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.5×10−3 5.0×10−3 3.93×10−3 4.3×10−3 Manganin (Cu, Mn, Ni alloy) 0.000×10−3 Constantan (Cu, Ni alloy) Mercury Nichrome (Ni, Fe, Cr alloy) Semiconductors Carbon (pure) Germanium (pure) Silicon (pure) 0.002×10−3 0.89×10−3 0.4×10−3 −0.5×10−3 −50×10−3 −70×10−3 Note also that is negative for the semiconductors listed in Tabl... |
very large temperature changes. What, then, is the resistance of the tungsten filament in the previous example if its temperature is increased from room temperature ( 20ºC ) to a typical operating temperature of 2850ºC? Strategy This is a straightforward application of = 0(1 + Δ), since the original resistance of the ... |
is the rate of energy use or energy conversion, what is the expression for electric power? Power transmission lines might come to mind. We also think of lightbulbs in terms of their power ratings in watts. Let us compare a 25-W bulb with a 60-W bulb. (See Figure 20.17(a).) Since both operate on the same voltage, the 6... |
20 A, so that the circuit can deliver a maximum power = = (20 A)(12 V) = 240 W. In some applications, electric power may be expressed as volt-amperes or even kilovolt-amperes ( 1 kA ⋅ V = 1 kW ). To see the relationship of power to resistance, we combine Ohm's law with =. Substituting = gives = ( / ) = 2 /. Similarly,... |
given in Ohm's Law: Resistance and Simple Circuits and Resistance and Resistivity. Then find the power dissipated by the car headlight in these examples, both when it is hot and when it is cold. (b) What current does it draw when cold? Strategy for (a) For the hot headlight, we know voltage and current, so we can use ... |
example, the more lightbulbs burning, the greater used; the longer they are on, the greater is. The energy unit on electric bills is the kilowatt-hour ( kW ⋅ h ), consistent with the relationship =. It is easy to estimate the cost of operating electric appliances if you have some idea of their power consumption rate i... |
. Even the radiation dose of an X-ray image is related to the power and time of exposure. Example 20.8 Calculating the Cost Effectiveness of Compact Fluorescent Lights (CFL) If the cost of electricity in your area is 12 cents per kWh, what is the total cost (capital plus operation) of using a 60-W incandescent bulb for... |
Explain why something like a toaster has a higher rating than a digital clock. Estimate the energy consumed by these appliances in an average day (by estimating their time of use). Some appliances might only state the operating current. If the household voltage is 120 V, then use =. 2) Check out the total wattage used... |
and monitor what happens. Pause, rewind, and move forward in time in order to observe the ions as they move across the neuron membrane. Glossary AC current: current that fluctuates sinusoidally with time, expressed as I = I0 sin 2πft, where I is the current at time t, I0 is the peak current, and f is the frequency in ... |
is the peak current, in an AC system rms voltage: the root mean square of the voltage, rms = 0 / 2, where V0 is the peak voltage, in an AC system semipermeable: property of a membrane that allows only certain types of ions to cross it shock hazard: when electric current passes through a person short circuit: also know... |
changes Δ, resistivity is = 0(1 + Δ), where 0 is the original resistivity and α is the temperature coefficient of resistivity. • Table 20.2 gives values for, the temperature coefficient of resistivity. • The resistance of an object also varies with temperature: = 0(1 + Δ), where 0 is the original resistance, and is th... |
and other cells are created by ionic concentration differences across semipermeable membranes. • Stimuli change the permeability and create action potentials that propagate along neurons. • Myelin sheaths speed this process and reduce the needed energy input. • This process in the heart can be measured with an electro... |
object encounter different resistance? 11. If aluminum and copper wires of the same length have the same resistance, which has the larger diameter? Why? 12. Explain why = 0(1 + Δ) for the temperature variation of the resistance of an object is not as accurate as = 0(1 + Δ), which gives the temperature variation of res... |
