxnGecUtJ1W1ay+5CdRtWsvuCiiiszMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAIbuA3NpLAsrxGRSvmJ95c9x71xN/wCGNOsfGnh19AsorO7id5Ltrddu632kHzMfeJbABPJ59K7e5M4tpTapG84U+WsrFVLdskAkD8DXJaZZ+NoJ/wDSk0BRPIGubmOeZ5SP9kFAOBwBnA/PItwexn/ECeTUtEeaN2Wxtb23Rdpx50nnKGPuq8j3OfQV3d5ObWxuLgDJijZ8euBmuN8Q/DXSb/S2h0yziguTNG+6SeTbtDgsOp6gHt+VdFHY3dnc2lhZQWi6GsDpMHdzKG/hC54I5Oc0rPkaW/8AwEO65r9P+CcGqs3wTbXC3/EzKnUvtP8AH52/Oc/T5fpxXpWn3JvNNtbphgzQpIR6ZANcj/wiOoDwk3hIPD/ZxkKC63neLcvu27cfex8uc47+1dLqsF+NDmttFFul0YvLhM7lUTjAOQpPH0qm92vl/X3fcJLZP+v61OE1nVprHxRY+Lxc501bptMli3cCAnHm4/66A8+mK9NByMjpXKah4J0y78KTaZHpOnrdPbeUsm0Aq2MBvM2bs55zjmtPwva6tY+HrSz1p7aS8t4xG0tvIzLIBwCdyg5xQtFbt/X56/MHq7/1/XT5GxRRRSAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//9k=
Two parallel wires \( 5.00\,\text{cm} \) apart carry currents in opposite directions. Find the magnitude and direction of the magnetic field at point \( P \) due to two \ 1.50\,\text{mm} \) segments of wire that are opposite each other and each \( 8.00\,\text{cm} \) from \( P \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3.52 \times 10^{-7}\,\text{T} B: 2.64 \times 10^{-7}\,\text{T} C: 1.32 \times 10^{-7}\,\text{T} D: 2.64 \times 10^{-8}\,\text{T}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.018798828125, 0.01318359375, -0.01104736328125, 0.00982666015625, -0.0216064453125, 0.022216796875, -0.030517578125, -0.00811767578125, -0.025146484375, 0.006744384765625, -0.0201416015625, 0.031982421875, 0.01092529296875, 0.018310546875, -0.00159454345703125, 0.01202392578125, -0...
961
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
A wire carrying a \( 28.0\,\text{A} \) current bends through a right angle. Consider two \( 2.00\,\text{mm} \) segments of wire, each \( 3.00\,\text{cm} \) from the bend. Find the magnitude of the magnetic field these two segments produce at point \( P \), which is midway between them.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.12 \times 10^{-5}\,\text{T} B: 1.76 \times 10^{-5}\,\text{T}, C: 8.80 \times 10^{-6}\,\text{T} D: 1.76 \times 10^{-4}\,\text{T}
B
Electromagnetism
Magnetism
['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning']
[ 0.01214599609375, 0.01031494140625, -0.0032196044921875, 0.000148773193359375, -0.021240234375, 0.0299072265625, -0.026611328125, -0.0027313232421875, -0.033203125, 0.0093994140625, -0.0262451171875, 0.047607421875, 0.00860595703125, 0.034423828125, 0.0179443359375, -0.0013275146484375...
962
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
A long wire carries a current of \( 8.00\,\text{A} \), and a uniform magnetic field of magnitude \( 1.50 \times 10^{-6}\,\text{T} \) is present in addition to the field from the wire. What is the total field (magnitude) at the following points in the \( xz \)-plane: \( x = 1.00\,\text{m}, z = 0 \)Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \( 3.10 \times 10^{-6}\,\text{T} \) B: \( 2.19 \times 10^{-6}\,\text{T} \) C: \( 1.99 \times 10^{-6}\,\text{T} \) D: \( 1.60 \times 10^{-6}\,\text{T} \)
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.01202392578125, 0.0101318359375, -0.005645751953125, -0.008056640625, -0.002960205078125, 0.0184326171875, -0.01153564453125, -0.00445556640625, -0.052001953125, 0.007415771484375, -0.040771484375, 0.036376953125, 0.006439208984375, 0.00135040283203125, 0.0184326171875, 0.00027275085...
963
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
Two charges, \( q = 8.00\,\mu\text{C} \) and \( q' = -5.00\,\mu\text{C} \), move with speeds \( v = 9.00 \times 10^4\,\text{m/s} \) and \( v' = 6.50 \times 10^4\,\text{m/s} \) respectively. When the charges are at the positions shown, find the magnetic force that \( q' \) exerts on \( q \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: (7.49 \times 10^{-8}N)\hat{\mathbf{i}} B: (7.49 \times 10^{-8}N)\hat{\mathbf{j}} C: (7.49 \times 10^{-9}N)\hat{\mathbf{j}} D: (1.50 \times 10^{-8}N)\hat{\mathbf{j}}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.030029296875, 0.004302978515625, -0.00007200241088867188, -0.0152587890625, -0.017333984375, 0.0198974609375, -0.00640869140625, -0.003204345703125, -0.020263671875, -0.0179443359375, -0.017578125, 0.03076171875, 0, -0.00555419921875, 0.0162353515625, 0.01300048828125, -0.033203125...
964
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
Two long wires perpendicular to the \( xy \)-plane carry currents \( I \) in opposite directions. What is the magnitude of \( \vec{B} \) when \( x \gg a \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{\mu_0 I}{2\pi x} B: \frac{\mu_0 I a}{\pi x^2} C: \frac{\mu_0 I a^2}{\pi x^3} D: \frac{\mu_0 I}{\pi(x^2 + a^2)}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0019683837890625, -0.001434326171875, -0.01019287109375, -0.01263427734375, -0.0037078857421875, 0.0201416015625, -0.015869140625, -0.0240478515625, -0.032958984375, 0.006988525390625, -0.04052734375, 0.040283203125, 0.0048828125, 0.0031890869140625, 0.02783203125, 0.001617431640625,...
965
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
Two long, parallel wires hang from a common axis, each with a linear mass density of \( 0.0125\,\text{kg/m} \) and carrying equal but opposite currents. What is the current in each wire if the cords hang at an angle of \( 6.00^\circ \) with the vertical?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 11.6A B: 23.2A C: 8.36A D: 46.4A
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0196533203125, 0.00830078125, 0.006378173828125, -0.003387451171875, -0.005096435546875, 0.0279541015625, -0.0079345703125, 0.0012969970703125, -0.025634765625, -0.0113525390625, -0.034912109375, 0.033935546875, 0.00982666015625, 0.0216064453125, 0.029296875, 0.00433349609375, -0.0...
966
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAE4ANcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigDIuNdH9rtpOn25u72NA83z7I4FPTe2DgnsACfwqxpl9cXouRc2LWkkExiwXDB+AdynjjmuZ8PO2ga34hi1OC5Et5fm5gmS3eRZoyoCgFQeVwRg12MEjSwpI8TRMwzsfGR9cULZP+v66A97ElFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGHqXiQWWpNp9rp11fXEcYllEJRVjBzjJdhknB4GenPaqg8Xzj7/AIa1X/gElsf5yisbxBNLb6h4vmhkaOWPS1dHU4KsIpCCK2k8G2hiQrqWrKxUHP2sn+ea5XOtKTULad7mqUElzXHL4yhH+u0fV4R6mBX/APQGapF8a6ETiWe5t/U3NlNEB+LIB+tQHwe68xeItWQ+jCBx+sWf1qJvDOtx8wa7bSD0uLHJP4o64/KjmxK3SfzYWpPqzcstd0jUm22Oq2V0392G4Vz+QNaFcHe+HtYnUi90TRtST/Zmwx/4C6Y/8erO8g6Z1s/EOjbe8DPJEv4IXjA+oo9vOPxwfy1D2cXtI9NorgtP8Q6tIpNhrOm6xGv3kmUJJ9C8fA/74rXi8Yxw8arpl5ZesqL9oi/76TLAe7KtXDE0puyev3ClSmuh01FVrHULLU7cXFjdwXMJ43wyBx+YqzW5mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeeeJv8Aj58Zf9gkf+ipK9Ah/wBTH/uj+Vef+Jv+Pnxl/wBgkf8AoqSuw1eaS28MX88LlJY7OR0YdVYISDWNFXnNef6I0krqKNOisvw1cTXfhjS7m4kMk0trG7u3VmKgk1qVu1Z2Ias7BRRRSEZ2o6BpOrMGvtOtp5B92VoxvX6MOR+BrHm8Iz2/zaTrFxEB0gvB9pj/ADJEn/jx+ldTRUTpwmrSVyoycdmeb32mXFncG61LRpoJh11LSJGY4/2tmJMexUr71f03xDq0UAlt7m216y6bgyxzj23D5GPsQnua7msbUvC+malO1yYmtb0j/j7tW8uX8SOGHswI9qw+ryhrSlbyeqNPaKXxofpfiTTdWlMEMrQ3ijLWlwvlyqPXaeo91yPetauB1XRNRt4tuo2SazZIdy3Fsm24i/2tg6kf3ozn0WnaVr2oWkAltLn+3NOB2lHcC5ix1AY4Dkf3Xw3qxoWIcXy1lbz6CdO+sHc7yiqGlazYazA0tlPvKHbJGwKyRN6Op5U/Wr9dRkFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnnib/j58Zf8AYJH/AKKkrrdd/wCRR1P/AK8Jf/RZrkvE3/Hz4y/7BI/9FSVJ48+26TaHWreSWS0ms2sby3LEqodSEkA6Ahjg/UetRhY81WS8/wBEbxjzOKOm8I/8ido3/XlF/wCgitmvPPh19t1iO21SaSWKxsLVbG1gDECRgo8xyO/IwPp6ivQ63qx5ZtEVY8s2gooorMzCiiigAooooAKxdW8M2WpTG7iZ7LUcYF3b4DHHQOOjj2YH2x1raopNJqzGm1qjzfUba40+7ik1cGxulOy31myO1GyeFbOduf7j5U9iTW/p/iiW2ljs9fSOF3ISK+jGIJSegbP+rY+h4PY5OK6aWKOeJ4pY1kjcFWRxkMD1BHeuO1Lw1PpUTtpcJvdMYES6ZIQxRe/lFuo/2Dx6EdDyulOjrS1Xb/I154z0nv3O0orz/Rtal0i3WW0eXUNEBKtDgtPZ46hQfmZR3Q/MvbPC13Vpd29/aRXVpMk0Eq7kkQ5DCt6VWNRXiZzg4vUmooorQkKKKKACiiigAooooAKKKKACiq9xf2dq4S4u4IWIyBJIFJH41MjpIgeNlZTyGU5BoA8+8Tf8fPjL/sEj/wBFSV215YQapo8thcqTDcQ+W+OuCOo964nxN/x8+Mv+wSP/AEVJXoEP+pj/AN0fyrCi7Tm/P9EaSdlFlXSNLttE0q306zVhBAuF3HJOTkk+5JJq7RRXQ227shu7uwooopCCiiigAooooAKKKKACiiigDnta8ONc3DanpTpbalgBw3+quQOiyAd/RhyPccVzWnXtzp15cXWm27xzo/8AxMtIkIBLf307ByOQw+Vx19R6NWLrugLqoS6tpBbanACIbgDII/uOP4kPp26jBrnq0W37SnpL8/U0hOy5ZbF/TdStdWsUvLOTfE+RyMMrDgqwPIIPBB6Vbrzm0u7yx1C4vLO3MWoxELqWmM3E4xwynpuwPlfow4OMfL3mnaja6rYRXtnJvhkHBxggjggjqCDkEHoRVUayqLs1uhThy+haooorYgKKKKACiiigAooooA5C7RdX+J1nAyh4dIsXnbIyPNlO1R/3yrH8aj8Ktnxp4oSxG3SY5IVVV+4Ljb+82joO2cd63B4Z0sX15eqlylxeY890vJl34GBwHwAB2FaFnZW2n2qW1nBHBAn3UjXAFC0/rzB6nF+JIpbTxDcrNp097aazAtsq2+0klUfejAkEZTJBHoenGc42rwgZsfFsAHQpd3L4/BZG/lXeX+nveajpVyrqq2Vw8rAjlgYnTA/FwfwrQrnnhlKTkpNX7M0VVpWsjzP+1ZLUceINfsgP+fuzOPxM0JP61oWHiHV5QDY61pOrRjqHTa5/4HGxA/74rvKzr/QNH1Nt19pdncP2eSFWYfQ4yKn2FRfDUfzsx+0i94mPH4tu4P8AkI6FcIveSykW4Ufh8rn8FNa+m+INJ1djHY38MswGWhJ2yr9UbDD8RWZL4Mt4/m0vUL6wb+4JfOjP/AZN2B/ulaxtT0DVNgGo6VY6zAnIkthsmX3Ebkj8nz6CjmxEPiSkvLQdqctnY76ivO9N1a9tpWh0nVDOY+X03VQ/mIPQMf3i/Vg49BXSad4stLi4Sz1CGTTb1zhI7ggpKfSOQfK304b2q6eIhN2Wj7PcmVOUdeh0FFFFbmYUUUUAFFFFABRRRQBieINCOppHd2brBqlsD5EzD5WHeN/VD+hwRyK5Ww1OXTLqbVLe3lRQ+zVtOxl0YAfvFA6sBg8ffXGMnbXotc14k0eYyjWtMjL30KbZoF/5eohzt/3xyVP1HQ8c1ak2/aU/iX4+RrCa+GWx0NvcQ3VvHcW8iywyqHR0OQykZBB9KkrhPD2rQ6VcwrHIG0PUn3QP2tpmP3fZXPbs/H8XHd1rSqKpHmRE4uLswooorQkKKKKACiiigAooooAxdZkdNb8OqrsFe8kDAHhh9nlPP4gVtVRvb2G2v9Ngkh3vdTtHG3H7siN3J/JSPxq9QAUUUUAFFFFAFHU9G07WIlj1C0jn28oxGHQ+qsOVPuCK5fUfDmo2cDxRqut6aww1rc7fPUezH5ZPo2D/ALRNdtRWdSlCorSRUZyjsee6Tq15YKzaXNLf2cLbZtNu2IngPojN8wP+y/B7ECuz0rWbLWrYzWcu4odssTgrJE3911PKn/I4qtrHh201Z1uVZ7XUIxiO7hwHA/ut2df9k5Hpg81yF1b3dnq0SXjLp+sAbbXULcHyroddhB6+8bHPdTxkc/NUofF70e/Vf5mlo1NtGej0VhaH4iGoSmwv4ltdURdzRA5SVR/HGf4l9R1Xv2J3a64yUldbGTTTswooopiCiiigAooooA4bxBpUOmXsrPGG0bVHMdxGfuwztwG9lc8H0fB/iNa/hfVJpFl0i/kL39moKyt1uITwsn1/hb3GehFbd7Z2+oWU1ndRiSCZCkiHuDXnrJf6fdmMEzaxozb4mY4N5bt2P+8oIPYOmewrjqfuantF8L3/AMzaPvx5eq2PSaKr2F9b6lYQXtq++CdA6HGDg+o7H2pXvbWO8js3uYVupVLJCXAdgOpA6muzcxsT0UUUAFFFFABRRRQBn3+nveajpVyrqq2Vw8rAjlgYnTA/FwfwrQrF1mR01vw6quwV7yQMAeGH2eU8/iBW1QAUUUUAFFFFABRRRQAVWv7C11Oyks72BZoJB8yN+hB7EdQRyKs0UAeeatpcmmSRWWpTSyWbSD7DqYOJYJf4VduzejdG6Hn73RaBr0txMdK1XYmpxruV1GEukH8aeh/vL2PsQa3Lq1gvbWW1uokmglUo8bjIYHsa4DUtKk066i0u6uJfJd9+lahnMkUgGdhY9XAzgn765Bzg545ReHfPD4eq7eaN0/aLle56JRWL4d1ttUgkt7xFi1O1wtzEv3Wz92RP9hsHHoQR1FbVdcZKSujFpp2YUUUUxBRRRQAVzfi6xcW0WtWyFrnT8s6qOZYD/rE9yAAw91A7mukoqZRU4uL2Y02ndHG+Gb1LHVn04OGsdQDXdkwPyh+siD658wfV/SuZ+JlpcXHiq3uLNnWey077UzRHDhFk5IPbGSfwrQvNOm0+5u9JtcJPZSLf6UTwNmSQn0DboyP7jD1rsNOh0vWvI8QxwEzXVmICXJyIyclCvTIbIPvmpwNZ024y3jp/kdHMoS9otmUvCt/rlxGsWpxw3Ns0Cy2+pQtgTKcYDJ2bBye1dLXIeDXfSrzUvC07Emxk820LHlrdzkfXBOD9a0/GGonSvCOp3iM6ypCREUYg+YeEwR/tEVvW0k7IzqL37G5RVLR7ae00e0gup5J7lYl82WRslnx8x/PNFS1Z2MU7q5dooopDKN7ew21/psEkO97qdo424/dkRu5P5KR+NXqz7/T3vNR0q5V1VbK4eVgRywMTpgfi4P4VoUAFFFFABRRRQAUUUUAFFFFABVTU9NttX0+Wyu0LRSDqpwykchlPZgcEHsRVusi81+Gw8QWWlXMLot4jGG4JGxpAfufXHP5U1Fy0Q0m9jjmGoWV+eja7pXKt9wXtu39GAx/suueg577TdQt9V06C+tH3QTLuXIwR6gjsQcgjsQayvFGky3ltHqFgmdSssvEvTzkP34j/ALwAx6MFPasTw7qcVlqsLQvnS9Z+ePPAiuMZ/DeAcj+8vq1cUP3FT2f2Xt5Psay/eR5uqO6ooorsMQooooAKKKKAOZ8ZW/lWdtrSD59OfdKR3t24kH0Aw/8AwCofC0/2PVb/AEhj+6kzfWv0Y4lUfRyG/wC2tdTLFHPC8UqB43UqynoQeCK81t5X0YWs0rEy6FeG1uGJ5a3OF3H/ALZtHIfda5av7urGp30f6G0Peg4/M3vFn/En13RvEi8RxSfY7s/9MpOhPsrc/jWp4j0KbX4bKBbxIIYLqO4lRoTJ5uw5C/eGBn69Kt67piazoV7pzgYniZQT2b+E/gcH8KoeDNTfVfCljNMT9ojTyJgeodDtOfc4z+Ndz1gn2/4dEv3oX7aff/TN+iiiszMKKKKAMXWZHTW/Dqq7BXvJAwB4YfZ5Tz+IFbVZuq6rZ6Xcaf8AbPLRZ5mRZpGCrERG7ZJPThSPxqvba/8A2pdxppNq91aZ/e3zExwgf7BI/eH/AHfl/wBrtQBtUUUUAFFFFABRRRQAUUUUAFZHibRE1/RJrPOycfvLeXoY5RyrA9vT6E1r0U03F3Q02ndGH4U1ttc0RJZ12X0DGC7jPBSVeDx79fxrm9Z0lbXVLrS9zRWmo7rqzkXrBOCGcL6ENiQe5b0q/eL/AMI749tbxPlsdbH2ecdluFHyN9SOPzrV8WafLe6I0tqm+8snF1bqOrMucqP95Sy/8CqMXRU4e76r1NrqE1JbMn8O6q+r6NFcTKqXSFobmNeiyodrY9iRkexFatcT4cv4oPEA8pwbLWoBPC3bzkUZ/Fo8H/tka7aoo1PaU1IznHlk0FFFFakBRRRQAVxXiGyjTxM0cq5ttXsmikHYvHwfxZH/ACjrta5zxrHt0eDUAPmsLqOcn0QnY/8A447H8KxxEOek4l05csky14UvZL7w1ZtcNuuYQbecnqZIyUY/iVz9DWV4d/4lfjPX9H6RTldRgHs/D/8Aj2Kk8LSfZ9Z1mwP3XaO9j/4GuxgPxiz/AMDrUuNEE3iey1tLgxvbwPBJHsz5qtyOc8YOT3rXD1FOnd9UVpFyizWooopmQUUUUAYviDw7a+I20+K+ihntLedpZYZVyHBjdBj0ILA59qwrPwLa6Rfx29raM+nSZCzW87W89qQCRlkKmRD0ycsD13A5G7rMjprfh1Vdgr3kgYA8MPs8p5/ECtqgDBOn65pvzafqYv4h/wAu2ogBvosqDI/4ErfWrWm65Bf3DWc0UtnqCLue0uMB8f3lIJDr7qT74PFalUdU0m01e3EVyjB0O6GaM7ZIX/vI3UH/APUcigC9RWLpepXUV5/Y+r7ftyqXhuFXCXcY6sB2YZG5e2cjg8Vtaurq38XeHIYrqVLe4knWWEY2vtjJGeM9fegDo6K5HxXZ6lFAdQstWvI7/wC0RpaW0T4ifLAbGTHzZG4knp7AVTutUv7uz8W6jFdSwyaRI0doiOQgMcYcll6NuJI5zx0xSvpf+un+Y7a2O6orjdH0nUbrWLXXWaFYZ2+1GYXEhleN4/lgMeNoVSQQd38PTJJrsqpq25Kd9gooopDMTxbpDa14buraLIuUHnW7Dqsi8rj69Pxqfw5qw1zw9Y6kMBpowXA7OOGH5g1fubmCztpLi5lSGGMbnkdsBR7muN8M31voD+JbC4kC2thObyMjkeTIu8BfXGPzNaxTlBrt/X+RrFOUGu39f5GTextpA1GKNTu0a+F9Aqjkwk+YVHttaSMfSvS0dZI1dGDIwBUjoRXF6vJBca3pOpwqTbapZNC29cbtuJI8g/7LS1r+C5WfwtawOcvZtJZnPXETlFJ+qqp/GuCiuSrOn8/v3HU1in8jfooorqMQooooAKq6nZJqWk3lhJ9y5geFs+jKR/WrVFAHnvhy9Z9W8O30mQ97ZyWsoP8Az0KrJz7jynH4mvQq8z/48XIHH2DXx/wFJJ/6JN+VemVy4TSDh2bRrW1afdBRRRXUZBRRRQBRvb2G2v8ATYJId73U7Rxtx+7IjdyfyUj8avVn3+nveajpVyrqq2Vw8rAjlgYnTA/FwfwrQoAKKKKAM3WtLOqWIWKTybyBxNaz4z5Uo6H3ByQR3BIrKht5vEtxomtrOlq+nvKJrV4S7CUgxum7cMYIPODnrXT1g2g/s/xhe2o4h1CAXiD/AKaIRHL+hhP1zQAy/wBH1+41dry01yygiC7YopdOMpjHfDeaBk+uKiufCjyR6rbQ3uy21YL9rDR5fO0I5U5ABZQO3B59q6aigL9RkMSW8EcMShY41Cqo7ADAp9FFABRRRQBFdWsF7ay21zEssEqlXRhkMDXjWpeG9Q07xta6B50kmm6gqQxux5NurhyhPquCPpivaqTAznHI71rSqunc1pVXTuc34yiWLSLK7RQBY3sDgAdFY+U35LIfyqPwk/k6prtl/wBNo7tfYSIF/wDQomP41d8ZoX8F6yQMtHaSSge6DcP5VmaDIqeMrkA/8fOnRsPfy5G/+O1wT0xEX3TQLWmzr6KKK6jIKKKKACiiigDzXxOjRTeL1T75gS7Qf7XkgD9YhXpCOskaupyrAEH2riPEEQfxTqURHE+kxAj1w8w/9mFdP4dmNx4Y0mcnJks4XJ+qA1y0dKtRea/I1n8EWaVFFFdRkFFR3Eiw20srvsRELM390Ada8/0LxZq17b6BKLy3vrjUbhhcWiIu6C3+YiQlfukALnPBzgYoWrsD2uXfF3jTRdC8UaDZ3uo+RIs7SzqAxCxtFIilsdtxX+dduCCAQcg9CK4Txb8KtG8X69Fq11c3UEoVUmSEjEoHTqOD2zXT6Xa6hpySW93dx3dpEg8iXy9swA/hcL8rcY5AH070AalFVrDULPU7VbmxuI54ScbkOcEdQfQjuDyKs0AFYesfuvEXh2cdXuJrYn2aB3x+cQrcrD1r95r/AIchHVbyWc/7q28q/wA5FoA3KKKKACiiigAooooAKKKKAKOtoJdB1GNhkNayqR9VNch4act4j0RyeZNGnyfX5rY/411+suI9D1Bz0W2kJ/BTXH+GlK+IdDQ9U0afP/fVuP8AGuWt/Gp/P8jWHwS+R31FFFdRkFFFFABRRRQBx+tgf8JpF/t6cQfwk/8ArmtTwYSfA+gZ6/2dbj/yGtZmtnPjSD205v1kH+Fafgv/AJEbQPfToD/5DWuWl/HqfI1n/Dj8zcooorqMjG8VWGoar4avtP0xoEubqMxB5nKqqngnIUnOM9q0NPtEsdPt7WONI1ijVNqnIGAB1wM9Ks0UAFFFFAGbLodm+qJqUQe2vAR5kkDbPOUfwyDo4+oyOxFRXuvR6XetHqVtLbWZx5d996HpyHI5j57t8vvnitekIDKVYAgjBB70ACsrorowZWGQQcgisOM/bvGs0g5i0y0EOe3mykMw+oRIz9Hq5e2t9FaQrosltbmDgW8sX7p1xjb8vKexGcehql4UjuIdOmjvrWaHUGneW6Z1G2SRjnKMCQVAwo7gKAQDQBvUUUUAFFFFABRRRQAUUUUAYvi+QxeDNaYfeNlKi/7xQgfqRWPoUQ/4TEheltpgQ/8AA5Bj/wBFGr/jV86FFaD713eQQj3HmB2/8dRqg8Kp5ut67d54VoLQf8AQyH/0dXLPXEQXZNmsdKbZ1VFFFdRkFFFFABRRRQBw+vy7PFeoSZ/1GkxN+bzH/wBkrpPDcP2fwtpEBGDHZQp+SAVxfieZmuvFsycvHax2if73lFwPzmFeiQRLBBHCv3Y1Cj6AYrlo61aj9PyNZ/BFElFFFdRkFFFFABRRRQAUUUUAFR3FvFdW0tvOgeKVSjqe4PBFSUUAY9jpuoaZdpFDfm60w5zHdktNDxxtk6uM9myf9rtV621KzvLi4t4LhHnt22zRZwyH3B5wex6HtVqs7U9EstVMckyNHcxf6m6hbZLF/usOceoOQe4NAGjRWbqOpyaV5TyWVzcWmD5txAN7RH1ZByR15UHHpjmrdneW2oWqXVncRzwOMrJGwZT+IoAnooooAKKKKAOT8TS/aPEek2YPy2yS3j+xx5afmHk/75q34KjJ8OJeEYa/mku/qrsdn/jgSuW1W5lv59ZvLdsTXk6aVZt6BWMefoJHlb6CvRbW2is7SG1gXbFCixovooGAPyFctL36059tP8zaekFH5ktFFFdRiFFFFABRRUF5dR2NjcXcpxHBG0rfRRk/yoA86nP217pl5+368kf+8iTJG3/jkTV6ZXnPhy1dr/wxaS8ywwSX03u+wIf/AB6cn8K9GrlwusZT7tmtXRpdkFFFFdRkFFFFABRRRQAUUUUAFFFFABRRRQAVUuLNxaTpp0kdncSN5nmiEMC+RksvG7OMHkHHcVbooAy9Nv8AUHuGs9T08wzqu4XEB3wSgEDg9VPP3WH0LYzWpRWGNGu9OufO0a82QM+ZbG5JeI5PJQ/ejPsMr/sjrQBuVk+JNTk0nQri4gwbp8Q2ynvK52p+GSCfYGrjalZrqS6c1wi3jJ5ixMcF19Vz1xjnHTv1rkPEOpw3OtzTSv8A8S/REZnI5DXBXnHqVQ4+shHUVlWqezg5FwjzSsM8P6aja/ZWUZLWujW4kZj1eZwUTPqdvmMfdlNd5WJ4V02XT9HEl2u2+vHNzdD+67Ywn/AVCr/wGtulQp+zpqL3CpLmlcKKKK2ICiiigArnfGsufDxsQfm1CaO0x6qxzJ/5DD10Vcd4iuUn8T20LMBBpls11KT0DvlE/JVl/wC+hWVefJTlIunHmkkS+GY/tPiHVr3qlukdkns2PMf8w8Y/4DXWVg+Drd4fDVvNKpWa8Z7twRyPMYsAfcKVX8K3qKMOSmo9hTlzSbCiiitSQooooAKKKKACiiigAooooAKKKKACiiigAooqG7uorK0lup22xRKXY+woAi1DTbPVbY299bpNHncAw5Vh0ZT1UjsRyK86Ww+w6da6Jq8s+nXscySxXrgSQXkyvv3Fjw25vmKMQ3p61s+FNUnuvGWtRXFz5vn28F1GgPEI+ZSg+mBn1Oa7K4toLy3kt7mGOaCQbXjkUMrD0IPWsqtJVEr9Coz5W0c/b+KHsmWDxDAlmSdq3sRLWsh92PMZ9m49GNb139oksZvsMkS3DRnyXkGUDY4Jx1Fc3ceHL7S1Y6JKLi0Iw+m3jkrj0jkOSv8AutkdvlFZOmTvZ3DwaHK1hcx/NLomoAiPHqnUoP8AaTcnsalVZQf7xfMrlT1ialr4xksLlLDxTZ/2bcsdqXKndbTH2b+H6GukvNRs7Cwe+urhIrVACZSflweB/MVkW+tabre7SdUtPs13IvzWN4oPmD1Q/dce45HcCuD8Q3Ol+GHvdL0zWN9uylLnRruOV0AI/wCWb7TtODkc9ec1204xrP3f6/yLjBVHZKz/AK+49bBDKGUggjII70teffC/xaNW07+xrkt9rs48xsed8IIA59RkD8vevQaipBwk4szqQcJOLEJCgkkADkk15i2dcjY87vEN9tHr9lA/TMMZP1aut8ZXTLo66bCxWfU5BaqVPKoQTI3thA2D6kVS8NWq3evXV8EAttPT7FbADjecNIR9B5aj6MK4q3v1I0/m/kXD3YuXyOvAAAAGAOgooorqMQooooAKKKKACiiigAooooAKKKKACiiigAooooAKpajpq6l9mElxPEkEyzFI9uJCvIDZB4zzxjpV2igDLbQoT4lXXftVyLgW5tvKBTyymd3Py5zn3rUooo8gCqGqaNYazAsV9biTYd0cgJV429UYcqfcGr9FAHEalo+oWVsYLy3/ALf0oHP3B9qhx0OBgOR6rhvYnmjStWvbaDztMuTrmmg4aGRwLuHHUBjjeR/dfDf7R6V29Yuq+GrPUbj7ZC8llqIGBd22Axx0Djo49mB9sVg6TjrTdvLoac99JE+k6nperebPYNH564SdGTZLGf7rqQGHfr+FadefapBNZTJL4ggaCSIYh1zTiV2D/b6lB6htyep7VbuNX8Rx6Y1rFHFfNcKEg1S2KqIw3V5IyeoGSCuQTjhaFXS0qaMHBv4dSlquqNdanfavGnnLbn+z9Oiz/rZCwDEf70m1c+kea7PQ9LGj6NbWO/zHRSZZMY8yRiWdvxYk/jXL+HdNiudaiSFMadoiiOMHkPcFcfjsQ/nJ6iu4qMMnK9WW8vy6Dqu1oLoFFFFdRkFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAEAjBGRXLX/hq209jdaVqi6IHb94hVWt2J7hGICt/ukA9wa6muQ+IRe70qx0OFVaXVb2OAqxwDGp3vk4OBhcdO9TKKlo0NNrU3tDtLGx0mK1sJ1nijzulDhjI5OWZiONxJJP1rRrjfCg+0+LPEN1Mq295AYrSW1h5iVQCyuG43Ehu4GOmO9dlVdELqFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZl/oGnanqFrfXUcxubUMIXjuZI9m4YOArAciiigCfT9LstKikjs4BGJHMkjFizOx6szEksfcmrlFFABRRRQAUUUUAf//Z
The arc subtends an angle of \( 120^\circ \). Calculate the magnetic field (magnitude) at a point \( P \) due to a current \( I = 12.0\,\text{A} \) in the wire. Segment \( BC \) is an arc of a circle with radius \( 30.0\,\text{cm} \), and point \( P \) is at the center of curvature of the arc.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.29μT B: 4.19μT C: 6.28μT D: 2.09μT
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.0150146484375, -0.000614166259765625, -0.0264892578125, -0.020263671875, 0.00750732421875, 0.00579833984375, -0.0184326171875, -0.0218505859375, -0.0289306640625, -0.00014591217041015625, -0.03466796875, 0.0400390625, -0.004913330078125, 0.00081634521484375, 0.0196533203125, 0.003555...
967
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
A cylindrical shell with radius \( R_1 \), height \( H \), and charge \( Q_1 \) rotates with angular speed \( \omega_1 \). A small charged disk of radius \( R_2 \), mass \( M \), and charge \( Q_2 \) spins with angular velocity \( \omega_2 \) at an angle \( \theta \) to the axis and precesses with angular velocity \( \Omega \). The magnetic moment of the disk has magnitude \( \mu = \frac{1}{4} Q_2 \omega_2 R_2^2 \). What is the magnitude of the torque exerted on the disk?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{\mu_0 Q_1 Q_2 \omega_1 \omega_2 R_2 \sin \theta}{8 \pi H} B: \frac{\mu_0 Q_1 Q_2 \omega_1 \omega_2 R_2^2 \sin \theta}{8 \pi H} C: \frac{\mu_0 Q_1 Q_2 \omega_1 \omega_2 R_2^2 \cos \theta}{8 \pi H} D: \frac{\mu_0 Q_1 Q_2 \omega_1 \omega_2 R_2^2}{8 \pi H}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ -0.00177001953125, 0.00066375732421875, -0.0186767578125, -0.010009765625, -0.0211181640625, 0.031982421875, -0.02099609375, -0.01397705078125, -0.044677734375, -0.002197265625, -0.0244140625, 0.044189453125, -0.0125732421875, 0.00176239013671875, 0.0155029296875, -0.0103759765625, -...
968
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
Two long metal rods of length \( 0.50\text{m} \) lie parallel on a frictionless table, connected by springs of unstretched length \( l_0 \) and force constant \( k \). When current \( I \) flows, the springs stretch by \( x = 0.40\text{cm} \) at \( I = 8.05\text{A} \), and by \( x = 0.80\text{cm} \) at \( I = 13.1\text{A} \). What current is required for each spring to stretch \( 1.00\,\text{cm} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12.0A B: 16.0A C: 13.1A D: 18.2A
B
Electromagnetism
Magnetism
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.0155029296875, 0.0201416015625, -0.00396728515625, -0.027099609375, 0.004302978515625, 0.0164794921875, -0.010986328125, 0.0035247802734375, -0.0299072265625, -0.019287109375, -0.033935546875, 0.04150390625, 0.01171875, 0.018798828125, 0.01806640625, 0.01287841796875, 0.00099182128...
969
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
A cylindrical shell of radius \( R \), length \( W \), and total charge \( Q \) rotates about the \( x \)-axis with angular speed \( \omega \), and is centered at the origin \( O \). Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{\mu_0}{2\pi} \cdot \frac{Q\omega}{\sqrt{W^2 + R^2}} \hat{i} B: \frac{\mu_0}{2\pi} \cdot \frac{Q\omega}{\sqrt{W^2 + 4R^2}} \hat{i} C: \frac{\mu_0}{2\pi R} \cdot Q\omega\, \hat{k} D: \frac{\mu_0 Q \omega}{2\pi R} \hat{i}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ -0.0034027099609375, -0.011474609375, -0.0242919921875, 0.01141357421875, -0.0016021728515625, 0.016845703125, -0.02392578125, -0.01904296875, -0.03759765625, -0.004302978515625, -0.0206298828125, 0.0218505859375, -0.0010833740234375, 0.00067901611328125, 0.007232666015625, 0.010681152...
970
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
A spherical shell with total mass \( M \) and charge \( Q \) rotates about the \( z \)-axis with angular speed \( \omega \), and its gyromagnetic ratio is \( \gamma = g\left(\frac{Q}{2M}\right) \). Determine the gyromagnetic ratio \( \gamma \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{Q}{M} B: \frac{Q}{2M} C: \frac{Q}{4M} D: \frac{2Q}{3M}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.00836181640625, -0.0172119140625, -0.034423828125, -0.0052490234375, -0.01300048828125, 0.0257568359375, -0.01708984375, -0.02392578125, -0.0303955078125, -0.01385498046875, -0.0126953125, 0.028076171875, -0.0263671875, 0.00531005859375, 0.016845703125, -0.0140380859375, -0.0020751...
971
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
Two parallel wires of linear mass density \( \lambda \) are connected to a charged capacitor with initial charge \( Q_0 \), and each wire acquires an initial horizontal velocity \( v_0 \); assume the capacitor discharges instantaneously compared to the wire motion. To what height \( h \) will each wire rise as a result of the circuit connection?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{1}{g} \left( \frac{\mu_0 Q_0^2}{4 \pi \lambda RC d} \right) B: \frac{1}{2g} \left( \frac{\mu_0 Q_0^2}{4 \pi \lambda RC d} \right)^2 C: \frac{1}{2g} \left( \frac{\mu_0 Q_0^2}{2 \pi \lambda RC d} \right)^2 D: \frac{1}{2g} \left( \frac{\mu_0 Q_0^2}{4 \pi \lambda RC d^2} \right)^2
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0260009765625, 0.002166748046875, -0.021484375, 0.005584716796875, -0.005096435546875, 0.00628662109375, -0.0098876953125, -0.0031585693359375, -0.0279541015625, 0.005523681640625, -0.038330078125, 0.0142822265625, -0.0189208984375, 0.024658203125, 0.0228271484375, -0.005035400390625...
972
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACkAWwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAgkvLaG7gtZJ0S4uAxijJ+ZwuC2B3xkVPXK63/AMlC8J/9cr3/ANASuqoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiobr7QLZzaiMzgZUSZ2n2OOmfWmld2E3ZXJqKz4tZtWsZLmZjAYTtmjf70bf3cdye2OvaprCW6nhaa6hWHe2Y4v4lXtu9++B06VTpySuyI1YSaUXe5aoooqDQKKKz5L+S01DyrtVW2mIEE69A39x/Qk9D0PTr1qMXLYic1DWRoUVnyX8k2oCzslVzGwNzK33Yx/d92Pp26n0OhRKLja4RmpXt0KN7a388qta6kbVAMFPIV8n1yayYNH1pPE8V6+rFrRIdsy+So8854GB028nd15xXA+Nbi7v/AIwaPoWnalqFtFIqPerBeSIpGSx4DYHyr2x1q7omr6n/AMLhudK0e+ur7w/HH/pHmzNOkL7P4XYkg7sDGfWpjrZ+v4Fy0v8AL8T1Wiq9410lsz2aRvMpB2OcBx3APY+hquNaszp5vCzKA2wxFf3gf+5t/vZ7VahJq6M5VYxdpO3U0KKrWT3Ulv5l3GkUjEkRqc7F7AnufXFWalqzsXF8yuFFFFIYUVni/kt9RNreqqJK3+jTL91/9g+jfz7elAv5LnUfs9mqtDC2LiZvug/3F9W9ew+taezkZe2h872t1/rr6amhRRRWZqFFFFAHK63/AMlC8J/9cr3/ANASuqrldb/5KF4T/wCuV7/6AldVQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFRXVzDZ2z3E77I0GSf89TUtBAPUU1a+one2hzj6XeX9yusFEhu4yDb2zqMbRniQ/3jk9Pu/nWzYX0d9CXVWjkQ7JYn+9G3of8e9WqMAZ461pOrzqzW2xjToezleL33833CiiisjcKyNSkbU3l0m2VSCMXMzLlYlPYernt6dT2zr0YAzx1q4S5XczqQ548t9OvoYliDoUiafNzaSOfs9xjncT9x/8Aaz0Pf69dokAEk4A6mlIB6iori2gu7d7e5hjmgkG145FDKw9CDwaKk+d36hSp+zXKnp08jxTwZbad4y+JHirX9Vht7jToAUUXChkAJwp544VDz71o/B65vJdf8Qw2RlPhmOVvsiuSUQlzgIT/ALPUfSvRU8H+GI/ueHNIX/dsYx/7LWtDBFbQrDBEkUSjCoihVA9gKiOlvJWNJa383cZeXkNjbNPMTtGAAoyzE9AB3JrDOlXr3f8AbeyIX45W1IG3ZjG0t/fx/F+HSujIB6iitYVXBaf0uxhVoKq/eei29e/+X6leyvYr+3E0W4clXRhhkYdVI7EVYowB2orN2vobRTS13CiiikMxtQJ1qSTTIAPs6sBc3GM7SOdif7Xv/D9aNOY6Q8WlXAAiPFrOBgSd9rej/wDoXXrmtkADoKMA9RW3tfd5Lafr3Of2Hv8AtL+9+na39a/cFFFFYnQFZOv66nh+3tru4gZ7N51iuJlbAt1bgOw7ru2g+mc1rVDd2sF9ZzWl1EssEyGORG6MpGCKAOb1s5+IXhMj/nle/wDoCVp6ZrseravqdpbQM1vYOsL3W75Xm6ugH+z8uT6nHavKdS1bVNH1zSPDsRebWtON1ZWUj9ZI5ljEEpP+ypOf+uZr13Q9Ht9B0W1022yUhTBc9ZGPLMfckkn60AaFFFFABRRRQAUUUUAFFFFABRRRQAUUVXv7yLT9PuLyY/u4Yy7e+B0oGk27Iw/FXi238OQrEiCe+kXKRZ4Uf3m9v515rd+NfEV3LvOoPCM5CQqFA/qfxrPv7ufU7+e9uTmWZix9vQD2A4qts9q4Z1XJ6bH02GwVKlFcyuze0/xNq9zMIbjWbyNmOFYMME+nStrz9Z/6Dt7+Y/wrhzHmux0O5N9p438yxHY/v6H8qUZN9Qr0oxXNFL7kT+frP/QdvfzH+FRve6rHJHG2v3oeQ4UZHP6VoeVWdp8X2qWTUGGRISkPsgPX8Tz+VO77nOuWzbS+5D2l1pj/AMh69A+oqrJqOvWsyi41u78lzgSqQAp9GHb61seV7UyW2SaJo5FDIwwQad33Epx6pfcit5+s/wDQdvfzH+FHn6z/ANB29/Mf4U3TQ4SW0lO6W2bZk/xL1U/l/Kr3le1F33CVk7WX3Ip+frP/AEHb38x/hR5+s/8AQdvfzH+FXPK9qPK9qLvuLmj2X3Ip+frP/QdvfzH+FHn6z/0Hb38x/hVzyvajyvai77hzR7L7kU/P1n/oO3v5j/Cjz9Z/6Dt7+Y/wq55XtR5XtRd9w5o9l9yKfn6z/wBB29/Mf4UefrP/AEHb38x/hVzyvajyvai77hzR7L7kU/P1n/oO3v5j/Cjz9Z/6Dt7+Y/wq55XtR5XtRd9w5o9l9yKfn6z/ANB29/Mf4UefrP8A0Hb38x/hVzyvajyvai77hzR7L7kU/P1n/oO3v5j/AAo8/Wf+g7e/mP8ACrnle1Hle1F33Dmj2X3Ip+frP/QdvfzH+FHn6z/0Hb38x/hVzyvajyvai77hzR7L7kU/P1n/AKDt7+Y/wpr3WrxrufXr0D6j/Cr3le1VRF9ovG4zHDwPdv8A61K77jTj2X3IYZ9aP/MdvfzH+FV57rxDAu+PWbyVB95ARux7ev0rV8r2o8r2p3fcFKK6L7kZ8N7q1xCssevXrIwyDkf4U8zayRj+3b38x/hUaRfYtV8oDEN0Cyj+7IOv5jn8K0fK9qV33HLlT0S+5GHNpc1xrVvrE2oXD6jboUiuDjcinPA/76P51pw32u20olj1meRh/BOoZW9iP8Ks+V7UeV7U7vuTePZfcjptA8Rrqxa1uYxb38Y3NGDlXX+8p7j27Vu15rcRTwmO8tOLu2bzIj6+qn2I4r0GwvYtR0+3vIT+7mQOue2e1dFOfNozzcVRUPehs/wLNFFFanIFFFFABRRRQAUUUUAFcd8Rrww6DDaKcG6nAYeqr8x/ULXY1558SHL6hpkPZI5X/MqP6VnVdoM68DHmxEb/ANWOE2e1Gz2qzso2VwH0nMVtntWx4Zk8rVnhJws0Z/76X/6xNUNlTWLGDVrOQf3yv5qRTW5FT3oNHazGKGPdK6qpIXJ9ScAU5YURAiKqqBgADAFY2qT71tEzw11Hn8Of6Vf+0e9a3PNcGkmW/LHtR5Y9qqfaPej7R70XRPKyGVBBr9u4+7cxNGf95fmH6Fq0fLHtWLqM+JrCQHlbgD8CpFXJZmeJlSQox6MBnFEbN2ZVRS5U0r6F7yx7UeWPaskaqUUpKpFwOPLX+P3Ht/KpoJpVQmaTc7HOB0X2FaypOCvL/h/Q5qdaNSXLDXv5eT8/I0PLHtR5Y9qqfaPej7R71ldG/Ky35Y9qPLHtVT7R71Wku5LeUyMxeBuvrH7/AEq4R53ZbmdWXs1zS26+Xm/L+tjU8se1Hlj2rKF5Jcyjyn2wIfmcfxn0Ht71a+0e9E4cmj3ClP2l3Hbv39C35Y9qPLHtVT7R70faPeoujTlZb8se1Hlj2qhNNI8ZEcmx+oOM/n7VB/auE2FD9pzjys9T659PetYUnNXjr/X5GFStGlK09O3n5Lz8uvS+preWPajyx7VQgmkSP97JvcnJIGAPYe1SfaPes5WTsawUpRTasW/LHtR5Y9qqfaPej7R70rorlZaZVVSzEAAZJpEjjK7k27W+bI7571j3l3LBDOGYvDIpAbuhPY+1SQXUkxj8tilvGMA95D/hW3snbm6d/wBPXy/TU5/bq/JrzX26+vp5/LfQ1vLHtR5Y9qqfaPej7R71jdHRysh1uPZp/wBpX71tIsw/A8/oTWiEBAIIINZl9L5un3MZP3omH6GlsrovYWzE8mJT+go6luLcEaXlj2pq7HB2OrYODg5wawNS8R2dva3pKtOluh8/am5FOPusf6c9ear+DIP7P8K2aFQryqZ3AGOXOf5EU0tLmWt0kdT5Y9q0vBsmy1vtPJ4tbk7B6I4DD9S1YX2j3p2j65Z6NrF/LeyMkU8UOCFLfMC/p7VUJJSuRiLRoycnotfxPQKK47VPGWjXdhIlrqU0FyBuikWJuGHTPHIPQ1kab8SZ41VNStFmx1lhO1vyPB/StHXgna58/LMKEZcrl89z0iiuatfHmg3OA1xJbk9poz/MZFbdrqdjfD/RbyCb2jkBP5VopxlszohXpVPgkmWqKjnaVLeRoER5QpKK77FJ9CQDge+DXHaX43v9V8F6p4gi0VN1o8ixW63WRMqfeYMVHHXt2p3WvkbWO1oqrpt6NR0u0vhGYxcQpKEJyV3AHH61aqmrOzJTuroK89+IcZ/tbTXPRoZFH1BU/wBa9CrjfiDbbrLT7wf8sZzG3sHGP5gVlVV4M7MDLlrx+f5HCbKNlWNlGyuGx73MV9lMxtu7X/rpn8gat7KqTHF/EP7iFvz4/wAaBp3NWUpMYy+f3b7157/5NSefWNdzN9nZlJypDfkc1MJ8jIPFO5Hs9DT8+jz6zfPPrR559aLi9mT3025rUf8ATdT+QJq09ztQkKWPoO9Y0spe7gGfuZc/y/rVjzz601JJ3YTptxstCztL/vHcibqrDonsP881NFcsy/Ou1hwfQ/SqHnn1o88+taTruatL5eX/AADmp4KFKXND5+fm/Pz/AOBbS8+jz6zfPPrR559ayudPszS8+oZJWmYx8rEPvHu3sPaqfnn1o88+tXCpyO63MquGVRcrenXz8i2kht3CoCYSfu/3D/hU/n1m+efWjzz60TqOer3/ADFSwypJxjt0Xb08vy9DS8+jz6zfPPrR559ai5t7M0JLkqhKqWPYCoNhP7wv/pH9/sPbHpVbzz60eefWtYVnBWj/AF5en5nPVwcKsrz1XRdn39ez6dDQjuSyZZSrdCKd59Zvnn1o88+tZykm7rQ1hScYpN3NLz6PPrN88+tHnn1pXL9mW5XNyTG2VhHX1b/61EcrQMEGWiP3fVPb6VTMxIIzQJiABmtvbu3LbTt+vr/w2xy/UY83tL+9ffy7enl899TT8+jz6zfPPrR559axudXsy9cXAFtKfRD/ACrN1C9nsfCsstuCZ4rX5cdjt6/h1pl5OTauoPLjaPx4qYS7VCjoBii4/Z+6cteX9ongyy020mR1unjjuJg2QpY7m3H1PNdzBOvkJsUqgUBQRggdqzt6gABRgHIGOlO88+tXKdzGGHcd30saXn1Lpmgr4m1C7ia4MCwxxEsF3ZOX461keefWu2+HkBNnqF6R/rpxGvuEH+LGimlKVmYY+lF4aUZrR6fiZeo+ALTTNPnvJ9WcRxLuP7kcnsOvUniua07wxrGqBXtrJ/KPSST5F+uT1/CvaJoIbgKJokkCtuUOMgH1qStnhot9j5GeVUZSutF5f8E82tPhpdvg3l/DEPSJS5/XFb9l8PtFtSrSie5Yc/vHwM/RcV1VFXGhTXQ6KeX4eG0b+upn6nbSr4fvbbTkCzm2kWBRx8204/WuF8MiS68B2HhWzsr23uTF5OoST2zxLACT5nzMAGY5IG3PXPavSqK1S3/rY7Oit0GRRJDCkUahURQqgdgOlPoooAKoa1py6to11YkgGVCFY/wsOVP4ECr9FDV9Bxk4tSXQ8ehDMpWVCk0bFJEPVWHBFSeXXX+JvDM09y2qaYitOR+/t8483HQg9m/nXHz3kFqxS7WW2kHWOaJlYfhiuGcHF6nv0qyrK8fuBlCqWY4AGSTWfAhmL3BBHmHKg9lHT/GiXULe+bY0qxWwPzbj80nt7CrIvbEDAuI8fWoOhKUVsRmEMCCODwabDbmOJUJ3FRjOKm+22P8Az8x/nUFzd2/yyQXUZZOqFsBx6fWga5noSeVR5VJHqdjImTKEPdWB4qCa+t7lvJSZY4v45CcEj0A/rQCUuwltH5ryT4+VjtT6D/69WfKpy3lgihVuIgoGAM0v22x/5+Y/zosDcm9hnlUeVT/ttj/z8x/nR9tsf+fmP86Be92GeVR5VP8Attj/AM/Mf50fbbH/AJ+Y/wA6A97sM8qjyqf9tsf+fmP86Pttj/z8x/nQHvdhnlUeVT/ttj/z8x/nR9tsf+fmP86A97sM8qjyqf8AbbH/AJ+Y/wA6Pttj/wA/Mf50B73YZ5VHlU/7bY/8/Mf50fbbH/n5j/OgPe7DPKo8qn/bbH/n5j/Oj7bY/wDPzH+dAe92GeVR5VP+22P/AD8x/nR9tsf+fmP86A97sM8qkEOKk+22P/PzH+dNe8syvy3UYPbmiwe92E8qjyqVNQsyPmmRT9ain1S1UbIXV5D0J4Ue5NA0pdiJ4/Nu0jH3Yvnb69h/WrPlU23nsYI8G6jZ2OXYnqal+22P/PzH+dANvohnlUeVTjf2IIH2hOael1bzSrFblriZ+FjhUszfgKLCvLsV5I2ACxoXldgkaDqzHgCvXNE01dI0a1sQQTEmGYd2PLH8ya57wv4Xlt7ldT1NAs6giC3yD5Wf4ie7fyrsK6qNPl1Z4+OxCqWhF6L8wooorc88KKKKACiiigAooooAKKKKACmSwxTKFljSQDnDKDT6KAK/2Cz/AOfSD/v2KPsFn/z6Qf8AfsVYopWK5pdyv9gs/wDn0g/79ij7BZ/8+kH/AH7FWKKLBzS7lY6dYt1s7c/WJf8ACl+wWf8Az6Qf9+xViiiyDml3K/2Cz/59IP8Av2KPsFn/AM+kH/fsVYqG6ha4tniSZ4XYfLInVT1B/wDrU0lcTnJK6G/YLP8A59IP+/Yo+wWf/PpB/wB+xWb/AG3JbKbS6ty2pg7Y4oxxP6Mp7L65+7+WdCwguIYWa7n82eRt74+4n+yo9B+vWrlScVd/8OZQxPO7Rv5+Xk/PyHfYLP8A59IP+/Yo+wWf/PpB/wB+xViis7G3NLuV/sFn/wA+kH/fsUfYLP8A59IP+/YqxWXdy3OmXL3hZ5rB8ecnVoOMbl9V9R26jvVxhzOyM6lVwV3t+Rc+wWf/AD6Qf9+xR9gs/wDn0g/79j/CqMVxNq9ysltI0WnRNnzV4Nww7D/Y9T3+la1Eocuj3CnWc9Vt+ZX+wWX/AD6Qf9+x/hR9gsv+fSD/AL9j/CrFFRY05pdyv9gsv+fSD/v2P8KPsFl/z6Qf9+x/hRewSXFsyQ3DwSghkkXnBHqO49RWb/bkir9ka1P9rZ2i3H3W/wBsN/c9/wAOtaRpOa90xniPZu0nb+tvX8+hpfYLL/n0g/79j/Cj7BZf8+kH/fsf4UljBNb2+24uGnmYlnc8DJ7KOwHYVZqGknZGkZyau9Cv9gsv+fSD/v2P8KPsFl/z6Qf9+x/hViilYrml3K/2Cy/59IP+/Y/wo+wWX/PpB/37H+FUp559JunnmdpdOlbLMeTbn190/l9OhbTXGq3SXMbvDp8ZzHjhrg/3j6J6Dv16Vr7LTm6d/wBPX+tjD6z73Jrzdv19PP5b6Fz+z7I9bO3/AO/S/wCFA0+yAwLO3A/65L/hVmisrI35pdyv9gsv+fSD/v2P8KPsFl/z6Qf9+x/hViszxBb6nd6LPbaRNHBdzYjE8hP7pScM4x1YLkgcc0WDml3PJ/FNtc+KfHNodJEcMFpJPBYMigLNcQp5jk+q7gqfga9U8N39jrOiWmqWdvHD56ZdAoBjccMh9wQR+FYF1pdrovifwPptlHst7cXaIO/+p6n1JOST6mtfTtEudJ8UX1zZtGNJ1BfPmgJIaO5yAWUYxhx191z3p2E5M36KKKBBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABUN1LJBbPJFA08gHyxqQCx+p6CpqKa0YmrqyMYaH58bXF3MTqTEMtxHx5JHRUH90Z5HfnNX7CW6khZbyEJNG20sv3ZP8AaX2PoelWqKuVRyVn/wAMZQoxg7x+fn6+fmFFFFZmwVl3dvcandNbSK0Onx48zn5rg9dox0X17npWpRVRlyu6IqQU1Z7fmZUdrNpV2os4zJYTPh4F6wMf4l/2fUduo9K1aKKJTctXuEKahotvyCiiipLK95NNBbM1vAZ5iQqJnAye5PYDvWd/YO6P7Q9w39qZ3/awPun+6B/c7bf681s0VpGo4q0TKdGNR3lr/W/r59OhWsZria3zdQeTOpKsAcqSO6n0PvVmiiobu7mkU0rN3CiiikMyprafVLto7lDHp8Tf6onm4Yd2/wBj279+KW3tp9Lu1ggQy6fKflXPNufb1T27fTpqUVr7V25enb9fX+tjD2Eb81/e7/p6eXz31CiiisjcKKKKAOV1/wD5Hzwh/v3f/omuqrldf/5Hzwh/v3f/AKJrqqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDldf/wCR88If793/AOia6qqN3pNteapp+oyl/PsDIYdpwPnXacjvxV6gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//2Q==
Blood contains positive and negative ions and thus behaves as a conductor. A blood vessel can be modeled as a wire, with blood represented as parallel conducting slabs of thickness \( d \) moving with speed \( v \) through a magnetic field \( \vec{B} \) directed into the page. If you expect that the blood will be flowing at 15\,\text{cm/s} for a vessel 5.0\,\text{mm} in diameter, what strength of magnetic field will you need to produce a potential difference of 1.0\,\text{mV}?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 13.2T B: 1.32T C: 0.013T D: 0.00013T
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.033203125, 0.00958251953125, -0.01495361328125, 0.005401611328125, -0.0269775390625, 0.001556396484375, -0.00677490234375, -0.0037994384765625, -0.0203857421875, 0.017578125, -0.0264892578125, 0.023193359375, -0.013671875, -0.002349853515625, -0.00799560546875, 0.0031585693359375, ...
973
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
A rectangular circuit with a 12.5\,\Omega\ resistor moves at a constant speed of 3.0\,\text{m/s} perpendicular to a 1.25\,\text{T} magnetic field that is wider than the 50.0\,\text{cm} width of the loop. Find the magnitude of the current induced in the circuit as it is going into the magnetic field.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.0225A, B: 0.225A, C: 0A, D: 0.094A,
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.015869140625, 0.0126953125, -0.02783203125, -0.01324462890625, -0.0093994140625, 0.00147247314453125, -0.020263671875, -0.01123046875, -0.03173828125, 0.0208740234375, -0.037109375, 0.0201416015625, -0.0008392333984375, 0.0118408203125, 0.01251220703125, -0.0147705078125, -0.023559...
974
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
A capacitor with \( C = 20.0\mu\text{F} \) is initially charged to \( 100\text{V} \) and then discharges through a resistor \( R_0 = 10.0\Omega \) when the switch is closed at \( t = 0 \); a nearby rectangular loop with dimensions \( a = 10.0\text{cm} \), \( b = 20.0\text{cm} \), placed \( c = 5.0\text{cm} \) from the wire, and having 25 turns of wire with resistance \( 1.0\Omega/\text{m} \), is affected by the magnetic field from the discharging current. Find the current in the small circuit 200\,\mu\text{s} after \( S \) is closed.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.89A B: 1.33A C: 1.00A D: 2.50A
B
Electromagnetism
Electric Circuits
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.0196533203125, 0.0064697265625, -0.002166748046875, -0.023193359375, -0.0194091796875, 0.01312255859375, -0.0036163330078125, 0.0164794921875, -0.037109375, -0.00982666015625, -0.0291748046875, 0.02001953125, 0.002410888671875, 0.01226806640625, 0.0296630859375, -0.00121307373046875,...
975
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
A cylindrical wire of radius \( R \) carries a uniformly distributed current \( I_0 \); calculate the magnetic flux through a rectangle of dimensions \( R \times W \) lying along the axis of the wire. Calculate the magnetic flux through a rectangle that has one side of length \( W \) running down the center of the wire and another side of length \( R \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{{\mu_0 I_0 W}}{{2\pi R}} B: \frac{{\mu_0 I W}}{{4\pi}} C: \frac{{\mu_0 I_0 R W}}{{2\pi}} D: \frac{{\mu_0 I_0 W}}{{2\pi}}
B
Electromagnetism
Magnetism
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.00970458984375, -0.0004177093505859375, -0.01556396484375, -0.0213623046875, -0.001190185546875, -0.00421142578125, 0.00604248046875, -0.0177001953125, -0.04443359375, 0.00592041015625, -0.020751953125, 0.011474609375, -0.00165557861328125, 0.0026092529296875, 0.01470947265625, 0.005...
976
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
A bar of length \( L = 0.36\,\text{m} \) and resistance \( 5.0\,\Omega \) slides on frictionless rails in a uniform magnetic field \( B = 2.4\,\text{T} \); with \( \mathcal{E} = 12\,\text{V} \), mass \( 0.90\,\text{kg} \), and switch closed at \( t = 0 \), find the bar's subsequent motion. What is the bar's terminal speed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 12m/s B: 14m/s C: 2.4m/s D: 8.64m/s
B
Electromagnetism
Electromagnetic Induction
['Multi-Formula Reasoning', 'Predictive Reasoning']
[ 0.056396484375, 0.010009765625, -0.031005859375, 0.0032196044921875, 0.0023040771484375, -0.00830078125, -0.006439208984375, 0.000766754150390625, -0.036376953125, 0.0087890625, -0.037109375, 0.0252685546875, -0.000705718994140625, 0.005767822265625, 0.046630859375, 0.032958984375, -...
977
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
A rectangular loop with width \( L \) and negligible resistance contains a slidewire of resistance \( R \) and mass \( m \); it moves in a uniform magnetic field \( \vec{B} \) directed into the page with initial speed \( v_0 \), then is released to move freely. Show that the distance \( x \) that the wire moves before coming to rest is \( x = \frac{mv_0 R}{L^2 B^2} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{mv_0}{RB^2 L^2} B: \frac{mv_0 R}{B^2 L^2} C: \frac{mv_0 R}{B^2 L} D: \frac{mv_0 R}{B L^2}
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0272216796875, -0.006072998046875, -0.00958251953125, -0.001434326171875, -0.0027923583984375, 0.0057373046875, -0.00982666015625, -0.01318359375, -0.0247802734375, -0.01171875, -0.020751953125, 0.026123046875, -0.006195068359375, 0.00701904296875, 0.0196533203125, -0.0172119140625, ...
978
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
A circular coil with \( N_1 = 5000 \) turns and radius \( a = 40.0\ \text{cm} \) is connected to a \( 10.00\ \mu\text{F} \) capacitor charged to \( +100\ \mu\text{C} \); a second coil with \( N_2 = 100 \) turns and radius \( b = 4.00\ \text{cm} \) is concentric and parallel to the first, and the switch is closed at \( t = 0 \). What is the magnitude of the current in the smaller coil at \( t = 1.26\ \text{ms} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 182mA B: 365mA C: 500mA D: 730mA
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.017822265625, -0.00726318359375, -0.0196533203125, -0.01202392578125, -0.01611328125, 0.0159912109375, -0.0020904541015625, -0.003509521484375, -0.0189208984375, -0.0076904296875, -0.025634765625, 0.032958984375, 0.0076904296875, 0.00555419921875, 0.012939453125, 0.0145263671875, -...
979
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
A bar with mass \( M = 1.20\ \text{kg} \) and resistance \( R = 0.500\ \Omega \) slides on a U-shaped rail of width \( W = 40.0\ \text{cm} \), connected to a spring with \( k = 90.0\ \text{N/m} \); it is released from rest at \( x = 10.0\ \text{cm} \) in a \( 1.00\ \text{T} \) magnetic field directed into the page. What is the amplitude of the motion at time \( t = 5.00\ \text{s} \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 10.0cm B: 5.13cm C: 0cm D: 1.2cm
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.01708984375, 0.00396728515625, -0.00592041015625, -0.007568359375, 0.00726318359375, 0.0179443359375, -0.01446533203125, 0.005523681640625, -0.032470703125, -0.005584716796875, -0.018310546875, 0.0179443359375, -0.0177001953125, 0.01068115234375, 0.02099609375, 0.00634765625, -0.01...
980
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
A coil with 4 turns, radius \( 0.800\ \text{cm} \), and resistance \( 0.250\ \Omega \) is placed between the poles of an electromagnet whose field increases from zero at \( t = 0 \); the current \( i \) induced in the coil as a function of time \( t \) is shown. Calculate the magnetic field at the location of the coil for \( t = 6.00\ \text{s} \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 4.00T B: 3.7T C: 3.00T D: 2.25T
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0252685546875, 0.01171875, -0.01171875, 0.0091552734375, -0.01422119140625, -0.0086669921875, -0.0191650390625, -0.0036468505859375, -0.02783203125, -0.01141357421875, -0.053955078125, 0.0244140625, 0.003265380859375, -0.0147705078125, 0.020751953125, -0.0031280517578125, -0.039306...
981
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
A metal bar with length \( L \), mass \( m \), and resistance \( R \) slides down frictionless inclined rails at angle \( \phi \) in a downward magnetic field \( \vec{B} \); the rails have negligible resistance. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{R^2mg^2\tan^2\phi}{L^2B^2} B: \frac{Rm^2g^2\tan^2\phi}{L^2B^2} C: \frac{Rmg\tan\phi}{L^2B} D: \frac{mg\tan\phi}{RL^2B^2}
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0269775390625, -0.0186767578125, -0.006500244140625, -0.004669189453125, 0.007598876953125, 0.00714111328125, -0.00052642822265625, -0.018798828125, -0.0223388671875, -0.0038909912109375, -0.0277099609375, 0.03125, -0.000125885009765625, 0.0191650390625, 0.050048828125, -0.0033569335...
982
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
A conducting spherical shell rotates in a vertical magnetic field at 2\,\text{Hz}; two radial rods connect through a 10.0\,\Omega resistor to form a circuit. What is the magnitude of the current in the wire?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.473mA B: 4.73mA C: 47.3mA D: 0mA
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.0087890625, -0.00738525390625, -0.006988525390625, -0.0189208984375, -0.008544921875, 0.02099609375, -0.022216796875, -0.02099609375, -0.02587890625, -0.00701904296875, -0.0186767578125, 0.03271484375, 0.0054931640625, 0.0106201171875, 0.01312255859375, -0.0074462890625, -0.0246582...
983
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
A rectangular loop of resistance \( R \), width \( a \), and length \( b \) lies along the axis of a cylinder where the electric field increases as \( \vec{E} = \eta t^2 \hat{k} \). At time \( t = 5.00 \text{ s} \), what is the direction of the induced current as viewed from above?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{{\mu_0 \eta b^2}}{{2R}} B: \frac{{\mu_0 \varepsilon_0 \eta b^2 a^2}}{{2R}} C: \frac{{\mu_0 \varepsilon_0 \eta a^2}}{{2R}} D: \mu_0 \varepsilon_0 \eta ba
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.01031494140625, -0.003997802734375, -0.006622314453125, -0.01324462890625, -0.013671875, 0.009765625, -0.0181884765625, -0.000492095947265625, -0.045166015625, 0.0174560546875, -0.018310546875, 0.00823974609375, 0.00154876708984375, -0.0008544921875, 0.01513671875, 0.0009346008300781...
984
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
An inductor of inductance \( L = 0.300\,\text{H} \) is connected in a circuit with \( R_1 = 12.0\,\Omega \), \( R_2 = 16.0\,\Omega \), and a \( 96.0\,\text{V} \) battery; the switch \( S \) is closed at \( t = 0 \). When \( i_3 \) has half of its final value, what are \( i_2 \)?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 5.00A B: 11.0A C: 3.00A D: 6.00A
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.036865234375, -0.0029144287109375, -0.0228271484375, -0.0206298828125, -0.01324462890625, 0.019775390625, -0.008056640625, 0.01422119140625, -0.045166015625, -0.0101318359375, -0.04931640625, 0.010498046875, 0.015380859375, -0.00018596649169921875, 0.020751953125, 0.0281982421875, ...