from the sharp edge of the scalpel? Do you think high- or low-frequency AC is used? 24. Some devices often used in bathrooms, such as hairdryers, often have safety messages saying “Do not use when the bathtub or basin is full of water.” Why is this so? 25. We are often advised to not flick electric switches with wet h... |
. What was its duration? 6. The 200-A current through a spark plug moves 0.300 mC of charge. How long does the spark last? 7. (a) A defibrillator sends a 6.00-A current through the chest of a patient by applying a 10,000-V potential as in the figure below. What is the resistance of the path? (b) The defibrillator paddl... |
a) How many He++ nuclei per second is this? (b) How long does it take for 1.00 C to strike the target? (c) How long before 1.00 mol of He++ nuclei strike the target? nuclei onto a 14. Repeat the above example on Example 20.3, but for a wire made of silver and given there is one free electron per silver atom. 15. Using ... |
is the effect on the appliance? 23. A power transmission line is hung from metal towers with glass insulators having a resistance of 1.00109 Ω. What current flows through the insulator if the voltage is 200 kV? (Some high-voltage lines are DC.) low temperatures. Discuss why and whether this is the case here. (Hint: Re... |
their resistance increase over this range? 33. (a) Of what material is a wire made, if it is 25.0 m long with a 0.100 mm diameter and has a resistance of 77.7 Ω at 20.0ºC? (b) What is its resistance at 150ºC? 34. Assuming a constant temperature coefficient of resistivity, what is the maximum percent decrease in the re... |
3.00 V? 44. Find the power dissipated in each of these extension cords: (a) an extension cord having a 0.0600 - Ω resistance and through which 5.00 A is flowing; (b) a cheaper cord utilizing thinner wire and with a resistance of 0.300 Ω. 45. Verify that the units of a volt-ampere are watts, as implied by the equation ... |
? 62. Integrated Concepts How much time is needed for a surgical cauterizer to raise the temperature of 1.00 g of tissue from 37.0ºC to 100ºC and then boil away 0.500 g of water, if it puts out 2.00 mA at 15.0 kV? Ignore heat transfer to the surroundings. 63. Integrated Concepts Hydroelectric generators (see Figure 20.... |
.0 W, due to evaporative thinning of its filament. By what factor is its diameter reduced, assuming uniform thinning along its length? Neglect any effects caused by temperature differences. 58. 00-gauge copper wire has a diameter of 9.266 mm. Calculate the power loss in a kilometer of such wire when it carries 1.00×102... |
assumptions are unreasonable, or which premises are inconsistent? 71. Construct Your Own Problem Consider an electric immersion heater used to heat a cup of water to make tea. Construct a problem in which you calculate the needed resistance of the heater so that it increases the temperature of the water and cup in a r... |
.47 This REVAi, an electric car, gets recharged on a street in London. (credit: Frank Hebbert) 65. Integrated Concepts A light-rail commuter train draws 630 A of 650-V DC electricity when accelerating. (a) What is its power consumption rate in kilowatts? (b) How long does it take to reach 20.0 m/s starting from rest if... |
Problem Consider a person working in an environment where electric currents might pass through her body. Construct a problem in which you calculate the resistance of insulation needed to protect the person from harm. Among the things to be considered are the voltage to which the person might be exposed, likely body re... |
2, is needed if the operating temperature is 500º C? (c) What power will it draw when first switched on? 83. Find the time after = 0 when the instantaneous voltage of 60-Hz AC first reaches the following values: (a) 0 / 2 (b) 0 (c) 0. 84. (a) At what two times in the first period following = 0 does the instantaneous vo... |
. The number of protons leaving the battery will be less than the number of protons entering the battery. 2. When a battery is connected to a bulb, there is 2.5 A of current in the circuit. What amount of charge will flow though the circuit in a time of 0.5 s? a. 0.5 C b. 1 C c. 1.25 C d. 1.5 C 3. If 0.625 × 1020 elect... |
does not change. 20.4 Electric Power and Energy 6. The table below gives the voltages and currents recorded across a resistor. 14. Table 20.4 Voltage (V) 2.50 5.00 7.50 10.00 12.50 Current (A) 0.69 1.38 2.09 2.76 3.49 a. Plot the graph and comment on the shape. b. Calculate the value of the resistor. 7. What is the re... |
lights while others are extremely complex, such as those used in supercomputers. This chapter takes the topic of electric circuits a step beyond simple circuits by addressing both changes that result from interactions between systems (Big Idea 4) and constraints on such changes due to laws of conservation (Big Idea 5).... |
f, resistors, and capacitors. Big Idea 5 Changes that occur as a result of interactions are constrained by conservation laws. Enduring Understanding 5.B The energy of a system is conserved. Essential Knowledge 5.B.9 Kirchhoff’s loop rule describes conservation of energy in electrical circuits. Enduring Understanding 5.... |
.2, 5.1) • 5.B.9.3 The student is able to apply conservation of energy (Kirchhoff’s loop rule) in calculations involving the total electric potential difference for complete circuit loops with only a single battery and resistors in series and/or in, at most, one parallel branch. (S.P. 2.2, 6.4, 7.2) Most circuits have ... |
the equation =, where equals the current in amps (A) and is the resistance in ohms ( Ω ). Another way to think of this is that is the voltage necessary to make a current flow through a resistance. So the voltage drop across 1 is 1 = 1, that across 2 is 2 = 2, and that across 3 is 3 = 3. The sum of these voltages equal... |
a Series Circuit Suppose the voltage output of the battery in Figure 21.3 is 12.0 V, and the resistances are 1 = 1.00 Ω, 2 = 6.00 Ω, and 3 = 13.0 Ω. (a) What is the total resistance? (b) Find the current. (c) Calculate the voltage drop in each resistor, and show these add to equal the voltage output of the source. (d)... |
= (0.600 A)2(1.00 Ω ) = 0.360 W. 2 = 22 = (0.600 A)2(6.00 Ω ) = 2.16 W 3 = 23 = (0.600 A)2(13.0 Ω ) = 4.68 W. (21.12) (21.13) (21.14) Discussion for (d) Power can also be calculated using either = or = 2 full voltage of the source). The same values will be obtained. Strategy and Solution for (e), where is the voltage ... |
21.4(b).) 918 Chapter 21 | Circuits, Bioelectricity, and DC Instruments Figure 21.4 (a) Three resistors connected in parallel to a battery and the equivalent single or parallel resistance. (b) Electrical power setup in a house. (credit: Dmitry G, Wikimedia Commons) To find an expression for the equivalent parallel res... |
) The total resistance for a parallel combination of resistors is found using the equation below. Entering known values gives.00 Ω + 1 6.00 Ω + 1 13.0 Ω. Thus, 1 p = 1.00 Ω + 0.1667 Ω + 0.07692 Ω = 1.2436 Ω. (Note that in these calculations, each intermediate answer is shown with an extra digit.) We must invert this to... |
(12.0 V)2 6.00 Ω = 24.0 W 3 = 2 3 = (12.0 V)2 13.0 Ω = 11.1 W. Similarly, and Discussion for (d) (21.29) (21.30) (21.31) The power dissipated by each resistor is considerably higher in parallel than when connected in series to the same voltage source. Strategy and Solution for (e) The total power can also be calculate... |
the most instructive, since it is found in many applications. For example, 1 could be the resistance of wires from a car battery to its electrical devices, which are in parallel. 2 and 3 could be the starter motor and a passenger compartment light. We have previously assumed that wire resistance is negligible, but, wh... |
A. Entering this into the expression above, we get 1 = = (2.35 A)(1.00 Ω ) = 2.35 V. Discussion for (b) (21.38) (21.39) (21.40) The voltage applied to 2 and 3 is less than the total voltage by an amount 1. When wire resistance is large, it can significantly affect the operation of the devices represented by 2 and 3. S... |
in the wires can also be significant. For example, when you are rummaging in the refrigerator and the motor comes on, the refrigerator light dims momentarily. Similarly, you can see the passenger compartment light dim when you start the engine of your car (although this may be due to resistance inside the battery itse... |
total parallel resistance should be smaller, for example. Power should be greater for the same devices in parallel compared with series, and so on. 21.2 Electromotive Force: Terminal Voltage By the end of this section, you will be able to: Learning Objectives 924 Chapter 21 | Circuits, Bioelectricity, and DC Instrumen... |