985
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
An inductor of inductance \( L = 0.200\,\text{H} \) is connected in a circuit with \( R_1 = 8.00\,\Omega \), \( R_2 = 6.00\,\Omega \), and a \( 48.0\,\text{V} \) battery; the switch \( S \) is closed at \( t = 0 \). When \( i_3 \) has half of its final value, what is \( i_1 \)?sPlease directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3.00A B: 4.71A C: 6.00A D: 4.00A
B
Electromagnetism
Electric Circuits
['Multi-Formula Reasoning', 'Numerical Reasoning']
[ 0.0130615234375, -0.00482177734375, 0.00016021728515625, -0.0289306640625, 0.0078125, 0.0174560546875, -0.0179443359375, -0.00124359130859375, -0.033203125, -0.021484375, -0.040283203125, 0.032470703125, -0.000606536865234375, -0.0086669921875, 0.0242919921875, 0.009765625, -0.033447...
986
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
In the circuit, the switch \( S \) has been open for a long time and is suddenly closed. The battery and inductors have negligible resistance. The voltmeter reads a value 0.115\,\text{ms} after \( S \) is closed. What does the voltmeter read 0.115 ms after \( S \) is closed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0V B: 9.0V C: 20.0V D: 11.0V
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.040283203125, 0.005401611328125, -0.0115966796875, -0.031005859375, -0.00921630859375, 0.024169921875, -0.01470947265625, 0.0184326171875, -0.031494140625, 0.0020294189453125, -0.0194091796875, 0.0211181640625, 0.01171875, 0.00860595703125, 0.0211181640625, 0.00311279296875, -0.021...
987
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACfAekDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD35VVF2qoUegGKUgEYPIoooARUVF2qoUegGKWiigAooooAKKKKACiiigAooqhrWr2mg6PdapfSbLa2Qu57n0A9ycAe5oAreI/E+leFdO+26rciNCcRxqNzyt6Kvc/oO9cQdU8eeLQJLXyfDOmPyrOnm3Tr64PC/ofrUfhjSLvxBqC+MfEil7yYZsLRuUtIv4cD+8Rzn8evTt6iUuxEp9EcUfh59pO/UvFPiG7mP8X2zao+gwcUo8D6pp+W0TxnrVqw5CXMgnjz/unArtKKjmZPMzkIfHWv+Fpo4fGlhFJYsdo1awUlFPbzE6j8APYGvRbS7t760iurSZJreVQ8ckbZVge4NY0sUc8TxTRrJG4KsjjIYHsRXD2Mr/DPxLBbea58J6pKUUOcixnPTn+4f8T25uMr7lxlc9XoooqygooooAKKKKACiiigAorndd8d+GfDm5dR1aBJl/5YRnzJM/7q5I/HFcRbfHPT9Q8TWGm2mmSpZXE6xPdXDhWXdwCFGeMkck9KAPWaKKKACiiigAooooAKKKKACiiigAooooAKKKydZ8T6H4ej36tqlta8ZCO/zn6KPmP4CgDWoryDW/j5pVs5j0bTZ7wg4Ms7eUn1A5J/HFes2d1DfWUF5btvhnjWWNvVWGQfyNAE1FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFed+O/G/iDQfFOmaHoOm2l7PfQl1SbO4tk8A7gOg70AeiUV5X/AMJN8XP+hO07/v4P/jtH/CTfFz/oTtO/7+D/AOO0AeqV5x8R2Os+IvDfhTP+jXMzXl2P70cYyFPsTuH1xVL/AISb4uf9Cdp3/fwf/HazNCvfEGpfFsy+KNOhsL6PRyIoYmyuzzRhvvNyct37UnsD0R6X0GBRRRWJgYnijxLbeFtLS+uULhpkjCA88nk/gMn8K2Y5EljWSNgyOAysOhBri9Xns9Y1nUba8tb2e0gt2s0NvaSSr5jjMjZUEZA2j86X4aatJdaBJpN3vF7pUht3WRSrFP4CQeRxxz6U0rr+v6/4cclZHa1k+JtGj8QeG77THAzNEdhP8LjlT+YFa1FIRS+HOty6/wCBNMvLg5uVQwTE9SyErk+5AB/Guprwnwjq/jnTotYtvC+gWmoacuq3H7yZwCrZGVHzrxjB6d66L/hJvi5/0J2nf9/B/wDHa3Nz1SivK/8AhJvi5/0J2nf9/B/8dpH8TfFzY2PB+ng46hwSP/ItAHd6j4u8O6Teiz1DWbK2uTj93JMAVz6+n41Hq/jXw3oUIl1DWLWPcoZUV97sD0IVckj3xXyHczT3N1LNcu8k8jlpHc5YsTyT75rs/BPww1fxrbNewzwWlgshjM0uSzEAZ2qOuM9yKB2O/wBd+P1rFui0HSnmboJ7xtq/98LyR+Irz698Z+OvG9w1pDcXswb/AJddPjKqB7heSP8AeJr2DQvgl4X0vbJfifVJxz++bZHn2Rf5EmvQbKws9Ot1t7G1gtoF6RwxhFH4CgD540L4G+JNR2yapNBpkJ6hj5sn/fKnH5sK9G074U+CfClt/aGquLkw4Zri/lCxqf8AdGB+BzXpNeEftA3N8NQ0e1JcaeYnkUDo0ucHPqQNv/fR9aAPY9I8SaLr2/8AsrU7W7Mf31ikBZR6kdce9alfHng+91ew8V6fPoUZl1HzAsUOeJc9VbkcEdea9v8A+Em+Ln/Qnad/38H/AMdoA9Uoryv/AISb4uf9Cdp3/fwf/HaP+Em+Ln/Qnad/38H/AMdoEeqUV5X/AMJN8XP+hO07/v4P/jtZmh/Ef4j+JLSS60jwzplzDFIYncMVwwAOPmkHYigD2eivK/8AhJvi5/0J2nf9/B/8do/4Sb4uf9Cdp3/fwf8Ax2gD1SsvV/EejaCEOq6nbWhk+4ssgDN7gdSK8/8A+Em+Ln/Qnad/38H/AMdrxLxle6zqHiy/m16Iw6jv2yQ54iAHCryeMdOfegZ9UXHi3w7a6cmoTa3YLaSDKSeepD/7uDkn2Fef678eNEs90ejWU+oSDpJJ+5j+vPzH8hXjvg7wTqvja+mt9NMMaQKGmmmYhUBPA4BJJwePavY9C+A+h2W2TWLy41GQdY0/cx/odx/MUAebar8UvGvief7La3Elsshwtvp0ZVj+Iy5/OptG+D3i/XpPtF7EthG53NLeufMP/ARls/XFfRelaFpWhweTpen21omMHyYwpb6nqfxrQoC55Zo3wQ8M6TH9o1i5m1FkG5zI3kwgDvgHP5tiuz0TxJ4WnePSNG1TT2aFdkdvBKvAHZR3H0zXJfHO5voPAkaWpdYJbtEuSv8AcwxAPsWA/SvnGCaa3uI5rd3jmjYNG6HDKwPBHvQB9t0V5TH4m+LnlJnwfp7HaOWcAn6jzeKd/wAJN8XP+hO07/v4P/jtAj1SivK/+Em+Ln/Qnad/38H/AMdqldfETx/o2qaXb674d06zhvrlYVYEsTlgDjEhwcHvQB7DRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5X4v8A+S5eD/8Ari3/ALPXqleV+L/+S5eD/wDri3/s9AHqlFFFABXm/jof2P4/8L+IHGLWbfp1xJ2Xdkx59skn8K9IrF8V+HbfxV4cu9JuG2eauY5B1jkHKt+f6ZoYDajnWZ4HWCRI5SMI7pvCn1IyM/nXL+DvEU92JdB1v9zr+n/u543485R0kX1BGOn16EV1lYNdDHZmX4f0qbRtKWznukupA7O0yxeWXLMWJI3HnJrLg8KXdr41ufEMGpwolygjmtRanDgYwd2/73HXH4V1FFO+txX3CqWsalDo+jXmozkCO2iaQ+5A4H4nA/GrtcFqTn4ieJY/Ddg7NodlIJdVuU+7IwPywqe/I/r25ErscVdnTfCvTJtM+H9gblSLi7L3cmepLnIP/fO2uzpFVUQIihVUYAAwAKWtjYKKKKAON1f4WeEdb1RtRutNKzu26XyZWRZD6kA9fcYrqrCwtNLsYbKxt47e2hXbHHGMBRViigCnqWq2OkW6z39wsKM4RMglnY9FVRksfYCq1n4j0u+1H+zoZpRe+WZTBLbyROEBA3EOowOa534i6bqrw6Xr2kRi5uNGnNwbQ/8ALZCMNj3A/ma1/DeqaT4qt7fxJYZMjQm3YN96PkFkb3BAojr/AF934g9P6/rodBWZrvh/S/Eunmx1a0S5gzuAJIKn1UjkH6Vp5zRQBy/hv4feG/Cly11pliRdMCvnyuXYA9hnp+FdRRRQAUUUEgAknAHUmgAryv4Df8ihqf8A2En/APRcddPeeNfMu2tND0+XUZV+8652D8hyPfgU/wABaRdaRo9xFd25gd5ywQ45G1Rnj/PFZqonKyOaOJjOpyQ18+h1VFFFaHSFcx4l+H/hzxXcJc6pY5uVAXz4nKOR6HHX8a6eigDL0Hw7pXhnTxY6RZpbQZ3Ngks7erE8k1cvr+00yykvL64jt7eMZeSQ4AqxXK/ELQr/AF7wuYtMZftttOl1FG33ZWQ52n6/zpN2Glc0ofFOkT3ttZCeaO5uc+RFNayxGQAZJG5RkYHXpWxXJ+FNf0/xra22oPC0Gp6a7JPbPw0EhUq3XnB5x/8AWrqwysSAwJBwcHpVNWJRBfWNrqVlNZXsCT20y7ZI5BkMK5TSfhX4R0bVF1G100tOjbohNKzrGexAJ/nmuzopDCiiigAryv4w/wDIT8G/9hIf+hJXqleV/GH/AJCfg3/sJD/0JKAPVKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvK/F//JcvB/8A1xb/ANnr1SvK/F//ACXLwf8A9cW/9noA9UooooAKKKKAOX8W+CbPxQIbpJ5bDVrXm2v4OHT2P95fb6+pzyh8ReJvCoEPivRJbq3Tgappo8xGHqyfw/p9K9TopNJiaT3POLb4leEbqPcusxRnusqOhH5iobr4n+F4G8u3vJb6c/dhtIGdm+nAH61391oulXsnmXemWU7n+KWBWP5kVNaWFnYKVs7SC3U9RDGEB/IVPIhciPNRZeMvHBEUlvJ4Z0R/9YzNm7mX0A/gz74/HpXoGhaFp/hzSYdN0yAQ28f4sx7sx7k+taVFUlYpKwUUUUwCiiigAooooA5mDU9astU1X7Zo95cWTThrOS3ZHO0KoKlSwI5BIPTntUHgjw9caRa6tcXkItZdUvXuvssb58hTwFyON3riutpG3FTtIDY4JGRQtPusD1OS+HY26NqKgkhdVulGSScCQgcmuurE8NaFNoFpdQS3kdyJ7qW5ysJj2l23EfebNbdHRei/IHu/V/mFFFFABXK+Or2eLTLfTrY4mv5fKz/s9x+JIFdVXH+PY5IYtM1VFLCyuQzAehIP81A/Gs6vwM5cY2qErf0uv4HRaRpNto2nx2lsgAUfO+OXbuTV6uLbxTrGtzvH4c08GBDhrmcYH4c4H6n2oe78baYvnz21rfRDl1iHzAe2MH9DSVSKWi0IjiqcVaEW4rqlodpRWToPiGz1+0MtuSkqcSQseUP9R71rVommro64TjOKlF3TCiiimUFc7PfazZeJ7lzpdxdaQbeNUeB1LLICxY7CwJBBAyPSuiooA4rQfDt3Lr3iLXLiF9MGqqkUUIYeYqqMF22kgMfrxRa+HbPTfiBbS6Fbi0hjtZP7REWQkhbHlhh3fO456469a7C5Sd7aVLaVIp2UhJHTeFPYlcjP0yK57R9B1+wni+1+Ibe5tg5eWOPT/KeVvUuZG74zx2xxQt15A9mdNRRRQAUUUUAFeV/GH/kJ+Df+wkP/AEJK9Uryv4w/8hPwb/2Eh/6ElAHqlFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeTfEn4k6WNE1DSdL1G8t9XhnWMmJJIyCrjcA4x2B7816zXOeOfDtx4p8K3Gk2s0UMsroweXO0bWB7fSl1RUbEfhnx3oXii5az0y4mluIovMcPCyccDqR6muS8X/APJcvB//AFxb/wBnr1KNSkSKeqgCvLfF/wDyXLwf/wBcW/8AZ6pkR2PVKKKKQwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5Hx7NLJaWGlRNtN9cBCfYEcfmQfwrrq5Hx7byLYWeqQgF7CcOc+hI/qFrOt8DOXG39hK39Lr+BWTQvEXhqRhoU8d5Zsc/Z5yAQf0H5EfSnSt401lfszQQaZC3Dyq3zY745J/LH1qODU/Enitnk0to9OsFbb5jcsx/I8/TH1qWTSfF2mIbi11lLzaMtFMPvfTP+IrHT7N7HElFr92p8nlt8r62N/QdAtNAs/JtxukbmWVhy5/oPatWsDwv4lj8Q2rkxGK5hx5qjleehB/pW/XRBxcVy7HpUHTdNOl8IUUUVRqFFFFABRRRQAUUUUARPcwRsVeaNWHUFgDSfa7b/n4i/77Fcf4h1/R9O1qa3vdTtLeYBSY5ZlVsFR2JrL/AOEu8Of9BzT/APwIX/GvLqY6rGbiobPzO2GGg4puR6J9rtv+fiL/AL7FeW/F+eGTU/B5SVG26kCcMDjlKvf8Jd4c/wCg5p//AIEL/jXD/EHXNKv73w81pqVrOsN5vlMcqtsXK8nHQcVVLG1ZzUXCwp4eEY3Uj3z7Xbf8/EX/AH2KPtdt/wA/EX/fYrzv/hLvDn/Qc0//AMCF/wAaP+Eu8Of9BzT/APwIX/Gsv7QrfyfmX9Vp/wAx6J9rtv8An4i/77FTV5r/AMJd4c/6Dmn/APgQv+NekRuksayRsGRgGVgcgg9DXZhcROtfnjaxz16UaduV3HUVTv8AV9M0vZ/aGo2ln5mdn2idY92OuMkZqSyv7TUbf7RZXMNzASQJIXDqSOuCODXWYFiioLu9tbCDzry4igiyF3yOFGT0HPf2otL21v4fOtLiKePJXdGwYAjqOO/tQBPRRRQAUVVvtSsNMjWS/vba0RjgNPKsYJ+pNUP+Eu8Nf9DDpP8A4Gx//FUAbNFRwzxXMCTwSpLFIoZJEYMrA9CCOoqSgArP13VU0PQb7VJI2lW1haUovVsDpWhXM+J9ZaHUNL8PWzRpdaszp5kihhHEq5c4PBJHAB4559KTu9FuNW3exlf2ZqHi/wAJxanZeJbuHULmESRG0uPKgiY87SFGSB0OcnjtXaWcUsFjbwzzmeaONVklIwXYDlse/WsHTPD/AIY8FlGs7WO1munEIf5meVjzgDn68AAY7AV0tU7dCdepzureD7LWNQe8mubqN3ABWNgBwMdxVL/hXem/8/t9/wB9r/8AE119ZviC+m03Qrq8t9vmxKCu4ZHUD+tdVLE4htU4y8kcFfA4RKVWpC+7Zhf8K703/n9vv++1/wDiaafhzpZYMbu9JHQ7l/8Aia5v/hYGt+tt/wB+v/r0f8LA1v1tv+/X/wBevS+r5h/P/X3HifXMo/59v7v+CdN/wrvTf+f2+/77X/4mj/hXem/8/t9/32v/AMTXM/8ACwNb9bb/AL9f/XrqPBviK/1ya7S88rESqV2Ljrn/AArOtDHUoOcp6L+uxvh6mV4iqqUKer8v+CN/4V3pv/P7ff8Afa//ABNdaihEVB0UAc06ivLq16lW3O72PcoYWjQv7KNrhRRRWR0BRRRQAUUUUAFFFFAGFrNvrepXX2PTdQOl26Rh5LsQLI7sScKobgAAZJ9xisjwXq+tNrOt+HdcuEvLjTGjMd4kYTzUcZG4DgGuo1HUEsIVOxpZ5DshgT70jeg/mT0A5qhoelx6Q873MySapqMhnuHH8RAxtUf3VGAP/r0LcHsV/GniCbw/o8JtFRr+9uY7S1DjKh3ONxHcAZNUdW1O+8J6norXOoS3thf3As7gzqgMcjD5XUqBgZBBHT0qj8S13w+GtSRg9taaxC8rKcgKTjP58fjTvihE17beHdPhGZ7jWISgHXCglj+Aoj09bfLT/MH+l/z/AMjvGZUUszBVAySTgCs99f0aMQl9WsFE7FIiblB5jA4IXnk544q7PGktvJHIiujKQVYZB/CvGtN0+zP7P+ozm1hM22ZvMKDdlZTjn2pN2u+w0r283Y9d/tfTf7R/s7+0LT7djP2bzl8zH+7nNcb4h1TWrT4laBo1rrE8NjqKSPLGIYWK7AThSUJ5x3zWd4jtoLTRfAlzbwxxznUrTMiqAx3L82T1Oe/rTvGlsLz4t+ELczTQ74bj95A+xx8p6HtVWtJLza/C5N/db8r/AImp8T9X1fw/4ft9Q0nUpLaU3McDL5UbqwbOT8yk5+hxXZ2sbxW0aSzyTuBzJIFDN9doA/IV5b8V9EXT/ClvMNR1K4/0+FdlzcmRep5we9err9wfSktn6/ohvden6i1x/jx3nGk6WGKpeXIDEexA/wDZs/hXYVyfj+2P9jwahG4WaymV1z3yQOPxwfwrOt8DOXGpuhK39Lr+BDL4PvtMuXn8OambUP8AeglJKfnzn8R+NMk0DxTq48jVtXiitT99LccsPwA/U/hVPTxq/jYy3Euqiys0bb9ntz834jP6n8qtXPg+40m3e70/xBPbtGNxM7YQ/Uj+oNY2TV4p29ThUYzXNTg+T/FZP5f8MdVpelWmj2S2tnHsQcknksfUnuau1zXg7xDc69YyfaoCJYSFMyjCyf8A1/Wulrog04px2PToThOmpU9goooqjUKKKKACiiigAooooA5vWfAXhjxDqDX+q6UlzdMoUyGWReB04DAVn/8ACpvA/wD0AY/+/wDL/wDFVneLtf8AHtj4glt/D+m6fPYKi7XnI3FiMn+MfyrD/wCEq+LH/QF0f8x/8drF4iknZyX3mipVGrpM63/hU3gf/oAx/wDf+X/4qj/hU3gf/oAx/wDf+X/4quS/4Sr4sf8AQF0f8x/8drO1T4j/ABH0aS1S/wBN0iJrqTy4RtLbm444kOOo601XpSdlJfeDpTWrR33/AAqbwP8A9AGP/v8Ay/8AxVH/AAqbwP8A9AGP/v8Ay/8AxVcl/wAJV8WP+gLo/wCY/wDjtH/CVfFj/oC6P+Y/+O0vrNH+dfeP2NTszrf+FTeB/wDoAx/9/wCX/wCKrsYYkghjhiXbHGoVV9ABgV5D/wAJV8WP+gLo/wCY/wDjteuWxma1hNwqrOUUyBegbHOPxq4VIT+F3IlCUfiR5x4wttct/EF1q914S0zxBo8capHHIRJNCgyWKqwIySTnAPQV2nhe/wBK1Pw3ZXmiwRwWEiZjhjjCCPk5XaOAQc1Vh8X2k15e2Tabq0V1bOUEclk/77HQowypB9SRVDSo5/AvgPzJtPuLu4WRppLWyXewMkhO0eoXd19qtaIT1fmVbm4bUfjPaWEvNvpumNcxoenmu23d9QpojuG034zyWUXFvqmmCeRB081GIDfXaMVNqNjNp/j/AE/xStvM1ncWRs7sKhZoedyMVGTjPB9Kfp2ny6t8RbjxI0UkdjbWQs7VpEKmVi252APO0ZxnvRHp87/j/wAAT6/L9P8AgnWXdzHZ2c91KcRwxtI59gMmuefxtZReBB4sltrhLRoxIsJ2+YQW2jvjn61X+Jl7Ja+B7y3gP+k37JZQjPVpDt/lmuQ12W61bwXpehWOh6okGmtA2oiS1ZcJGQCif89Dnn5c8Cktb/L/AIP3aD7fP/gffqdZ8RpBc/C3VpmjKeZaq+xuq5KnB9xVHTPF2j6f4D0xJoLmZxZwxeU9jKEdioGC5TbjnrnFO8YX93rXw61hYNKv83Q8qzgW0kMrqNvzMoBK87sZxwK3vC0aXXgrTbS6tZk2WkcM0NzA0ZBCgEEMAaa+18v1J6R+f6GvYWUGm6fBZWylYIECRqT0UdBVmiigYVi+IPCuk+Jo4BqMLmW3bfBPDIY5Ij/ssOe1bVFAGXpnh+y0thIjXNzcBdouLyd55APQMxOB7DFalFFABTZI0lQpIiuh6qwyDTqKA3Kv9m2H/Plbf9+l/wAK8y8WQxRfGnwlbRxokEkLF4lUBW+/1HQ16vXlfi//AJLl4P8A+uLf+z1XPLuR7OHZHpX9m2H/AD5W3/fpf8Klhtbe3JMEEURPXYgXP5VLRQ5Se7GoRTukFFFFSUFFFFABRRRQAUUVzEXje1n1i+0qDS9Tlu7AA3CJGhCA9Od/OfQc0AdPRWbomu6d4i08Xumz+bDuKMCpVkYdVYHkEVpUAYOu+DNB8S3MVxq9pJcSRLtTF1KgUd8BWA/Gk0TwV4e8OzTy6XYGGSePy5GaeSQlfT52OPwrfooAx7Dwvo+naA2hwWanTm3boZGLg7jk8k561JaeH7C0vIrvE088KGOF7iZpDEp6hdx4z3PU+talFHmAyaJZ4XicsFcYOxyp/AggisOPwXoMOgSaFHaSrpkhJe3+1zYOTk87s4J7ZrfooC5h3XhDRb21sLa4t53hsGV7Zftkw8tl+6ch8kjtnNJeeDtE1DV4NVuYLl763GIZhezqYx7YfA/rW7RR5h5GPrvhbSPEsEcOrW8txFGQyxi5lRcjocKwyeeprTtrdLW3SCMyFEGB5kjSN+LMST+JqWigArjfHeZ59EsHJEFxdYk591H/ALMa7KuT+IMMZ0BLoyeXPbzK0R7knggfz/4DWdb4GcuNV6Eg1LwXZeeb3T72TSpe7RHCD8MjH4HHtVO38Kf2pKo1HxJJqMaHPlRyZ/qcflWZolrD4yuXn1rVmeZWwlmjbMD1Ge30/E1p6z4Q0DTbM3S3sunyIMpJ5m7J9h1J+lYWUlzKOnqcCjGpF1YU1y/4rfht952VpaW9jbJbWsSxQoMKqjpU1ct4H1TVNS0xzfoWjQhYrhusnqPfHrXU10wkpRTR6lCpGpTUoqyYUUUVRqFFFFABRRRQAUUUUAZF7pU9zdvKjxhWxgEnPQD0qv8A2Jc/34vzP+Fb9FcU8BRlJyfU6I4qpFJIwP7Euf78X5n/AArzf4qadNbah4UDsh8zUAowT6p7V7PXlfxh/wCQn4N/7CQ/9CSnDA0YS5ohLE1JKzO1/sS5/vxfmf8ACj+xLn+/F+Z/wrfoqf7OoeY/rdQwP7Euf78X5n/Ct+iit6GGhRvydTOpWlUtzBRRRW5kFFFFAGD4g8NL4gv9Gnlumjh027F0YQmfNYD5RnPGD9a3qKKACiiigAooooAKKKKACiiigAooooAK8r8X/wDJcvB//XFv/Z69Uryvxf8A8ly8H/8AXFv/AGegD1SiiigAooooAKKKKACiiigBskiwxPI5CoilmJ7AV4r4Z8TahpMFzr39nQv/AMJNqrRwXc05VIsEqgdQpOOvQ/lXqfiqy1TUvDl7YaQbZbq5iaISXEjIqBhgn5VYk4rn5/A8958LYvC8v2aG8ghUQyxyMyCVTkPnaCMnOeO/el1b9Pz1/IfRL+vL8zW8GeFh4U0ma3e5+03VzO1zcShdoZ264HYcV0dUdHXUU0q3j1UW/wBtRAsrW8hdGIH3gSoPPpir1U9yUFFFFIYUUUUAFFFFABRRRQAUUUUAFcb46AkvNCt5f+PeS6/eZ6dVH8ia7KsTxVora3ozQxEC5ibzITnHzDtn3H9KzqpuDSOfFwlOjKMdxmreD9I1eUzSwtDOeskB2k/UdD+VUrT4f6TBOJbiS4uyOiyuNv6DmjQ/GNtNELPV3FnqEXySed8qsR3yeh9jXTQXEFyhe3mjlQHG6Ngwz+FSo056pGUKeFrPnSTf9bofHGkUaxxoqIowqqMAD0FOoorY7QooooAKKKKACiiigAooooAKKKKACvK/jD/yE/Bv/YSH/oSV6pXlfxh/5Cfg3/sJD/0JKAPVKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvK/F//ACXLwf8A9cW/9nr1SvJvHN1b2Xxp8JXN3PFBAkDF5ZXCqvL9SeBQB6zRWN/wl/hn/oYtI/8AA2P/AOKo/wCEv8M/9DFpH/gbH/8AFUAbNFY3/CX+Gf8AoYtI/wDA2P8A+Ko/4S/wz/0MWkf+Bsf/AMVQBs1leI9Zj0DQbrUZMFo1xGp/ic8KPz/TNRjxd4aJwPEOkk+gvYz/AFrjtfuYvHPjDT9Bsp1n0y1/0i6kibKt7Aj2IXI7sfStKceZ67HdgMMq1W8/gjrJ+S/z2O60PVodc0W11GHAWZMsv91ujD8DmtCvO/B8j+F/F2oeFLhj9nmJuLJmPUY6fkPzU11Hi7XV8PeHLm9BHnkeXAD3kPT8uT+FEoe/aPXYrE4JrEqlR1UrOPo9v8n6FbTvF9rqHjC/0JNo+zoPLfP33H3x+GR+Rrpa8bm8M3nhrw3pXiqHedShmE90rE/cfoD/ACP++fSvW9PvodT063vrdt0M8Ydfx7H3qqsIrWOxrmWFo0uWph3ePwv/ABLf790ZHi7xNH4X0pLooJJZJVRI8/eGcsfyz+JFbdtcxXlrFcwOHhlQOjDuCMivNri0T4g+OruKRmOkaZE0IZT96Q5GR+OT9EHrWl8OtQntRfeF784u9OkPl5/ijJ7ewJz9GFOVNKHmtzSvgIQwqcf4kbOS8pbfdpf1O8JABJOAO9c34X8XW3iW61KGIBTazYi/6aRdA35g/mKqfETWn03QBY2uTfai3kRKvXB+8R+YH/Aq5W40dvhzqeh6vGWa3kQW+oYJI3Hkn6dwP9j3ohTTjru9hYPAQq4dufxzvyf9u6v79l5nrNFY7eLfDaHDeINLU+jXkY/rSf8ACX+Gf+hi0j/wNj/+KrDY8iUXF2aszZorG/4S/wAM/wDQxaR/4Gx//FUf8Jf4Z/6GLSP/AANj/wDiqBGzRWN/wl/hn/oYtI/8DY//AIqj/hL/AAz/ANDFpH/gbH/8VQBs0Vjf8Jf4Z/6GLSP/AANj/wDiqP8AhL/DP/QxaR/4Gx//ABVAGzRWN/wl/hn/AKGLSP8AwNj/APiqP+Ev8M/9DFpH/gbH/wDFUAWNR0LTNWwb2zjlYDAflW/Mc1yPwl1KHU/Dd7JAG2JeMh3DBzsTP9K6b/hL/DP/AEMWkf8AgbH/APFV5p8FNd0fTPC2oxX+q2NpI2oO6pPcJGSuxBkAnpwankXNzdTL2EPaKpbVHslFY3/CX+Gf+hi0j/wNj/8AiqP+Ev8ADP8A0MWkf+Bsf/xVUamzRWN/wl/hn/oYtI/8DY//AIqj/hL/AAz/ANDFpH/gbH/8VQBs0Vjf8Jf4Z/6GLSP/AANj/wDiqP8AhL/DP/QxaR/4Gx//ABVAGzRWN/wl/hn/AKGLSP8AwNj/APiqP+Ev8M/9DFpH/gbH/wDFUAbNFY3/AAl/hn/oYtI/8DY//iqP+Ev8M/8AQxaR/wCBsf8A8VQBs0Vjf8Jf4Z/6GLSP/A2P/wCKo/4S/wAM/wDQxaR/4Gx//FUAbNeV/GH/AJCfg3/sJD/0JK7v/hL/AAz/ANDFpH/gbH/8VXm3xS1rStV1bwgunanZ3jJqQLi3nWQqCyddpOKAPYqKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACud8ReBvD3iq6iudZsTcTRJ5aMJnTC5zjCkdzXRUUAcL/AMKd8Df9Adv/AALm/wDiqP8AhTvgb/oDt/4Fzf8AxVd1RQBwv/CnfA3/AEB2/wDAub/4qj/hTvgb/oDt/wCBc3/xVd1RQBwyfCDwRHIrppDhlOQftUvX/vqui0TwxpHh4zNplr5LTYDsXZyQOg+YnHWteind2saKrUjBwUnZ7q+jOH+I+lzGxtfEFj8t7pcgkyO6Z5+uDg/QmsX7evxG8X6bDEjDS7GIXFwrDgucEqfXnC/gxFenyxRzwvDKgeORSrKehB4IrA8I+FYfC1ncxI4kknmZy/fYCQg/AfqTW0aiUNd1sephsfCnhmpfxI3UX5S3+7W3qbl3aw3tnNa3CB4ZkKOvqCMGvI7fxHdeC9K1vw1MXN3C5Fi4HZ+p9uDuHua9irmtZ8IWur+J9M1iTA+y/wCtT/npjlPyPX1HFTSnFaS2M8txVGnzU8QrwevzWq+/b5j/AAToP/CP+Gre3kXFzL++n9d57fgMD8K5/wAcwSeH/EGm+LrRCVRxDeKv8SngH8RkfgtehVT1bTYdX0q50+4H7ueMoT6HsfqDg/hSjU9/mfUzoY6SxTr1dVK/N5p7/wDAOE0Jh408fXGukFtN00CO13DAZuxwfxb1Hy13mpaZZ6xYvZX8Amt3IJQkjkHI5HIql4X0JPDugW+nqVaRRvmdf4nPU/0HsBWxRUneXu7LYWNxKnXTou0YaR9F19W9Tirj4TeC7qQPNpLMwGB/pUowP++qi/4U74G/6A7f+Bc3/wAVXdUVDberOKc5Tk5Td2+5wv8Awp3wN/0B2/8AAub/AOKo/wCFO+Bv+gO3/gXN/wDFV3VFIk4X/hTvgb/oDt/4Fzf/ABVH/CnfA3/QHb/wLm/+KruqKAOF/wCFO+Bv+gO3/gXN/wDFUf8ACnfA3/QHb/wLm/8Aiq7qigDhf+FO+Bv+gO3/AIFzf/FUf8Kd8Df9Adv/AALm/wDiq7qigDhf+FO+Bv8AoDt/4Fzf/FUf8Kd8Df8AQHb/AMC5v/iq7qigDhf+FO+Bv+gO3/gXN/8AFUf8Kd8Df9Adv/Aub/4qu6ooA4X/AIU74G/6A7f+Bc3/AMVR/wAKd8Df9Adv/Aub/wCKruqKAOF/4U74G/6A7f8AgXN/8VR/wp3wN/0B2/8AAub/AOKruqKAOF/4U74G/wCgO3/gXN/8VR/wp3wN/wBAdv8AwLm/+KruqKAOF/4U74G/6A7f+Bc3/wAVR/wp3wN/0B2/8C5v/iq7qigDhf8AhTvgb/oDt/4Fzf8AxVH/AAp3wN/0B2/8C5v/AIqu6ooA4X/hTvgb/oDt/wCBc3/xVSW3wl8F2l1DcwaSyywusiN9qlOGByDy3rXbUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH//Z
In the circuit, switch \( S_1 \) has been closed for a long enough time so that the current reads a steady 3.50 A. Suddenly, switch \( S_2 \) is closed and \( S_1 \) is opened at the same instant. What is the maximum charge that the capacitor will receive?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.0350mC B: 0.350mC C: 0.0700mC D: 1.75mC
B
Electromagnetism
Electric Circuits
['Multi-Formula Reasoning', 'Physical Model Grounding Reasoning']
[ 0.03369140625, 0.006195068359375, -0.0189208984375, -0.026611328125, -0.0166015625, 0.01171875, -0.0123291015625, 0.004730224609375, -0.01953125, 0.004852294921875, -0.0238037109375, 0.029052734375, -0.005523681640625, 0.0159912109375, 0.00933837890625, -0.016357421875, -0.0302734375...
988
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
During a summer internship as an electronics technician, you are asked to measure the self-inductance \( L \) of a solenoid. You connect the solenoid in series with a 10.0 \( \Omega \) resistor, a battery that has negligible internal resistance, and a switch. Using an ideal voltmeter, you measure and digitally record the voltage \( v_L \) across the solenoid as a function of the time \( t \) that has elapsed since the switch is closed. Your measured values are shown in figure. What is the resistance \( R_L \) of the solenoid?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 10.0Ω B: 6.67Ω C: 3.33Ω D: 13.3Ω
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.037841796875, 0.01226806640625, -0.0255126953125, -0.000637054443359375, 0.0118408203125, 0.0201416015625, -0.026611328125, -0.0030059814453125, -0.035888671875, -0.00130462646484375, -0.0361328125, 0.0269775390625, 0.01348876953125, -0.006256103515625, -0.00007534027099609375, 0.003...
989
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
A solenoid of unknown resistance and inductance is connected in series with a \( 50.0\ \Omega \) resistor, a battery with negligible internal resistance, and a switch. Using an ideal voltmeter, the voltage \( v_R \) across the resistor is recorded as a function of time \( t \) after the switch is closed. Your measured values are shown in figure. How much energy is stored in the inductor a long time after the switch is closed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.10J B: 0.050J C: 0.25J D: 0.20J
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.0234375, -0.0037384033203125, 0.0009002685546875, -0.0126953125, -0.01385498046875, 0.01092529296875, -0.01129150390625, 0.0033416748046875, -0.02587890625, 0.019287109375, -0.0390625, 0.013671875, 0.0003147125244140625, 0.004791259765625, 0.0015411376953125, -0.00537109375, -0.023...
990
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACuAWgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACmpIkm7Y6ttO1sHOD6GnVzGmanZaUNbnvrqK3jOqOAXbBY7E4A6k+w5oA6eis3TNQu9RkklbT5LWywPJac7ZZD3Jjx8o9MnPqBWlQAUUUUAFFFFABRRRQAUUUUAFFFZN5rBsfEOn6dMi+TfpIIpO4lQbtp9iucf7vvQBrUUUUAFFFFABRRRQAUUUUAFFFZWo6tcaXdB57CSTTSo3XNvmRom774wM7enK575AHNAGm0iK6ozqGfO0E8t9KdXOXV7a6hrnhy5srmK4geSfbJE4ZT+6buK6OgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8/TwTpPiHVNZ1CZZIdRjv3ijuY2zhQqnaVOVIyT2z7iunvPFmh2M7W8moJJcJw0NurTyL9VjBI/EVlp4x8O6as8oh1KETSGaRjptzgsQATynHAFS5xTs2NJ9BNM8KWnmSW2qaJalowCl3buwjmH+4W3I3tyPQ9q0v8AhDvD/wD0DIv++m/xrH/4Wt4PKBxqE+0ttDfYpsE+g+TrSn4q+EV8zdf3A8v/AFmbKb5Pr8nFO6CzNf8A4Q7w/wD9AyL/AL6b/Gj/AIQ7w/8A9AyL/vpv8ayP+Fp+Ei4T7bc72XcF+wzZI9fudKQfFbwgVRhqFwVc7UIspvmPoPk5o5l3CzNj/hDvD/8A0DIv++m/xo/4Q7w//wBAyL/vpv8AGsc/FbwgA5N/cARnDk2U3yn0PyUv/C0/CW/Z9tud+3cV+xTZC+v3OlHMgszX/wCEO8P/APQMi/76b/Gj/hDvD/8A0DIv++m/xrHHxV8IMIyt/cESHEeLKb5/p8nNB+K3hAKzHUJ9qnax+xTYB9PudaLoLM2P+EO8P/8AQMi/76b/ABo/4Q7w/wD9AyL/AL6b/Gsj/hanhIMym+uQyruYGymyo9T8lA+KnhFjGBfXBMnKAWU3zfT5KOZdwszoLHw9pOm3P2izskilAK7gT0P1Nctrej63qN9Hrn2Jjc2GpRGztVkTd9mUkO2d23c+4nGeiqKsf8LX8H7N/wDaE+zdt3fYpsbvT7nWlPxU8IqXBv7gGMZfNlN8g9/k4our3uFnax0t9pNjq8cX2+0EuzlVc8qT16GqP/CHeH/+gZF/303+NZA+KnhIsii+uSzjcq/YZssPUfJ0pP8Aha3g/YHGoTlS20N9imwT6D5OtHMgszY/4Q7w/wD9AyL/AL6b/Gj/AIQ7w/8A9AyL/vpv8ayD8VfCK+Zuv7geX/rM2U3yfX5OKX/hafhIuE+23O8ruC/YZskev3OlHMu4WZrf8Id4f/6BkX/fTf40f8Id4f8A+gZF/wB9N/jWOPit4QKow1Ccq52oRZTfMfQfJzQfit4QAcm/uAIzhybKb5T6H5KLoLM2P+EO8P8A/QMi/wC+m/xo/wCEO8P/APQMi/76b/Gsn/hafhLfs+3XO/buK/YpshfX7nSmj4q+EWEZW/uCJOI8WU3z/T5OaOZdwszY/wCEO8P/APQMi/76b/GsrUfCUE90LPTtItraLaGkvpmL4/2UjDct7tgDI+90ph+K3hAKzHUJ9qnazfYpsA+n3OtL/wALU8JBmU31wGVdzA2U2VHqfko5kFmQWfhDSfDPifRpbGOQ3NzJKLieR8tJiJsZAwo6noBXdVxI+Ingu+vbOVr6Xz0LNbM1rOvUbSR8uDx611en6pp+qwmbT72C6jBwWhkDbT6HHQ+xoumBbooopiCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAr399a6ZYzXt7MsNvCu53boB/U+3evHtc8ban4nn8i1E1pp0gzDAilprhem8qpHy/VlT3foM/wCJ3ii48Q37WunOz6fYSgIgUMtxIGCu7A9UBOwepLc4Bw+yuV0/w5PeEIJGiMrTo29puMhiSOp9McdBxSautRolh0vWPIVYmNugGFja+eML/wAAt1RR+Z+pqnNpfiK2/frc3ZfP/LjqUjgD1MU33vpvFaelawtxDHbyzmS8SFXlzGV3Z7jgAjOelaP2n3pOjT2sg55dzkrfWGuJSNUiM8mRE15bxCK5QnosiEYb/cYYP8Jc1oC2h320cYt3MmTaFHMcNx6iJ/vW8o/ug7T6dcWNY0yDVY942R3aqVSUrnI/usP4lPcf1rE0+8RvtenamrCFj/pUZbLIQP8AWqeu9Plbd/EmScsjZ46+FSXNT+7/AC/r8dTanV6SL5Sz+ztKzIlsZfLklnhAEMv9y6iHAOekq4PTnHJkeCNJbhZIZlmhXNzECJJ4k7OpIxcw+zAkfXioHlvYJrl5lSfVdPj23sW35dTsj0cjoWAPXtnv0oRG821s7K5OShudAvHPIH8Vs5Pb+HB6cZ7CuGz7/wBf1+Ho0b3J0t4jLBHGkLyOhe1EUhWO5TubaTOYnHeMkr+GSIxHZtbrIHhFu8uxZpotsay/887iMf6qTP8Ay0TGTj2zB59rNbLLIpt9JvpfLuY14bTL4f8ALRe6gnn8846U+Se6ha7ubq3SW+swINZtdoC3tt/DMB03Ad+OvOBxT5X/AF/X9O3RqxdE8kMCfaTLHMhhwLxGUST24/vOMYuYfcgsB3z0cLdPtEcSxq9wYvMhjhl4njxy9rKeR6mJiV7dOTAq3CXENpaXO+8hi+0aJeNybmDq1u+fvYHY+meKjR7WeCAIWt9I1CTMJHDaXfDnA6FVJ5x7noOqs/6/r+tVvuXJ0itGjgZGtzDNJtgmZNkDyd45FHNvN/tJgE9u1K0dssdy8quiRMFvPMjV5bY9vPT7s8RHST7wHfqRA9zIEu7q9tUaSJhba/YhciVf4bhQO/uP0HNPAvY7kQwT/aNUs4fO0+5PI1GzPJif+8QPxyOPWiz/AK/r+lZ7XQXJ/s6ifyxCzXKxbxDDLueSL/npbSn/AFi+sT5HbpjLEhtmW18o2zxzt/okgzHbzt/cGPmtpuo+XAJzxngQR/Z5Y7SG2mMGm37GXS58/Np933iz/dJzx0OePWka5Robi7vLXFvJILbXrFV4jkzhbhB2J9R1I79afK/6/r+n6phdE7R2ghmkc7IVfZcPNEpa3k7LdRD5XU9pVwffvUht0WeZGgl+0xR7pYI33zCLtJC5/wBfF/sPnHT0BgZ76G4lUMlxq+nxbgx5XVLE9m/vED6/ic02NUkNpa2dyUtrjNxoV4T81rL/ABW7Hn5Scrg+w57Kz7/1/X4eady5OkED/ZVhFvJ5wLWbRuY4LkekT/et5f8AZB2n064YUs/s7SlkS2MvlvLPCAIZf7l1EOFOekqYPTnHJgNxA9s91dQeTp11L5GrWw4NldDgTp/dycH8O5qR5b2Ca6eZEn1XT02X0W35dTsz0cjoWAPXtnv0p8r/AK/r+tHtsXRO8ESS3AkhmWaFc3MQIkuIk7OpIxcw+zAkfXihLeIywRxpC8roXtRFKVjuU7m2kzmJx3jJK/hkiFI3EtrZ2Vyd2w3OgXjHkD+K2cnt2wenGewqITWs1sssim30m+m8u5jXhtMvh/GvdQTz+ecdCrP+v6/rVb6suTiOza3WQPCLd5dizSxbY1l/553EY/1Umf8AlomMn8MveGBPtLSxyoYcC8RlEk9uP7zjGLmH/aILAd89IJLi5iN3c3dukt9ZgQaza7QFvbf+GYDpkDvx15wOKcq3KXENpaXO+9gi+0aLeNz9qt+rW75+9gdj6Z4os+/9f1+GvdBcnFsn2iOJYle4MXmQxwy/6+LHL2sp5HqYmJXt05NVpLFVhWIwTCVv9HIXZFI+fuSLwbebP8a4BPbtUP2i1mFtBAfI0zUJA8XJDaVeA847qCckDjOT0GcytcMiXd1eWiM8bC21+xVeJVP3bhQO/uP0HNPlf9f1/T9U0XQ+eNBFO+PLWJwt8J4g8tse3noPlmjPaTG4Dv1IntBdWt+Sq7buKMSRraTEyvF18y2kP30/6ZOSO3AxmHF7HciGCb7RqtlD52n3J5Go2Z5MT/3iB+ORx60yP7PKlpDbTeRpt8xl0q4z82n3feLP90nIx0OePWhXWqf9f1+vVamh6N4X8fW2oG3tNQuYme4bZbXiLsSdv7jqf9XJ/sng449B3NfPUxgmEmoXtptj837Nrlogx5cnRZ1HbPHTqQOpGR6T4C8U3Fxc3HhvVrjzr+0G63uWPN1B/C3ucYOe+e5BNelQrc/uy3/r+vxOapC2qO8ooorpMgooooAKKKKACiiigAooooAKKKKACiiigArlfiDrp0LwpOYZfKurs/Z4XGf3eQSz8f3UDN9QPWuqrxz4n3g1TxnY6SrI0dpCDIMchnO9h/3zHEPpIfWgDmbOxX+xZIceRJcRgYxnygPur26d/UknvUdxHJJHPpKlfKaRZ0VjgNFuy6D6H9GFa/k1ja4JAYltSVuY0eZnH/LOED52P6YHc4xzTAvWnmvqVxLFDJdXZRUMduMrCg5ALHCjJOeSP0q/OdXghMv9jzyoo+byZY5Cv4KxP5Ck03TbZrKIQWlo1sRuSTUoftDyZ/iEe4JHn/gR9TnNZHiKLStKR55rO1iutm6OTTYzFnHQSRbiApPG9SOexHFZSVV7NL5f8EpcnUnTXbh/L26bcN5hITayHcR1UYPLf7I59qyNUv5mnt9SitZbZ0bY0shUoMcjd1+ZSeV+9tLgjBNb8cayRSSvpsL30SN59uY1H2uNfvqcAATICCGXG4FSODgLJHDdTApDDqE01v51o8yj/iZW4+9DJx/rUHRuvTPeuSWKqRlyyX9f1/W9tlSi1dDXnMdnZ6rZxt5umspWMn5jayEgRn1KOHi56cmo3soyt7pFoxMeF1TSXj64xnanoSuQB6oWNVfChtL+yewJDWrSPancBkRTKQpI9RJCp9jLU1uUtLDT9TEEUdxp126TFEA2qQJWH4ASRD