; it is a special type of potential difference. To be precise, the electromotive force (emf) is the potential difference of a source when no current is flowing. Units of emf are volts. Figure 21.8 A variety of voltage sources (clockwise from top left): the Brazos Wind Farm in Fluvanna, Texas (credit: Leaflet, Wikimedia... |
−, terminal voltage equals emf only if there is no current flowing. The internal resistance can behave in complex ways. As noted, increases as a battery is depleted. But internal resistance may also depend on the magnitude and direction of the current through a voltage source, its temperature, and even its history. Th... |
onto the anode of a cell and two electrons being removed from the cathode of the cell. The chemical reaction in a lead-acid battery places two electrons on the anode and removes two from the cathode. It requires a closed circuit to proceed, since the two electrons must be supplied to the cathode. Why are the chemicals... |
org/content/col11844/1.13 Chapter 21 | Circuits, Bioelectricity, and DC Instruments 927 Example 21.4 Calculating Terminal Voltage, Power Dissipation, Current, and Resistance: Terminal Voltage and Load A certain battery has a 12.0-V emf and an internal resistance of 0.100 Ω. (a) Calculate its terminal voltage when conne... |
A)2(0.500 Ω) = 2.00×102 W. (21.50) Discussion for (c) Note that this power can also be obtained using the expressions 2 this case). Solution for (d) or, where is the terminal voltage (10.0 V in Here the internal resistance has increased, perhaps due to the depletion of the battery, to the point where it is as great as... |
5 Ω and emf will be equal to 6 V. Figure 21.14 Battery testers, such as those in Figure 21.15, use small load resistors to intentionally draw current to determine whether the terminal voltage drops below an acceptable level. They really test the internal resistance of the battery. If internal resistance is high, the ba... |
. The disadvantage of series connections of cells is that their internal resistances add. One of the authors once owned a 1957 MGA that had two 6-V batteries in series, rather than a single 12-V battery. This arrangement produced a large internal resistance that caused him many problems in starting the engine. Figure 2... |
. Is the flashlight still quite bright? Do the same with the old batteries. Is the flashlight as bright when left on for the same length of time with old and new batteries? What does this say for the case when you are limited in the number of available new batteries? Figure 21.21 shows two voltage sources with identica... |
the cell membrane. Within the fish, weak electric fields in the water produce a current in a gel-filled canal that runs from the skin to sensing cells, producing a nerve signal. The Australian platypus, one of the very few mammals that lay eggs, can detect fields of 30 mV m, while sharks have been found to be able to ... |
and/or parallel can model the required array output. Assume each card has an output of 0.5 V and a current (under bright light) of 2 A. Using your cards, how would you arrange them to produce an output of 6 A at 3 V (18 W)? Suppose you were told that you needed only 18 W (but no required voltage). Would you need more ... |
3.1 The student is able to apply conservation of electric charge (Kirchhoff’s junction rule) to the comparison of electric current in various segments of an electrical circuit with a single battery and resistors in series and in, at most, one parallel branch and predict how those values would change if configurations o... |
analyze it. (Note: The script E in the figure represents electromotive force, emf.) Kirchhoff’s Rules • Kirchhoff’s first rule—the junction rule. The sum of all currents entering a junction must equal the sum of all currents leaving the junction. • Kirchhoff’s second rule—the loop rule. The algebraic sum of changes in... |
ways in which energy can be transferred into or out of the circuit. Figure 21.25 illustrates the changes in potential in a simple series circuit loop. Kirchhoff’s second rule requires emf − − 1 − 2 = 0. Rearranged, this is emf = + 1 + 2, which means the emf equals the sum of the (voltage) drops in the loop. Figure 21.... |
term in the equation, which is like multiplying both sides of the equation by –1. Figure 21.26 and the following points will help you get the plus or minus signs right when applying the loop rule. Note that the resistors and emfs are traversed by going from a to b. In many circuits, it will be necessary to construct m... |
us to solve for the three unknown currents. Solution We begin by applying Kirchhoff’s first or junction rule at point a. This gives 1 = 2 + 3, (21.54) since 1 flows into the junction, while 2 and 3 flow out. Applying the junction rule at e produces exactly the same equation, so that no new information is obtained. Thi... |
6 1 = 28.5, and 1 = 4.75 A. Substituting this value for 1 back into the fourth equation gives.50 2 = −3.50 A. The minus sign means 2 flows in the direction opposite to that assumed in Figure 21.27. Finally, substituting the value for 1 into the fifth equation gives 3 = 22.5−3 1 = 22.5 − 14.25 3 = 8.25 A. (21.58) (21.5... |
Check to see that the values obtained satisfy the various equations obtained from applying the rules. The currents should satisfy the junction rule, for example. The material in this section is correct in theory. We should be able to verify it by making measurements of current and voltage. In fact, some of the devices... |
R2 = 9.6 Ω ± 1.04% We now find the currents for the two loops. While the voltage is divided by the resistance to find the current, uncertainties in voltage and resistance are directly added to find the uncertainty in the current value. I1 = (6.00/4.8) ± (0.33%+2.08%) = 1.25 ± 2.4% = 1.25 ± 0.03 A I2 = (6.00/9.6) ± (0.... |
in series with whatever device’s current is to be measured. A series connection is used because objects in series have the same current passing through them. (See Figure 21.31, where the ammeter is represented by the symbol A.) This content is available for free at http://cnx.org/content/col11844/1.13 Chapter 21 | Cir... |
either a voltmeter or ammeter that can measure a broad range of voltages or currents. (25 Ω) = 1.25 mV produces a 50 μA Galvanometer as Voltmeter Figure 21.32 shows how a galvanometer can be used as a voltmeter by connecting it in series with a large resistance,. The value of the resistance is determined by the maximu... |
= G so that = G =. Solving for, and noting that G is 50 μA and is 0.999950 A, we have = G = (25 Ω ) 50 μA 0.999950 A = 1.2510−3 Ω. (21.70) Figure 21.33 A small shunt resistance placed in parallel with a galvanometer G produces an ammeter, the full-scale deflection of which depends on the choice of. The larger the curr... |
as the device ( Voltmeter ≅ ), so that the parallel resistance is half of what it is when the voltmeter is not connected. This is an example of a significant alteration of the circuit and is to be avoided. An ammeter is placed in series in the branch of the circuit being measured, so that its resistance adds to that b... |
smaller particles, measurement alters the system in a manner that cannot be made arbitrarily small. This actually limits knowledge of the system—even limiting what nature can know about itself. We shall see profound implications of this when the Heisenberg uncertainty principle is discussed in the modules on quantum m... |
that gives a readout in a digital form electromotive force (emf): the potential difference of a source of electricity when no current is flowing; measured in volts full-scale deflection: the maximum deflection of a galvanometer needle, also known as current sensitivity; a galvanometer with a full-scale deflection of 5... |
circuit, measured in volts potentiometer: a null measurement device for measuring potentials (voltages) RC circuit: a circuit that contains both a resistor and a capacitor resistance: causing a loss of electrical power in a circuit resistor: a component that provides resistance to the current flowing through an electr... |
affects the output voltage when a current flows. • The voltage output of a device is called its terminal voltage and is given by = emf −, where is the electric current and is positive when flowing away from the positive terminal of the voltage source. 952 Chapter 21 | Circuits, Bioelectricity, and DC Instruments • Whe... |
is =. • When an initially uncharged ( 0 = 0 at = 0 ) capacitor in series with a resistor is charged by a DC voltage source, the voltage rises, asymptotically approaching the emf of the voltage source; as a function of time, = emf(1 − − / )(charging). • Within the span of each time constant, the voltage rises by 0.632 ... |