61FSHLNpfL56r8br5lRd1r/X9L8iwJYL27iuJGRbLX4fIudv3Y7lcAMM/7W0r67mNRR3MttBaanLHm70mT7Dep1LwEkKPVhncg9WwaW80u2VdcsJI4x9nkFzHIVBKxjhyD6LDJHj3FWFt47rUBF5UcKa1Y7SgUAJPt9Og2PEPxkrP3beX6W/8AkX+BWv8AX9d/zK0loYIb3SreX95p7/2jpsqnJMXVtvrwQ3+0yt6VKVt728ePCJZeIId208rDdqec9uJBg/3i47CorN7e1i0XVo7eOJrWdreUKoBVSN6g/wC7C8mfcUyfSoks9TsBDEJ7C6SSJ2QfKpzEPwVfLkPuadtbN/1e352fzFf+v6+aJI73ZHY6xcoS1uTpuqI5yWj5wW9flyD6uoHamyQTWltcWUcmb3Q5jdWcpOd0BwW57gZRzj1K+tWjBFdX13BbQIsOr2K3EERUbRLt8yNcezxzEj/aqGxFnDJoOpRwRiLmzlO0ZZASqZ+scu8/7gpeaX9au3/pUR/1/X4Mc8EF1d3NjGAlprcX2u1VzgR3I5Kn0+YMrexQUyO8jkNlq9yC0Nwh03VVbqfl4ZvQlMMT22YHWoH09YtLuIfs8b3mm3ilSygs4YmNcn3ljDn2ars1vbyXGrWcEKPa3lst/bRbRtbaRMox/tEzD6LQ0tun/Dfo0/VBd/1/Xe/3lbbc2VqYwwOo+HrjKMTjfbsefoOhPoj471JJaQzy3ml2+fs1+g1HTOdpWTBbYD/CSA68fdCjuadaQ2YvdHumiiaK6gawuHCgbsEwk/Vy8R+i1UaBYtJSeW3jku9MvSJCUBLgnJH4zRsg9jTs7+f63/8Akl+Iv6/r5fkWo7mG5ntdSnP+i6vF9h1AgbcSgYD47Eja49AGNRJLc2lvBcEbtR0GfyJVXrJAxwAB6Zyoz0VgTU11ZWyf27pojU2rD7fCirwyqQ74Hukuwf7lOhtLaXVLF5IokGp2b2k7IgGJQDFIw/4GsQH+8fWp0tfp+lr/AJXXyHr/AF/Xchks4wl7pFqxMYC6ppLp1xjOE9CVyFHqhY1IJIL26iuJCq2Wvw+RcFeVjuVIAYZ/2tpX13MarARLp9jqM9tEZ7C6aO4ygOFIEpHuAFkiH1qa606GK11zSCqJFbTC7jOBhU+67D/dhkj59RVcutm/6va//pLFf+v6+aGx3UttDZ6nKmbvSpPsN7H1LwEkL7sPvIPVsGmz24s7a+0yKba+mt/aOnSg5Ji4LY9eCrf7TBqtJaQXGroVt4oG1exwNqAeXOUwcem1ovzk96olLeWDQtSe2i2W1z5FyrKMiMASID/uxM3B9KS7/wBdX+aa+Yf1/X4MteTbXl7KoVI7PxFDvw3zLFdKe/biTg+pkHYUyO+2JY6vcqS0BOm6pG5yWj5wW9flyD6sgFNl08RaXqWkqqBtPu1khBHyqrZiBx7Dy5T7nNWPsltcarc/ZbWFP7UslubUeWPll270UfRo5SfrRaNvL9NP/bWvuHr/AF/Xf8yvJbzWdtcWSSf6bocxurSVj96A4Lc9wMo5x6lfWpnt4bu6ubGJQtprcX2u0VjgR3I5Kn05DK3sUFNgFm8mhajJBHJER9imMiAl0U7Y8/WOUOf9welQtbT2uiS2tvgXWk3qtEMdQzFB/wB9TRhyfQ07O/n+t7f+lJP5iv8A1/Xl+RNHeRyNZatcgtFcodN1VW4J+Xhm9CUwxPbZjvTIornT/nSQJqnh6f5JDwHgY8E+ig4J9I3I71KHhvZ9Yhhj3RXcAvooj3ZT5oX/AIETMPcLUsLRS3mk3E7eZDeW7afcuf48HySfq5aI/RaSfL7y/rS/5XXyQNX0f9f1oz2zS9Qh1bS7a/gyI7iMOAeq56g+4PB9xTr2/ttOt/Pu5RHHuCDgksxOAABySfQVxPwru5hpF5pVyT59pLuwfcsjH8ZY5T/wKug8V6bBq9na2Tag9heG4EllcIASsyAsODweM8d69W+l0ctjTsNVs9SMy2spd4GCSoyMjISM4IYAg4p2o6ja6VYyXt7L5VvGMu+0ttHvgGuCPifVrK01K2v4IIdVtby0tbq/thmN4pGAEgB6EKTwehI7Uvi25vYLLxRpLzyXNkmlpcxvJgtEzMVKFu4O3Izz1p+n9aXBLXX+tbHooIZQR0IyKWuFXVNV1G9v/suoW9l/Zl4kbJLJwYtqkhk2HO/Jwd3pjpzVGq6vHMbttVuHEfiL7AIWVAjQkgYOFBzzwc9qFq0u/wDwP8yb6Xf9b/5HolV7a9t7xpxA5YwSmKTKkYYYyORz1HI4rhzr2qyeHn1yK5kF5FqptWsiBsKef5fl4xnO0hs9c+3FPm8R6hZ2OsGW8ZtmuR2KTuq/uIn8sE8DHG44JHU80LX+vT/Mb0/r1/yOzg1K0ub65soZd1za7TNHtIK7s7eo5zg9KtV56Rf2fiPxSmmXBlu9tj5azygM4+bKBscEjIBPc11PhnURqWkmXN0JEmeOSK7UCSJgeUOODjpnuMULUHobNFFFABRRRQAV4ZcPJqXxA8QXUmP3czRrx6N5X8oF/Ovc68J8Lk3l7rV053NJeOS3rlmb+bmhAaPke1c9ETc30rgblkk8xucgpGzJEv03rK5/4Ae1dmYcAnHSuc8M2fnaf5uM5jgH0/0eMn/x5mP40xFTTp5bV5dPwcQ/NF/1zPQfgcj6AVU1lp9SkFoqF44ijSgDOSzAAH6KWb8q6DVdPlg8nUIIXlktzh441yzxtwwA7kcN/wABqjDDNbTw2chEVxNG97eScHYMgbRn8F+i0DGWc8lo7hQfNtAJIR3IRWeNfxjW4j+ip6Uy7jawTU4LIZbSrqPUtPOcAxSYLqP9gbhn8aZp8kjzadeTSeYLj5xkAEL9oiRQcf7Ex/OpY082e3DMT9o8MGB/cgN831+QVw4uKUlL+tNf818zei9Gikyx6b4o1aS3GLK5tRqFv+aT5H08hhWxdIkd/wCILdx+7SSOcj2SYTMfxE/NYUjB9Q8Pk/dfSp4CP9lEnUfzrYuz5moalnnzdEmLe5MMX/xIrKd1GLfRfk0Ut3/W6ZJaIZ9S0lJet7pyW0h/2vKmD/rHH+lU4Lk/2RpN43Dw3h3eo3mK6YfkrVahf/TfDz9zcXQ/K7VR+jH86zrnjwxqqjjZdvt9j5EifyAFSlrb5fjJDb0v/WyZfntwV12xIG1bqN8H0e4kVvyjkUU8E39+M5zqej8+7Sw/zH2el1Nsax4lI4zZyy/iIrYj9SfzpbI7dY8NEcYDKPopmUfoxqL3hfy/9tT/AEK62/rf/gkMF0CmhX46LdSJx2D3EbL+Ubt+FQzwH+ytXsxw0N4NuO29pbVT+SrVVTs8LR448q/Cr7AWAP8AMA1rXWE1bxGB0Vo2/KRGH6sfzrR6S+f/ALcv8yen9dv+AJdSGfUtUeLhr3TXuUx/fMURT9Y3NFtKkd74fuE4jWSSAfRJzCo/75npNMAOreHVPPmadBEfcCG5/wABWdayE+HNHkzyLtCD9Uif+YzUJacv9bSX6Dvrf+ujHOph8OXMaD5rG7OwemIGhA/7+Rg/WtK9dYtU18qMq1ubxBjqIvJlH/j0j1DMoM/iGPHyi6tTj63shP57qIT5moWu7nztEj3e+6F8/wDoI/Km3vL+toyBLp/XVE1kFi1TQA/KtALSQ/3li86Ij/vqRPyrNSRoPDlvIx+axu/nP0gWYn/v5Gfxqa3kP2TQJf4vtzjP+9dwE/zNNuAP7M12PHyrfYx9bidP5cVSXvW8/wD25r8mK+n9dkXbqNI77xBbuP3aSRzkeyTCZj+InpLRTPqWlJL96901LaQn+8YpQ/6xp+lR3h8zUNTycmXRZi3uTDDz/wCOinQv/p3h5x1+0XS/gLtVH6MfzrP7Hy/9t/4BXX+u/wDwStBcn+ydJvG4eG8O723mK6YfkrU6a3Dza/YknbHcRNt7Ye4kVvyjdR9KqXPy+GNUA42Xb7fY/Z5E/kBWnqLqNb8UFRg/ZZJD9RFbEfqT+daN2lf+vii/1J6f12f+QZN/f986no+fq0sP8x9nqOC6BXQr4dFupE47B7iNl/KN2qayO3WPDRHYFR9FMyj9GNZKnZ4Wixx5V+FX2AsA38wDUqO0f6+0ht9f66MtTwEaTq9ovDw3g247bzLaqfyVat3chm1LVXiHN7pr3Kf73lRFP1jc/nS3OE1bxGOytE35Sow/Vj+dN0wA6r4eU8+ZpsEZ9wIbn/AUm/dcvL9Iv80O2tv63aG29xFb6l4cmQAI00tuD/uSmFR/3zMfyqk6mDw5cRoPmsbs7B6YgaID/v5GD9ajh/eeHtDlJw0d6jA++yJ/581oTKDN4hjx8ourU4+t7IT+eavaXz/9u/4JO6/rt/wDqfCF35fxIvrZceVLDI6n+9uWGRf182vR7ywtNQjWO8tYbhEbeqyoGAbGMjPfk15H4Vcf8Jv4fk3fvJrO33DPUG2uCf1UV6vf6lHYvbQ7GluLlzHDEpALEAsSSegABJNduH/hR9DCp8bFh0rT4LSW1isrdbeXJkjEY2yZ67h3/GmnRtLaze0bTrRraTBeJoVKtjpkEc1Qj8SebNBaLp1ymoSiVvs0uEIWNgpfJ42kkYI65+uKsfjW2uGsYrTT7yae7eaIRfIpjki++jZbgj15FbEGudC0hr+K/Ol2Zu4lCxz+Qu9AOgBxkUHQtIKlTpViQZfPI+zp/rP7/T73v1rIh8aQ3MOlG2028ll1IS+XGCg2tHncrEt6g89KE8b2Eum2tzHEwmuIpJRbyyJGyhG2sCScZ3cDHWjYDcGmWAvDdiytxck7jL5Y3E4xnPrjjNNGjaWIbmEabZiK6ObhBAuJj6sMfN+NZcfiyG7s/tGn2N3dlLZbmWFFAkRWzhdp6v8AKfl9uvTMUHis/wBoa4Ly1NvY6YkbGUt8x3Ju5HYnIGPah6aAjUi8O6LAjJFpNiittB226jO05HbseRV6C3htYvKgiSJMk7UXAyep+tc6njawL3MckMgli8oII2WQTGRtqqrKcbs8EE8denNM0G9vZ/GPiG3ufOSOGO2McLy71QsGJK+gOB6UAdTRRRQAUUUUAFeI+C4BFfa5a5yY7knP/bSRf/ZK9urw3whL5HjzWrWRiBczTlAR12yErj/vqb/vk0X1A7LyM9q5v4dsl9pBC94oJFH+yIxD/wChQvXcfZ/avMfC18PD15pscZ3ebpsN35KglnhdB5oA7srx+YAOzSYpOaUku40rps9I/s/2qvNoNpcTxzzWsMksYIR3QEqD6GtKHUYbiFJoZEkidQyOpyGB6EGor3WLewtXuLhsIvAAGWYngKB3JPAHeqJPP/FKW2l6jbQwxxxQ2sSZRFCqoL+b0H/Xt+o9azJN9pczBuDp/hoRvntOw4B+u+n3hfW/ETC8ZUjVnmvmzlYlGN659FVEiz/eMhHeojC+royTgxS+ILkXlzuODBYxH5Sx7Z4wa4MXNOSi/wCv6SZ00Yu1zOv8215o5PBttGaWRe6tJFO2Pr0ravgY9W1tOpttIlhP++YoQB/49+lc/bXH/CQ+Lby9RCEu5UgiQjAEZZFU/wDfCyH8DWtd3qmDxNqfVJbuOCM/3tshZv8AyGqmomnaMXvb82v+CNPVtf1ZFu1Hmaj4YiXktJPKPo85lH6RmsuV/O8KXjJ1u79lj982zOD/AOPgVpKTYa2Aeui6OocjtIkRGPqfO/SqtnbFrbwxpqjLT3LTkD+4sihT+MaP+VQpfa+f/pUv8imun9dEXtRIk1nxQV+6IDAPq6wRj9Uak09g+s+GQTgC2Fyx9FcTOD/47+tZs92ZNG1q/jyxvtQSOHHV9jvOuPwZRV64/wBG1jVvLII0zSvsqkdPM2KqAf8AAmcfhUtWjy+VvwS/Njvrf+t7/oZ0QMvhayXGGutRBA+tqsP/AKEwrTuplN/4nnJ+QSwx592nCfzjNRWUQe68LWQ6HzL1s9kaXzUJ/wCAxYqg8r3Hhq6ljz5uqalthHc8M4P/AH8kA+tXo5fP/wBu/wAok9P67f8ABNWxfyNX0Uvx9l0iKaT2xDPn/wBDX86o2sbf2JoNv/HLe4H/AAFooT+tWr+SP+0/E0yNiG3tPsMbehkEcQ/EMj0tnj+2PDsMnyLb2rX0+f4A5eU5+hVPzFQnZX8v0b/VFW1t/W6X6EdzcAReI7rPyG8gUf8AALqRz/46M1KT9m1Rg3/Llof7z22Q8/8Ao0Vloj3Phm1gIPnarqJ+Xvt8sRN+Ujmr9/dRvc+K79j+5LLaA+u5ljcD6LFn6U2t4/L/ANJj/mK/X+urFto22eG7b+JryWT8FuoiPzCE1WuZx/YWuXA5El+dvvhpZ/8A0FhV22b7LrulCcY/svSxdXH+y3luXB/GSM1n21u8mi6FYMMy3t80jD1ChYGJ/DcfoKakr3+f4uX5ILaW/rZI0b8GPVtcQcm20mWA/wC+YoQB+p/KltR5mpeGIl6u88o+jzGUfpGap3d6pt/Eup9Ulu44I/8Aa2yF2x9Y1U1ZBNhrYB66No6q5HaRIiMfU+d+lRqo262/9tt+ch9f67/8AzpW87wpdsn/AC93zLH75tmYH83ArUv/AJ9b8VuMbDD5I+rrBGP1jNU7K23W/hfTlGWnuHuCB/cWRdp/GON/yqncX7tZ6vdICw1G8VYCP4/LkadQPqHUfhWlrysv695L8ok7L+u3/BNrT2Daz4ZycAWouW9ldZnB/wDHf1rKhDSeF7FMYa51AED/ALdlh/8AQmxWhcn7PrGrmMgrpmlfZVI6eYUVUA/4Ezj8KZZRK934Wsx0/eXr57I0vmoT/wABixUqWnN8/wAJS/VDt0/roiW6mU33iacn5BLDHn3afZ/7TNLYv5Gr6MX4+yaPFLJ7Yhmz/wCjF/Osp5HufDVzLHnzdV1LbCD1Pys4P/fyQD61o38kf9p+J50bEMFp9hRvQyCOIfiGjek46OPy/CMf8wv1/rqyhHG39j+G7XHzzajgfRGjiJ/OrdzOBD4juv4DeQKP+AXUrn/x0Zo02dZta0KJxsis7druYn+HcXlb8mVB9aooklz4ZtICD52q6ifl77fLETflI5q7+9d9/wD25v8AJC6f12t+p1Xha3c/EfSIsH/Q7KJXOO628gP/AKNX869K1/RJ9VaxurG9Fnf2MplhlaPzEOVKsrLkZBB9RXD+AN2o/ELX79QDDbb4Qfdiif8Atu35+9eoSSJEheR1RB1ZjgCu2grUo37IwqP3mYMnh+7bU7HV/wC0UbU7eN4pGaH91Kj4JUKGyuCoI5PvnNV7fwg1pqOn3kN8m+2mubiYNAT50k33iPmG0DsOenWt2bU7KC6traS5iWa6yYU3cuAMkj2/xFLcajZ2t5b2k1xGlxc58qMnlsDJ/wA+9bEHOaZ4OudOk0dv7Uik/s17h8fZSPM80k/3+MZ981DZeC9R0r7DPp+tQpeWwmjdpLMtHLHJJvwUEgIIPQhq3dF11NWF0HjW3lgu5bbYZAxcp1I4FW4buQi5a7ijtkilKIxmDB14wx/u5z0NC6MPIxD4b1O31ltSsNaEb3ESRXqz23mCQqTh0ww2MMkdxjHBxTLrwg13PrivfkWmrRRq6iP95G6LtDBs47A4x1711AIYAggg9CKas0TM6rIhZPvAMMr9fSgPM5m78M6rqmkrbalriPdwPHLbTwWvlqjowYMylzuJxzyBgnFXNI0S9stb1DVLy+gnlvY4keOK3MaqUBAIJdvU1tJNFISI5EYrjIVgcZ6VlrrqP4nGjJErg2rXHnrICBhgpUjHB59aOtg6GvRRRQAVj+KNfj8NaDPqToJGQhY4y23exOAM/mfwrYrgfHmkX2qLfXV3tXStOsZJbdQ2TLOVIyw7bR0//XWlKKlNKWxpSipSSlsdZ4f1iLX9CtNSiAUTJlkBzsYcMv4HNeKand/2N4i0vVRvO2e63KMchLiTI+pR5QPUla9J8E6RfaO6eTtfR760iuvmb5opyo3ADuG6/wCeeZs9FHiCa607f5cslrfNBJ/zzlW8Vkb8GA/DNY4hKNWKjtf9GVKKTlbb/gndxNDNEksTq8bqGVlOQwPQivN9D0OLXtOhgMzW9zFommS21wn3opB5+CP5Gr3gXXn+ztod4hguLUssUbnlQpw0R90JAHqpQ+tQ+GLlLTTzM5YKnh2wY7Tg8CfoR3rOp/Ej8/yIivdfyKUb3unXZtL2G4sr5mJP2GeKNbg92WOYeWc9SUIPqq9Ki1BNXEhd7d7FV4/tPVr6IsgPXy1j+WM47gZI4yOtaNvd3d9odz4f1eUzajFdRwl26vG53Bsd8LuH/Aa6FfDPhwKFGh6ado2gm2Qn88VUoVPsy09P+D+glKPVHnCXNhBa/YltpJLY4e4DtHG1yV+6r5b9zAP9rlvfJLSX+qWqRXL3JkuhcANeGDCvOF+5Cik5jh7bjy2eOteif8Iz4c4/4kWmcdP9FTj9K858aHR31RNO0jTrO2W0Yma4toAG8z+6CoH3dwOM8uyDHBrneDu7uX9f1/WiNVW0skZ/h2d7Vb/WJUCfY4nnVsjYZnykarjsWaUj2YVYtYnA0HR3tZQI92pXYZkGEyNpPzcfu12nPPzVaNjEDb6NcbI7a0/4mGsEHKxjGEh98IAuO+cjpTG+2ahDK6pt1XxJJiNG58izHdvQEAD3Uetc85qUm1/Xb8Lv7jSMbK39f1sitNc3NzpF1cwwu13r9+I7ccA7EfcOp6b2CH2XmrUl4kN5rOoxq0NvpVmunWjMQcSY2DoTypMhPsRTjdxQzS6vaAva2EY03RlxkzTEbS4Hfqxz347ikSzgtWtdNuXBsdHH27VZQdwec/djz/EcAL7gnvU3Xb+tNPuSXqx2/r+vmyK3Vre80XTprOVItMhfUb1SyfJkhxnn+HCDHo1V2N1daJHEsTm+8QX5kCqRuWNCTnk9pGJHsKtCG8vYDbOfL1XxBKLm4JP/AB7Wi8gt6DPr1AAPNPa7G+41iyjbaVGlaHEv3mx8pkUe3zYP+1g0czv5/r/w/wCCFb+v68vzGXF+jP4h1ZY3igijGl2YyCckBWC4JyVVS30alid7TVtOt57OTytCtGu7xVZMCVv3jDr/AHjGR34PFOWK1sZYIJWRtM8Op5126/dmu2OQi564bAHoAQaYLO5uII9MuH8u/wBVk/tDVJCcfZ7dTkAntySwHY4HSldWt0/4Fvyu/Voev9f13/IrrBcXOjaZp5jeS71u8a6mCEZ8oDGeT0OXkH0qWfUftMHiDWBC4W8kXTrNePnU4DhcHvGi/ialkuZJ/tWqWsRFxqX/ABLdHgHyssI4Zx/dGO/Yk9jTg1rYzpNlZNM8ORlFI6XN63JAHf5sH22+hp83df1fb77R+TC39f182NW4ey1mIvayPF4esQZfmTBuGBz3/iZh07pVeK1kfT9C0gxtLLfTNqF0AQD5WNoLZIA3Rhz9amXT3aGDRryTbLM51PW5WOPKTqEY9jgk47MQelK8tzepc3sMWNQ19vsthCeDHaj7zH0BUAfhkUX7f1vr+Ll6JBb+v6+SIJL+W8sNY1NYH87WLxLW0DY/eIGyQMHuoRD71O141jqtzcx28hh0CwW1jYsmPPKlFPXuzOD9BTzPb2lw2oQ/vbDRIvsdhkZ+03bDlgB15JJx6Aimpp6RrbaNdyDyrUnUtblJyAxHyxk9zt4x3zkdKV18v+G/Sy9WFn/X9d/yI4bYxL4e0gxO4QNqd4uQCiZG3dkjH7tdp/3qg+03N7pN3cJC6XevX6pb7sZMaOW9c4DlVPtirTfbL+GVgu3VfEkn7tG58izHdvQEAD3UetPN3FDNLq9mC1rYxjTdGXGTNMRtLgd+rHPfI7inzP5/re/5/gmK39f15fmQ3GofZr7V9Qht5FttMtBptq+5PlkxsB6/wkyHjsc0rILC50Oye1d49MgbUr5FIzFlg+Dk9VAQY9DUiWkFq9rpty4Nhow+3apKDuD3B+7Hn+I8BfcEjrTPIu72D7K5Eeq+IJRc3JJ/49rReRu9Bn16gAGldf16f5XfzQ7P+v6+RViN1f6OkBieO81+/wDMBJGfLUk54PRZGLc9hxU13qX73X9VjtZVt0j/ALLtCpU7cgKQOeSFUsMf3qdHc+V5+p2m99y/2XoUQ++yg7S6j/ZBOCf72DUyxWtjLBDKyNpfh1POunX7s123IRc9cNgD0AINNy12/rTT8o/eK39f182KP9A1bTbeSBpItDszd3ixkYWVv3jLyeu4xkd+DVG2t7q+0rTtMmTbca1eG6lIbLGLBBJ9AcvIOecGrIsri4gj0u4fy77VJP7Q1SQnH2e3U5AJ7cksB2OB0p0lzJcfatUtoiLjU/8AiW6PAPlZYBwzj+6MDr2JPY0c33/8P+t36Idv6/r7vmR3F1G1rr+qQIDHdyrptkiD76HAYL7GNFx7mrW9NP1pGkIeHw7p4MhHRrhgePqzuPxSmBraxnWYFZNM8ORlFI6XN63JAHf5sH22+hp2neHr3V76x8NMT9ouZP7R1iUHmMH7qn0ODnH95genNOMed8q6/lb/AC/Fibsrv+v6f5Ho3wp0htN8Hrcy5Mt/IZ9zdSmAFP44L/8AA61/FcvlHSSbGa4T7aCZY4nlFv8AK2HKJy3XAzwCcnpW/FFHBCkUSBI0UKqqMAAcACn16pyHl+h200N74alu9OvCttPfwuXs3JQs+Y8/LwMdD0HrXTeIIMeM/Dl69nLNDGLiN5I4DJsZlXbnAOOQeTxXVUUdgPLzpriN7tdJu/tg8TCZZfsUnmCHfywO3OzGfap00+4MmqC3S70+Ya09zayvYO0J/dAZdccofmGR0OK9JopJWVv66f5A9Xf+uv8AmYulfbZPCEK/ZFsL02xVYFztjbBAxnkDocHpXFWVhFeaDLJJp2sHVYdMltbiKa02puK9OEHmksAQQWPOa9Pookr38/8Ag/5jTtbyPKpdL1CCBV0fTbm3upfDXlOy2zx7pgVO1mwBvxuxk55rd0cw3HjeyvbPTLq2tv7IMDNJZPEFcOpCElRyADXcUVV9b+v43/zJtpb+un+QUUUUhiMyopZmCqBkknAArA8U3VvdeCtZe3nimUWsgLRuGAO32q/r+pLo/h/UNRfpbQPIB6kDgfniuYGlnR/g9NZuMSjTnebjrIylm/Umrp/H9xcPij6nT+H/APkW9L/69Iv/AEAVxng3/kZ1/wCuF/8A+lYrs/D/APyLel/9ekX/AKAK4zwb/wAjOv8A1wv/AP0rFc9f+JH1f5Mr+b+upX+Ivha4iuz4n0iJ2dQDfRQ8SHaPlmQ/3lBIPYrweM1y2nzwiLTbSa+itPP0fTSGljJWTa0pKZyACfc884Br3WvENJ8NXviCC0ksJ1WW30GwDQu2FmVvNyDkMp+6OGVgfbrU1HapB+oo/Czo7nSreXXYtYeQo8du0TgHAPo2fUAt+dUdBudGXUNQu9NurNIGjTdFBIuAFzmRwOhOcc84WsOfSdQ0tfImD6djOd73NogPsyNJCf8AgOPpWPdW8Tqv2zxDoLoh3JJNfS3zr9I2+Q/981Xt4Lf8mL2cmdH4h8aiS2a30iU7HyrXqkAEDqIifvH1f7qjnJOBWPpWnSWLW9wLbzdQm5sLMggZGf3r55WNSxIJ5ZiWPJGKMOr+HrGUTR3v9oXZxi7vF+QEdNkWckjsHKgdiOlSt4p0xlmD3IYTH/SC8p3znsJXAyFHZI12/wC1gmuWvVnNcsIu39f1/lua04Rjq2XPs1t9h8qWWW60xbnzLqdVzJq13niOMd0Bzz0/ImpZoZ3k1Frm4SC9uEH9p3anMenW/aBD3cjAIH19zQ/4SvTxL5guwsyJsEkYVXjjxjbCvKRLjuC7kdumGr4o0tRCqS26pEd8EYG6KNv7yqxBkk/25SvPIHry8lTt/X9f1pY1vE00jmW7tJLW0KXSQmPSLCUf8esfRrmf0J64PPQcnpAltaCzt4wJrrS4py4wP3msXZ7gd4x6njHrjNUj4o0po5FadHjmYGYSSE+e3YzuBuYeiKoTtuxTj4r0/wA15DeHzSmxpVISQJ/cTGVhj/3N7n2IzRyVO39f1/nvsXj3L00DuupLd3gSWchta1BeUgTtaxf3m6A/rngVKI7n7bHLBbi31D7P5Wn2r/d0y2xgzSns5GeOvbntlp4o0xDAsc0C+Tzboigxw+8SE4Z+fvyEHPIXk0n/AAk2ktCYzNC8Mj7nSR2ZZX/vTtgPKf8AZwqds4xRyVO39f1/l6l49y/HBbR29gIYZrjToJS1jbEfvdUue8rZ6Rj1Pb2wCSWwaC+iu7ssksofWtQiB/eOPu2sPdjnA9untVJvFmnM8srXjGSRdk0u8LK6/wBzcuRFH/sxB2PrnmhfFOnI8RS4hRoVxB5aKFgH/TFCdob1dzu6/Lg4o5Knb+v61/HpYLxNMx3TXskiKtrqT24jjQn93o9nj7zHoJCM4H17ZqKGKJF01ra0kltbcn+yLFxh7ybvcyD+FB1BPb0yAc7/AISfSTEIvNgMJfzPLcs8bP8A35c4eZ+OjbE6cnApz+KtOcztJdFml4uHaXEso/uu6j5I/wDYiDf73Wjkqdv6/r+tbhzR7l1rWH7HPFcXMk1o1wJNTvIxlr+4z8tvCOpAPHH6c1NJFdPdXju8dtqU0IW4lB/daRZ9kz/z0I7D68Dk5o8VacsiOt0iSRIUieNVXyUxjECElIx6sSz4/h6CmjxPpQjjRZbcRK5kjjOXiD/32Bw00nvIUA+oo5Knb+v6/wAtlZl49zThi2S6e9pZv+5QpounyDBJ/iuph/CMnPPt3NQ/Zrb7CIpJZbrTFufMup1XMmr3eeI4x3QHPPT8iapt4p0xlmD3AYTH/SC8p3znsJXAztHZI12/7WCad/wleniXzBdhZlTYJIwqvHHjG2FeUhTHcF3I7dMHJU7f1/X+foXj3L80M7yai1zcJBe3CD+07tTmPTrftAh7uRgED6+hLkjmW7tJLa0Md0kBj0iwl/5dYujXM/oT1x16Dk9MxfFGlqIVSW3VIjvgjA3RRt/eVWIMkn+3KV55A65Q+KNKaORWnR45WBmEkhPnt2M7gbnHoiqE7bsUclTt/X9f5ebOaPcupbWgs7eMCa60uKcuoA/eaxdnuB3jHqeMeuM0+aB3XUlu7wJLMwbWtQXlIE7WsX95ugP65yBVE+K9P815DeHzSmxpVISTZ/cTGVhj/wBze5+ozSL4o0xDAsc0C+TzbqiAxw+8SE4Z+fvyEHPIXk0clTt/X9f1pYLx/r+v6/E0JLa4mu4pIYTa6iIAmnW7HC6XbDrNKegYjPH4c9oYI4IbPTsxPNYwyk2Ntn59Vuj/AMtjnpGPU9vbANP/AISbSWhMZmheF33ukjsyyv8A3p2wHlP+zhU7Zxill8UaZN5zTXPmNKuyd2cCR167NwBEUf8AsxByfXPNHJU7f1/X9a3RePcvyWwaC+iu7sskkofWtQiB/euPu2sPdueOOnT2qYx3RvZZUCWupPbiONSf3Wj2ePvMenmEZwPr0GazbLWrLz41smLSoD5CwpuWAd/IjJKqT3dzu6/Lziuk0fwdqWrEZ054rZn8wjUC/lFv77q2Hmf6hF9zgU1SqN2S/r+v8vVOUV1MNLSaeXSrfTLKV7WLP9lWzgB7qT+K5cfwqOoJGAOe4B9e8G+E4vC2muskv2nUboiS7uT/ABt6DvtGTj6n1q9ovh+10USSKz3F7Njz7uXBeT0HHCqOyjgfXJOtXo0aPs1ruc858z02CiiitzMKKKKACiiigAooooAKKKKACiiigCjq2kWWuWDWOoRPLbOQWRZXTODkZKkHr2qh4uUJ4J1dFzhbOQDJJP3fU1u1na9YS6roF/YQsiy3EDxqz5wCRjnFVB2kioO0k2Hh/wD5FvS/+vSL/wBAFcZ4N/5Gdf8Arhf/APpWK7rTLV7LSbO0kKs8ECRsV6EqoBx+VcL4N/5Gdf8Arhf/APpWKwrfxI+r/JlL7X9dT0SvO/hl2/7AWmf+169Erzv4Zdv+wFpn/telP+JD5ij8LPRKKKK2IKGt3s2naNdXdsqPPEmY0cHDt2Xg9zgfjWRZ+JZ9V0bRryyjiSe+m8maGUE+UyhvMHBHK7W+vFaGsxXVzPp1vFayS25ulkuJFZQEVMsMgkE/MF6A96y9J8O3OneMdRusj+y5M3Fun92aTAl/9AB/4GaFvr/Vv8we39f1odVRWN4fvLm7fVluZjL9nv3hjJUDCBVIHA9zWzR0TAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooARgxRgpAbHBIzg14x8NfB3jLRfHlzfawrJaCOVJZWlDicsQRtAPcgNnA6V6ba69JceK73QzZqv2WFJ2n87O5XyBhdvXg55/OtiSWOFN8sioucZY4FHmHkQanHdTaTeRWMoivHgdYJD0SQqdp/A4ryv4P+EvFXh3V9Sl1mFrazeBYVjeRXLurZUjBPygF/8AvqvW3mijZFeRFLnChmA3H29azPEWuJ4f0ee/MazNEu7yfMCMwyAccH1oA1qKjE8RdYzIgkYbgm4Zx9KkoAKKKKAKtlptrp7XDWyMpuJTNLukZtzkAE8k46DpVqiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDiredrP4k6zeTWd/wDZpLKCJJksZnRmUsSAVUg4yKr6zeyahrFndXdhqqaLLDNbjZYmR1fcBueJkZlDAEA7c/TNd7RRbYd92eWa7aSQ6ZeabZ6TqatHpCJbTPFJPJKFdiEyAVQrwT/EcgdqXWluLvSfFFrdaXfXF7dvHLYuLKR98W1NoB2/KVIbKnByfevUqKP6/G4jiBDeR+LI7q1hkuLae6QzQXNs6tAwiC+dHJj7uOCp7578V29FFHSwBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//2Q==
At the far end, the outer solenoid is attached to the inner solenoid by a wire, so that current flows down the outer coil and then back through the inner coil as shown. What would be the inductannce if the sense of the inner coil were reversed?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 10.0 Ω B: 6.67 Ω C: 3.33 Ω D: 13.3 Ω
B
Electromagnetism
Electromagnetic Induction
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.025634765625, 0.035888671875, -0.036865234375, -0.0013885498046875, -0.00897216796875, 0.0203857421875, -0.02197265625, 0.0019073486328125, -0.03759765625, -0.0030517578125, -0.026611328125, 0.0166015625, 0.01446533203125, 0.00885009765625, -0.0010833740234375, 0.003173828125, -0.0...
991
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
Consider the circuit shown in figure. Switch \( S \) is closed at time \( t = 0 \), causing a current \( i_1 \) through the inductive branch and a current \( i_2 \) through the capacitive branch. The initial charge on the capacitor is zero, and the charge at time \( t \) is \( q_2 \). The total current through the battery is \( i = i_1 + i_2 \). At what time \( t_2 \) (accurate to two significant figures) will \( i \) equal one-half of its final value?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.02s B: 0.22s C: 0.16s D: 0.11s
B
Electromagnetism
Electric Circuits
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.02490234375, 0.009521484375, -0.022705078125, 0.00799560546875, 0.010009765625, 0.0206298828125, -0.02978515625, -0.0040283203125, -0.01123046875, 0.0245361328125, -0.038330078125, 0.02001953125, -0.01434326171875, 0.0033721923828125, 0.0284423828125, 0.011474609375, -0.00933837890...
992
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEUAW8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqlqur6fodg99qd3Fa2ydXkOOfQDqT7Dmubs/HF7q8RutG8Kapd2A5FxI0cHmD1jV2BYflQB2NFcPffFfw1YT2UEhvHnu0DLFHDlkO4psYE8MGUgj2ruKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKK5PUvH+mWuqnSNNgutZ1QcNbWCBhH/vuSFX35470SeOF0yOY+ItJutIZIHnj3ukqzBeqqyHG/wD2TigDrKKwPCvi/TfGNlPd6WtwIYZPKZpo9uWxnA5PYj8636ACiiigAooooAKKKKACiiigAqlq+rWehaTc6nfyeXbW6b3bv7AepJwB7mrteIfH7X5FOm+H4ZCEZTdTqP4udqD9HP5UAR+Fra++LnjGbXdbU/2Dp74gsyfkLdQnvxgse/A6Hj3JVCqFUAKBgAdBXNfD/RE0DwNpVmqbZWhWab1Mjjc2fpnH0AqD4jeKl8KeEbq5jfF9OphtVHXeRy30Uc/kO9AHj2g2cXij4+XE0ShrWG/luiR0IjJ2n8WC/nX0dXiX7P8Ao+ItX1t15YraxN9Pmf8Amn5V7RcPNHbu0EImlA+VC+0E+57UDJaK8N+IfiPxfYeM9J0q7v4LezuJIpBDYFgCN+CHYgFunsPavcqFrHmE9HYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8j+Kfjy8S/j8HeG3c6ncssc8sRwybukansxyMnsP09M13U00XQb/AFOTBW1geXB7kAkD8TgV4V8FtPk8QePNQ1+/JnltUMpdv+e0hIB/LfQB6/4H8HWfg3QI7KFVe7kAe6uAOZX+v90dAP6k1xXx+vIo/Cum2Zx50175i+u1UYH/ANDWvW6+aPHert8QPida6ZZuTZpMlnbsOhBYbpPoc5z6AUDPZPhVo/8AY3w70xGXbLcqbqT3L8r/AOO7R+FdnWdqmoWnhzQJ72VdtrZw5CL1IAwFHueAK81u/BvjvxpCNR1LxIdHSUb4dOgDYiU9A2COfz/pSD1PW6K+erXxF4u+FniyDTdevJb7TJSCd8hkVoycbkLcgj0//XX0GjrIiuhBVgCCO4qt1dC2dmOooopAFFFFABRRRQAV8+/HzSbmLxJY6tsY2s9sIN+OFdWY4z7hgfwNfQVQXlla6hbPbXttDcwP96OZA6n6g0Aeb6P8ZfD0mg2SNHeS6t5axGwggZneTGPlPQgnpzn2rkvivNqEPh+3utbCx6vq0m1LRW3LZ2yYYxg92LFCzdyMDgV7RpnhvRNFdpNM0mztJG4LwwqrH2zjNeGfEaRvGHxjs9CiYtDC8VmdvbJ3SN+GSP8AgNAz1n4ZaP8A2L8PtJgZdss0X2mT1zJ83P0BA/CuupqIsaKiKFVRgAdAKdQI8K+MX/JSvDX+7F/6Nr3WvCvjF/yUrw1/uxf+ja91oh/DXqxy+P5IKKKKBBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAYPjXTJ9Z8Faxp9sC081swjUdWYcgfiRj8a8H+EvjbT/BeqalbayJIbe7VAZRGWMboW4KjnHzH8QK+lqxrzwl4d1C9+2Xmh6fPck5MslupLH345/GgDlj4lfx8ktro63Fp4dQH7fqkimMyoOscQ68jq3YZ74rzv4T2q+Ivinea0IRHbWiyTRIB8se75I0A9lJx/u16f8AFPVk0D4cX6wBYmuFFnCqjAG/ggf8ADflWF8CNH+xeD7nU3XD39wdp9Y4/lH/AI8XoGek6hptrqlusF3H5kSypLtzgFlYMM+oyBxVuiqeq6paaNps1/fSiKCIZJ7k9gB3JPAFF7IW55L8cLb+19Y8M6Parvv55HCqOoVioGfbIP5GvYbWAW1pDADkRRqgPrgYrjPCvhy6vNfuPGWvRFNRuV2Wdq3P2SHsD/tkdfTJ9a7ihLljb5g3d37BRRRQAUUUUAFFFFABRRRQBh65q2tWO6PSfDdxqcmzKyfaYYo93odzbv0rx/wp4Q8c6L48HibU/DLXju8skgS9gUh5AcsMv7nj3r3yigCtp9zPd2aTXNjLZStnMErozLz6oSOevWrNFMmhiuIXhniSWJxhkdQysPQg9aAPBvjFeW5+JmggTJm3SLzefufvSefTjmve1ZXUMpBUjIIPBFYp8G+FmJLeGtHJPUmxi/8Aiav2Gk6bpSsunafaWatjcLeFYwcdM7QKI6R5fX8QlrK5cooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqG7mkt7WSWG2kupFGVhiZQzn0BYgfmRU1FAHi/xJ0jx544a0trbwu9rY2zFwsl9AWkc8ZOHwMDOBz1Ndr4D/trS9D0zRNQ8Mz2K20Plvci6gkjJAJ3YV93zH2PJrs6KAK9/f2umWM17ezpDbQqXkkc4AFeNL8V/DOqeIDqWtG8NtaOf7Ps0h3Kp/wCer88v6Dov1r2S+0+y1O2Ntf2lvdwEgmKeMSKSOhwRisz/AIQvwr/0LOjf+AEX/wATSV73HpaxyDfHTwgFJC6ixA4Atxz/AOPV2XhbULzV9Ch1O9j8k3ZM0UOOY4j9wE9zjk/Wmf8ACF+Ff+hZ0b/wAi/+JraRFjRURQqKMKqjAA9BVaCY6iiikAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFcV4t8XSW039j6MfM1B/leReRF7fX+VTKSirs1o0ZVpcsTY17xZpfh9SlxKZLnGVgj5b8fQfWuPuPFnijVyfsMEen256Mwy2PqR/IVHpnh6O3f7TdMbm7Y7mkfnB9s/zrQ1C5g0u0+03Afy9wX5Rk5Nc8qkpeR6lOjRpvliuZ93+iMOXT9ZuSWu9dumJ6qHYj+f9Kg/sq/hO6LWLtG9QzD+RrVsdcsdTuhbwLKJCCfmUAcfjV2WHHas9zodWcXytW+SMaDW/FWlkGPUPtaD+Cf5s/ief1rpNH+I1ncyrbatAbGfpv5MZPv3X9R71jTRYrLvLSOdCsiA+h7imqko9RSo0ay96NvNaHsasroHRgysMgg5BFLXkHh/xLd+Frtbe4d59Lc4K9TH7r/h3r1q2uYby2juLeRZIZF3I6ngiumFRTR5OJwsqD11T2ZLRRRWhyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAU13WNGd2CooyWY4AFR3V1BZWslzcyrFBEu53Y8AV5Tqmr6j47v3gtnktdEibB7GU+/qfboPrW9Cg6uuyW7MK1dU7JK7eyOh1j4l2sM5tNDtW1G56bxkRg+3dv0HvXPzX3jTVstPqS2EZ/wCWcHykflz+ZrX0/SLXToBFbQhB3bu31NXPI9q7YulT0hH5vU5nTqVNakvktF/mcg/h+/kO6fXbyRvUs39WpF07XLI7rPxBdqR0UuwH8/6V1jwe1VpIsVoq8nv+SIeFprb82Zdr428VaMQNQgi1G3HVgNrY+oH8xXc+HvGOk+I1CW0piugMtby8P+HYj6fpXHSx1g6hpCySC4tmNvdIdyyIcc/h396mVGlVWqs+6/yBSrUvhfMuz/zPb6K4PwV42a/kGj6y2zUU+WORuBN7H/a/nXeV5tWlKlLlkd9KrGrHmiFFFFZmgUUUUAc/4v8AEH/CP6K0sZBu5j5cAPr3b8P54rj/AA/pJtITPcZa7n+aRm5IzzjP86PENx/bXjwwE7rbT12gdi3U/qcf8BrRn1G002JJLuXy0Y7QdpOT+ArknLml6Hs06bpUVCK1lq/0RqQw57Vi+N4tnhst/wBNU/rViHxfoC/evsf9sX/wrM8X+JNG1Tw+bayu/Nn81W2+U68DOeSAKHbleoUadVVotxdr9jnvBq7vEMY/6Zv/ACrvposZrzvwrf2um62lxdyeXEEYFtpPJHoK7KbxXobZ23mf+2T/AOFRG3KdOMhOVW8U3oE6dazZ1qca5pt3MsMFxvkbgDYwz+Ypk460mTFSjpJWMi5jV1KsMg9q2vAGuvp2pHQ7p8285Jt2J+6/p9D/AD+tZM9ZV4XiaO4iYrLEwZWHUHNKMnGV0dEqarU3Tl1/M97oqlpF+uqaRaXy4/fRBiB2Pcfgc1dr0E7nzEouLaYUUUUCCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKoa1qK6Rol5ftj9xEzKD3bsPxOBTinJ2QpNRTbPP/G2qTeItfTw1ZSFbW3O+6de7Dt+H8z7VrWVnFa28cECBI0GFUVzng60YWMl/OS1xdyF2Y9SM/1OT+Nax8V6HazyQT3u2SNijjynOCDg9Fr1JwaXsqaul+fc86lKP8ao7OXft0RuxwZ7VL9n46VjxeN/DQ+9qWP+2En/AMTU/wDwnXhbH/IT/wDJeX/4msHSq/yv7mbqvR/nX3otSQ47VSmiqGXxt4ab7uo5/wC2En/xNUZfF+gN92/z/wBsZP8A4mrjSq/yv7hOvR/mX3okmTrVCZauW9/a6lA01nL5kYbaTtI54Pce4qCcda1jdOzJbTV0c7q1m0qrPASlzEdyMvB45616j4L8RjxHoSTSkC8hPl3Cj17N9CP1zXn8wpfBV8dH8crb5xb6gpQjtu6r+ox/wKrrU/a0muq1X6mEJeyqqS2ej/RnsVFFFeMeqFFFIwypHqKAPH9Al+1Xmo3zHLTzlifqSf61c8R2N1qNjBHaReYyybiMgcY96zPDLGO2mjPDLLz+Q/wrqIZa4Fqj6Kq3CrzR6HDjwprbdLE/9/E/xqG+8P6pptt9ou7UxxZC7t6nk/Q16bFNisXxpLv8PEZ/5ar/AFpuCtcqnjKsqii0tTgbOyuNQuBBax+ZKQSFyBwPrV9vDGsr1siP+2i/41P4Qbbr6H/pm38q7uabNSopo1xGJnTnyxSOE0zRtQtNTglmtyiKTk7lOOD6Gt+c9atzyVnTP1otYxdSVR3ZTmNZl0NyMPUVfmbrWdO3BqWdNNHpnw2uDN4TWMnPkTvGP0b/ANmrr64n4XoV8NXDHo12xH/fK121d9P4EfO41JYidu4UUUVZyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcX8UbkweDjGDjz7hIz7gZb/ANlrtK4P4soW8LWzDot4uf8Avh66MIr1437nNjG1QlbsQaXELewtoR0SNV/IVxOpeE9butWvJ4bLdHJO7ofNQZBYkdTXbWsgaJGHQqDWlDJXdGtKlJtdTnqYeFaKjLoeYr4G8Rt007/yPH/8VTv+EC8Tf9A3/wAjx/8AxVesxzYqb7Rx1pvH1uy/H/My/s2j3f4f5HjreBvEa9dO/wDI8f8A8VUTeDteXrYY/wC20f8A8VXr8s2e9UJpKqOOqvov6+YnltHu/wAP8jl/Den3Wm6VLBdxeXIZiwG4Hjao7H2NW5z1q7M9Z8zdanmc5czN4wUIqK6FGasW+mNnqFheqcNBOrg/Qg/0rYmNYOtAvHFGvLNJgV00lrY5sR8DPoOikAwoHpS18+eyFFFFAHjssJ0vxZqtiwwplMiD/ZJyP0YflWpFNirfxH0t4Z7XXrdc+XiKfHp/Cf1I/KsKC5WSNXU5VhkVwzXLJo+hhJVqUai+fqjdSf3rN8SCW60gxwo0j71O1Rk0iz+9Sef70rijHlkpLoc/4etLq11ZZZbeWNAjDcykDpXVST+9VDP71C81C0LqN1JczJJZaoyyUSS1UlkqWy4QGTPWbcv8h96sTSVJoelPr+vW9ioPllt0rD+FB1/w+ppJXdjpTUIuUtkereCLE2PhKxRhh5VMzf8AAjkfpiuhpERY0VEUKqjAA6AUteilZWPk6k3Um5vqFFFFMgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArmvH1gdQ8G36IuXiUTL/wABOT/47mulproskbI6hkYEMD0Iq6c+SakuhFSCnBxfU8p0C8Fzo9s+eVQI31HH9K2o5feuUS2fwx4mu9FmJELt5lux/iB6fpx9RW8ktepVir3Wz1OGhNuNnutGayze9P8AP96zFm96XzveseQ35i883vVSWXNQtN71A8tNRE5CyyVQlenyS1TlkreMTKTIpWqpp1qdV8YaVYgblEwkcf7IO4/opp1zMscbOxwoGTXUfC7R3lluvEFwmPMzDb59P4j+gH51pOfs6bn/AFc53H2k401139Eel0UUV4R7AUUUUARXVtDe2sttcIJIZVKup7g145q2lXXhTUjbThnspGJgm7Ef4+or2iqmpaZaavYvZ3sQkif81PYg9jWdSnzrzOzCYp0JWesXueRrOCAQcj1p/ne9T634N1XQHeWzD3th1yoy6D3A/mOPpWCl/G/U7T6GuOScXZnuw5Ki5oO6NYzVG03vVL7QCODmo2nqblKmWXm96qyS1BJcAfxVY0zSdT12fyrC2dxnDSHhF+p6f1oSb2NLKC5paIqAS3M6W9ujSTSEKqKMkk17D4O8Mjw9ppMwVr6fBmYc7R2UH2/nTfC/g208PL57t9ovmGGlI4X1Cjt9etdNXXSpcur3PEx2OVX93T+H8wooorc8sKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOX8beFR4j0xXttqajbfNA+cbvVSfft6H8a8803VJHkeyvUaG9hJV0YYJI/rXtdcr4r8E2niP8A0qJ/suooPlmUcNjoG/x6j36V3YbEJL2dTbo+3/AOKvQlze0p79V3/wCCcoJvel873rCu21fw7MLbWrOQLnCTryr/AEPQ/wA6lh1O2nH7uZSfQnB/Ku109LrVHPGvFuz0fZms03vULzVVM1QyThRlmAHqTQoFuRO8tVJZQASTgD1qlcatbx8K/mN6Jz+tbGieCtY8SSJNfK9hp3X5hh3HsD/M8fWtGlBc03ZGLqcz5YK7KGi6Nd+L9UFtAGSwiYGefsB7e57D8a9utLWCxtIrW2jEcMShEUdgKh0vSrPRrCOysYRHCnbux7knuauV5WJxDrOy0S2O/DYf2SvLWT3CiiiuU6QooooAKKKKACsfU/C2i6uxe7sYzKesqfI34kdfxrYopNJ7lQnKDvF2Z59qvw20y2sLq6tru6QxRNIEYqw4BOOgrjPhrosPjmxvbm7llt/s0qxhYsHdkZzk17NrX/IB1H/r2k/9BNeWfs+/8gLWP+vlP/Qaj2UOx1LH4i3xnc2Pw/8AD9kwZrZ7lh3uH3D8hgfpXSxRRwRLFDGkcajCoigAfQCn0Vailsc9StUqazbYUUUjMqDLMAM4yTTMxaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAopFZXUMrBlPQg5BpaAGTQxXETRTRpLGwwyOoYH6g1yuofDfw5fsXW2ktXPU277R+RyP0rraK0hVnT+B2M50oVPjVzwX4leHofAtjY3NnczXAuZWjKykDbgZ6iuz0r4XaVc2Vrd3V7eSGWJZCqlVHIBx0JrE/aC/5Aejf9fL/APoNeqaN/wAgLT/+vaP/ANBFbfXa/wDMY/UqH8pT0rwloejMr2enxCVeksnzuPoT0/CtqiiueU5Sd5O50RhGCtFWCiiipKCiiigAooooAKKKKACiiigCjrX/ACAdR/69pP8A0E15Z+z7/wAgLWP+vlP/AEGvU9a/5AOo/wDXtJ/6Ca8s/Z9/5AWsf9fKf+g0DPYaKwvEHjHQfC8JfVdRhhkxlYAd0rfRBz+PSvKdQ+KXirxnePpngnSpoUPBnKhpQPUk/JGPrn60CPSfF/xA0PwbARez+dekZjs4SDI3oT/dHufwzXlSJ44+MN4sjMdL0BJNykZEYweo7yMPXoD6V0vhH4MwwXP9q+LZ/wC0r923mAsWjDerseXP6fWvWI40ijWONFRFACqowAPQCgCKzge1soLd7iS4eKNUM0uN8hAxuOO5qeiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqpqlk+o6VdWUV3LaPPE0YnhxvjyOoz/n6VbooA+f47nxv8HLkRXCf2l4fL8HJMfJ7HrG3seCc9eteueE/HOieMbXfp1ztuFGZLWX5ZU/DuPcZFdDNDFcQvDPGksTgq6OoZWB7EHrXkfir4NFLwav4MujYXqNvFt5hVc+sb9VPsePcUAev0V4fpfxa8ReFbxdL8caTM+3j7QqBJceuPuuPcEfU16voPivQ/E0Al0nUYbg4y0QOJE+qnkflQB5t+0F/yA9G/6+X/APQa9U0b/kBaf/17R/8AoIryv9oL/kB6N/18v/6DXqmjf8gLT/8Ar2j/APQRQBeooooAKKKKACiiigAooooAKKKKACiiigCjrX/IB1H/AK9pP/QTXyVpXirX9C0m4s9LvprO2uZMyvEMMzAYwH6jj0Ir611r/kA6j/17Sf8AoJryb4D2ltfeGtbt7u3inge5QNHKgZW+XuDxQM8W0/7Td6qhWxOqXDtnyHEjmU++whj+Br1bT/GnxH0mzS00/wAAw2tunSOLSLhR9eG6+9dV4k+CGgaoHn0iR9KujyFX54Sf908j8DgelcomvfET4XOsOsW7appCnasjsXQD/Zl6r7Bh9BQBb/4WN8VP+hM/8pdz/wDFUf8ACxvip/0Jn/lLuf8A4qvRfCHxD0LxjEEs5jBegZeznIEg9x2Ye4/HFdXQI8P/AOFjfFT/AKEz/wApdz/8VR/wsb4qf9CZ/wCUu5/+Kr3CigDw/wD4WN8VP+hM/wDKXc//ABVH/Cxvip/0Jn/lLuf/AIqvcKKAPD/+FjfFT/oTP/KXc/8AxVH/AAsb4qf9CZ/5S7n/AOKr3CigDw//AIWN8VP+hM/8pdz/APFUf8LG+Kn/AEJn/lLuf/iq9wooA8P/AOFjfFT/AKEz/wApdz/8VR/wsb4qf9CZ/wCUu5/+Kr3CigDw/wD4WN8VP+hM/wDKXc//ABVH/Cxvip/0Jn/lLuf/AIqvcKKAPD/+FjfFT/oTP/KXc/8AxVH/AAsb4qf9CZ/5S7n/AOKr3CigDw//AIWN8VP+hM/8pdz/APFUf8LG+Kn/AEJn/lLuf/iq9wooA8P/AOFjfFT/AKEz/wApdz/8VR/wsb4qf9CZ/wCUu5/+Kr3CigDw/wD4WN8VP+hM/wDKXc//ABVH/Cxvip/0Jn/lLuf/AIqvcKKAPD/+FjfFT/oTP/KXc/8AxVH/AAsb4qf9CZ/5S7n/AOKr3CigDw//AIWN8VP+hM/8pdz/APFUf8LG+Kn/AEJn/lLuf/iq9wrjvGPxJ0LwcphnlN1qGPltICCw/wB49FH159jQB5pqnjD4ia1Ztaan4Ahurdv4JdIuDg+o+bg+4rym6e5stUd1t2024jfIijLoYj7biWH4mvVm1H4jfFRiljGdK0VzgspMcZX3f70n0HHsK7Hw38FPDmjhJtT36rdDk+b8sQPsg6/8CJ+lAzwrWPFfiDxBo9ta6tdy3dtbSExSyplgxHQvjJ49cmvrLRv+QFp//XtH/wCgivJ/j1bw2vhzQ4LeGOGFLhwscahVUbewHSvWNG/5AWn/APXtH/6CKAL1FFFAgooooAKKKKACiiigAooooAKKKKAKOtf8gHUf+vaT/wBBNeWfs+/8gLWP+vlP/Qa9T1r/AJAOo/8AXtJ/6Ca8s/Z9/wCQFrH/AF8p/wCg0DPYaa6JIjI6qyMMMrDII9DTqKBHk/jD4M213MdU8KyjTdQQ7xAGKxs3qpHKH6cfTrWV4e+LGr+Gr8aF48s51ePCi72fvFHYsBw4/wBpf1r22srXfDWj+JbaODV7GK5SNw6FhhlIOeCOQD3HegDQtrmC8tYrm2lSWCZA8ciHIZSMgg1LTURI41jjVVRQAqqMAAdhTqACiiigAooooAKKKKACiiqOqWV5ewqlnqk2nsM7nhijdj6ffBA/KgC9RXgHgrXdc1D4l3Kav4ju7jTNIFxPOzSFImSPKhio4xkg4rQ8d3nxA8Q6XFrOkRXlrokkgFva2hYXLoeksgUZwewzxxx3oA9vornPAf8AbP8AwhOmf2/5v9peWfM87/WY3Hbu/wBrbtznn15ro6ACiiigAooooAKKKKACq99fW2m2M17eTJBbQoXkkc8KBVio54IrmCSCeNZIpFKOjjIZTwQR6UAeJa78UNf8Y6g2h+BbK4RX4a6AxKw9Qeka+55+lb/gz4N2GlSLqXiJ11PUid/ltloUb1Ofvn3PHt3rv9C8PaV4bsPsWk2cdtDnLbeWc+rMeT+NadACKoVQqgAAYAHaloooA8d/aC/5Aejf9fL/APoNeqaN/wAgLT/+vaP/ANBFeV/tBf8AID0b/r5f/wBBr1TRv+QFp/8A17R/+gigC9RRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFHWv+QDqP8A17Sf+gmvLP2ff+QFrH/Xyn/oNeuzwx3FvJBKu6ORSjjOMgjBrK8PeFdG8KwTQaNZ/Zo5mDyDzXfJAx/ETQBs0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAVl+JNVXQ/DWpaoSM21u8i57sB8o/E4FaleXfHXV/sPgqHTkbEmoXAUj1RPmP/j2z86APO/hJo7+IdUu7KQMbN2jmv2P8caElYs/7b4J9oz619KgAAADAHavO/gxoA0fwJFdyJi41JzcMe+zog+mBn/gVeiUAwooooAKKKKACiiigAooooAKKKKACiiigAooooA8d/aC/5Aejf9fL/wDoNeqaN/yAtP8A+vaP/wBBFVPEPhXRfFUEMGs2f2mOFi8Y810wSMfwkVrQwx28EcES7Y41CKM5wAMCgB9FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXmHxM+HeueONbsZrS9sYLG2h2bZnffuLZYgBSOgXv2r0+igCG0tYrGygtIF2wwRrFGvoqjAH5CpqKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD//Z
Two point charges, \( q_1 = +25\,\text{nC} \) and \( q_2 = -75\,\text{nC} \), are separated by a distance \( r = 3.0\,\text{cm} \). Find the magnitude of the electric force that \( q_1 \) exerts on \( q_2 \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 0.63N B: 0.0187N C: 0.019N D: 0.028N
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning']
[ 0.03466796875, 0.016357421875, -0.01611328125, -0.01239013671875, -0.00665283203125, 0.0257568359375, -0.0247802734375, -0.0164794921875, -0.029296875, 0.00811767578125, -0.012451171875, 0.0400390625, -0.0120849609375, 0.002197265625, 0.00201416015625, -0.00787353515625, -0.015136718...
993
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
When the terminals of a battery are connected to two parallel conducting plates with a small gap between them, the resulting charges on the plates produce a nearly uniform electric field between the plates. If the plates are connected to a battery as shown, the field is vertically upward and has magnitude \( 1.00 \times 10^4\,\text{N/C} \). How long does it take to travel this distance?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 3.4 \times 10^{-7}\, \text{s} B: 3.4 \times 10^{-9}\, \text{s} C: 1.7 \times 10^{-9}\, \text{s} D: 5.9 \times 10^{-9}\, \text{s}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Multi-Formula Reasoning']
[ 0.02294921875, 0.0087890625, -0.00836181640625, -0.003448486328125, -0.008544921875, 0.026611328125, -0.007354736328125, -0.009765625, -0.0166015625, 0.01263427734375, -0.01092529296875, 0.01263427734375, -0.0238037109375, -0.0004215240478515625, 0.007476806640625, -0.007568359375, -...
994
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
Point charges \( q_1 \) and \( q_2 \) are separated by a certain distance. (Such pairs of point charges with equal magnitude and opposite sign are called \textit{electric dipoles}.) Compute the total field at point \( c \).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: (6.39 \times 10^3\, \text{N/C})\hat{\mathbf{i}} B: (4.9 \times 10^3\, \text{N/C})\hat{\mathbf{i}} C: (8.78 \times 10^3\, \text{N/C})\hat{\mathbf{i}} D: (5.3 \times 10^3\, \text{N/C})\hat{\mathbf{j}}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.034423828125, 0.01458740234375, -0.0159912109375, -0.01495361328125, -0.01348876953125, 0.0245361328125, -0.01470947265625, -0.0023040771484375, -0.03662109375, -0.0040283203125, -0.0213623046875, 0.0189208984375, -0.0045166015625, -0.006072998046875, 0.020263671875, 0.0179443359375,...
995
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
Charge \( Q \) is uniformly distributed around a conducting ring of radius \( a \). Find the electric field at a point \( P \) on the ring axis at a distance \( x \) from its center.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{1}{4\pi\varepsilon_0} \frac{Qa}{(x^2 + a^2)^{3/2}} \hat{i} B: \frac{1}{4\pi\varepsilon_0} \frac{Qx}{(x^2 + a^2)^{3/2}} \hat{i} C: \frac{1}{4\pi\varepsilon_0} \frac{Qx}{(x^2 + a^2)^{1/2}} \hat{i} D: \frac{1}{4\pi\varepsilon_0} \frac{Q}{(x^2 + a^2)} \hat{i}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.000606536865234375, -0.00994873046875, -0.004150390625, 0.000514984130859375, -0.01458740234375, 0.0108642578125, -0.020751953125, -0.014892578125, -0.01312255859375, -0.002838134765625, -0.03271484375, 0.040283203125, -0.004852294921875, -0.00830078125, 0.0213623046875, -0.003265380...
996
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
Figure shows an electric dipole in a uniform electric field of magnitude \( 5.0 \times 10^5\,\text{N/C} \) that is directed parallel to the plane of the figure. The charges are \( \pm 1.6 \times 10^{-19}\,\text{C} \); both lie in the plane and are separated by \( 0.125\,\text{m} \). Find the magnitude of the torque.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 2.0 \times 10^{-29}\text{N} \cdot \text{m} B: 5.7 \times 10^{-24} \, \text{N} \cdot \text{m} C: 8.2 \times 10^{-24}\text{J} D: 5.7 \times 10^{-24}\text{N/C}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.02197265625, 0.00421142578125, -0.007171630859375, -0.01190185546875, -0.0089111328125, 0.024169921875, -0.0296630859375, -0.01422119140625, -0.0286865234375, 0.006439208984375, -0.0179443359375, 0.037109375, -0.0019989013671875, 0.0040283203125, -0.00037384033203125, -0.00439453125,...
997
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
An electric dipole is centered at the origin, with \( \vec{p} \) in the direction of the \( +y \)-axis. Derive an approximate expression for the electric field at a point \( P \) on the \( y \)-axis for which \( y \) is much larger than \( d \). To do this, use the binomial expansion \( (1 + x)^n \approx 1 + nx + n(n - 1)x^2/2 + \dots \) (valid for the case \( |x| < 1 \)).Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: \frac{p}{4\pi\epsilon_0 y^3} B: \frac{p}{2\pi\epsilon_0 y^3} C: \frac{p}{2\pi\epsilon_0 y^2} D: \frac{2p}{2\pi\epsilon_0 y^3}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Numerical Reasoning']
[ 0.00634765625, -0.00543212890625, -0.0078125, -0.0164794921875, -0.0106201171875, 0.018310546875, -0.01953125, -0.0150146484375, -0.0220947265625, -0.00921630859375, -0.024658203125, 0.02587890625, -0.003448486328125, -0.00176239013671875, 0.0091552734375, 0.0064697265625, -0.0150146...
998
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
A disk is oriented with its normal unit vector \( \hat{n} \) at an angle to a uniform electric field \( \vec{E} \). (Since this isn't a closed surface, it has no “inside” or “outside.” That's why we have to specify the direction of \( \hat{n} \) in the figure.) What is the electric flux through the disk?Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: 108 \, \text{N} \cdot \text{m}^2 / \text{C} B: 54 \, \text{N} \cdot \text{m}^2 / \text{C} C: 58 \, \text{N/C} D: 60 \, \text{N} \cdot \text{m}^2 / \text{C}
B
Electromagnetism
Electrostatics
['Physical Model Grounding Reasoning', 'Spatial Relation Reasoning']
[ 0.038330078125, 0.01446533203125, -0.0257568359375, -0.0159912109375, -0.0206298828125, 0.00897216796875, -0.03076171875, -0.0167236328125, -0.041259765625, 0.00665283203125, -0.00860595703125, 0.02587890625, 0.0002498626708984375, -0.01953125, 0.015380859375, 0.00933837890625, -0.01...
999
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
An imaginary cubical surface of side \( L \) is in a region of uniform electric field \( E \). Find the electric flux through each face of the cube and the total flux through the cube when the cube is turned by an angle \( heta \) about a vertical axis.Please directly answer the question and provide the correct OPTION LETTER ONLY, e.g., A, B, C, D. OPTION: A: EA \cos \theta B: 0 C: 6EA \cos \theta D: EA(1 - \cos \theta)
B
Electromagnetism
Electrostatics
['Spatial Relation Reasoning', 'Physical Model Grounding Reasoning']
[ 0.01409912109375, -0.0130615234375, -0.0242919921875, -0.0115966796875, -0.01263427734375, -0.000743865966796875, -0.01171875, 0.00421142578125, -0.041015625, 0.01171875, -0.0206298828125, 0.0201416015625, -0.0108642578125, 0.0020294189453125, 0.0291748046875, -0.0030059814453125, -0...