your body, would you prefer to be in series or parallel with a resistance, such as the heating element of a toaster, if shocked by it? Explain. 7. Would your headlights dim when you start your car’s engine if the wires in your automobile were superconductors? (Do not neglect the battery’s internal resistance.) Explain... |
a store shelf are rated at 600 and 850 “cold cranking amps.” Which has the smallest internal resistance? 17. What are the advantages and disadvantages of connecting batteries in series? In parallel? 18. Semitractor trucks use four large 12-V batteries. The starter system requires 24 V, while normal operation of the tr... |
; (e) across 2 and 3. Note that there may be more than one answer to each part. Figure 21.52 27. To measure currents in Figure 21.52, you would replace a wire between two points with an ammeter. Specify the points between which you would place an ammeter to measure the following: (a) the total current; (b) the current... |
Instruments 35. When discharging a capacitor, as discussed in conjunction with Figure 21.42, how long does it take for the voltage on the capacitor to reach zero? Is this a problem? 36. Referring to Figure 21.41, draw a graph of potential difference across the resistor versus time, showing at least two intervals of. A... |
15-A, 120-V circuit. (The three devices are in parallel when plugged into the same socket.). (a) What current is drawn by each device? (b) Will this combination blow the 15-A fuse? 5. Your car’s 30.0-W headlight and 2.40-kW starter are ordinarily connected in parallel in a 12.0-V system. What power would one headlight... |
in the Problem-Solving Strategies for Series and Parallel Resistors. Figure 21.54 High-voltage (240-kV) transmission line carrying 5.00×102 A is hung from a grounded metal transmission tower. The row of ceramic insulators provide 1.00×109 Ω of resistance each. 11. Show that if two resistors 1 and 2 are combined and on... |
Ω? (b) How much 958 Chapter 21 | Circuits, Bioelectricity, and DC Instruments represent the situation. (b) If the internal resistance of the power supply is 2000 Ω, what is the current through his body? (c) What is the power dissipated in his body? (d) If the power supply is to be made safe by increasing its internal ... |
. 32. Apply the loop rule to loop aedcba in Figure 21.27. 33. Verify the second equation in Example 21.5 by substituting the values found for the currents 1 and 2. 34. Verify the third equation in Example 21.5 by substituting the values found for the currents 1 and 3. 35. Apply the junction rule at point a in Figure 21... |
.200 Ω. (d) Does this difference seem significant, considering that the radio’s effective resistance is lowered when its volume is turned up? 23. An automobile starter motor has an equivalent resistance of 0.0500 Ω and is supplied by a 12.0-V battery with a 0.0100-Ω internal resistance. (a) What is the current to the m... |
-μA sensitivity (the same as the one discussed in the text) to allow it to be used as a voltmeter with a 3000-V full-scale reading. Include a circuit diagram with your solution. 46. Find the resistance that must be placed in parallel with a 25.0-Ω galvanometer having a 50.0-μA sensitivity (the same as the one discussed... |
Ω galvanometer. What is the sensitivity of the galvanometer? 53. A 1.00-MΩ voltmeter is placed in parallel with a 75.0-k Ω resistor in a circuit. (a) Draw a circuit diagram of the connection. (b) What is the resistance of the combination? (c) If the voltage across the combination is kept the same as it was across the 7... |
-Ω resistor in a circuit. (a) Draw a circuit diagram of the connection. (b) Calculate the resistance of the combination. (c) If the voltage is kept the same across the combination as it was through the 10.00-Ω resistor alone, what is the percent decrease in current? (d) If the current is kept the same through the combi... |
, and balances when s is 15.0 Ω for a standard 3.000-V emf? (b) The same emfx is placed in the same potentiometer, which now balances when s is 15.0 Ω for a standard emf of 3.100 V. At what resistance x will the potentiometer balance? 62. Suppose you want to measure resistances in the range from 10.0 Ω to 10.0 kΩ using... |
constant? 69. A heart defibrillator being used on a patient has an time constant of 10.0 ms due to the resistance of the patient and the capacitance of the defibrillator. (a) If the defibrillator has an 8.00-μF capacitance, what is the resistance of the path through the patient? (You may neglect the capacitance of the... |
pF capacitor through a 75.0-M Ω resistor to 90.0% of its final voltage. 74. Integrated Concepts If you wish to take a picture of a bullet traveling at 500 m/s, then a very brief flash of light produced by an discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one constant is acceptable,... |
to the circuit will result in an increase in the current at point P? Select two answers. a. Reversing the connections to the 14 V battery. b. Removing the 2 V battery and connecting the wires to close the left loop. c. Rearranging the resistors so all three are in series. d. Removing the branch containing resistor Z. ... |
A and B – with the same emfs but different internal resistances, i.e., the internal resistance of Source A is lower than Source B. If they both supply the same current in their circuits, which of the following statements is true? a. External resistance in Source A’s circuit is more than Source B’s circuit. b. External... |
R1 is 0.5 A and R3 is 0.6 A. Based on your knowledge of Kirchoff’s laws, confirm which of the following statements are true. a. The measured current for R1 is correct but for R3 is incorrect. b. The measured current for R3 is correct but for R1 is incorrect. c. Both the measured currents are correct. d. Both the measu... |
I3 = -2 A, I2 will be equal to a. 3 A -3 A b. c. 7 A -7 A d. 10. a. Figure 21.63 b. Figure 21.64 964 Chapter 21 | Circuits, Bioelectricity, and DC Instruments Figure 21.68 In an experiment this circuit is set up. Three ammeters are used to record the currents in the three vertical branches (with R1, R2, and E). The re... |
? b. After full charging, this capacitor is connected in series to another resistor, R2 = 1 kΩ. What will be the current in the circuit as soon as it’s connected? Draw a circuit diagram and show the direction of current. How long will it take for the capacitor voltage to reach 3.24 V? Figure 21.70 In this circuit, assu... |
10.012 937 11.009 305 11.011 432 12.000 000 13.003 355 14.003 241 13.005 738 14.003 074 15.000 108 15.003 065 15.994 915 17.999 160 18.000 937 Atomic Mass (u) 1.008 665 Percent Abundance or Decay Mode − Half-life, t1/2 10.37 min 1.007 825 99.985% 2.014 102 0.015% − 12.33 y 1.38×10−4% ≈100% 7.5% 92.5% EC 100% 19.9% 80.... |
955 910 47.947 947 50.943 962 51.940 509 − 75.77% 24.23% 99.60% 93.26% 100% 73.8% 99.75% 83.79% 100% 0.0117%, EC, − 1.28×109 y 39.962 591 96.94% 55Mn 54.938 047 5.271 y 56Fe 59Co 60Co 58Ni 60Ni 63Cu 65Cu 64Zn 66Zn 69Ga 55.934 939 91.72% 58.933 198 59.933 819 57.935 346 59.930 788 62.939 598 64.927 793 63.929 145 65.926... |
Palladium Silver Cadmium Indium Tin Antimony Tellurium Iodine Xenon 72 74 75 80 79 84 85 86 88 90 89 90 90 93 98 98 102 103 106 107 109 114 115 120 121 130 127 131 132 136 72Ge 74Ge 75As 80Se 79Br 84Kr 85Rb 86Sr 88Sr 90Sr 89Y 90Y 90Zr 93Nb 98Mo 98Tc 102Ru 103Rh 106Pd 107Ag 109Ag 114Cd 115In 120Sn 121Sb 130Te 127I 131I... |
26.7% 52.2% 157.924 099 24.84% 2.06 y 17.7 y 158.925 342 163.929 171 164.930 319 165.930 290 169Tm 168.934 212 174Yb 175Lu 180Hf 181Ta 173.938 859 174.940 770 179.946 545 180.947 992 184W 183.950 928 100% 28.2% 100% 33.6% 100% 31.8% 97.41% 35.10% 99.98% 30.67% 187Re 191Os 192Os 191Ir 193Ir 195Pt 197Au 198Au 199Hg 186.... |
570 223.019 733 226.025 402 227.027 750 228.028 715 29.86% 70.48% 24.1% 22.1% 52.4% − − − 100% − − − − 22.3 y 36.1 min 10.64 h 2.14 min 138.38 d 1.6 s 3.82 d 21.8 min 1.60×103y 21.8 y 1.91 y 232.038 054 100%, 1.41×1010y 231.035 880 233.039 628 235.043 924 0.720%, 236.045 562 238.050 784 99.2745%, 239.054 289 239.052 9... |
ED RADIOACTIVE ISOTOPES Decay modes are, −, + would + are roughly one-half the maxima. decay. IT is a transition from a metastable excited state. Energies for ±, electron capture (EC) and isomeric transition (IT). EC results in the same daughter nucleus as decays are the maxima; average energies Table B1 Selected Radio... |
100% 100% ≈100% 85% 35% 32% 25% 95% 25% 65% 24% ≈100% 0.0733 100% 0.186 100% ≈100% s numerous <0.400% s s 23% 77% 11% 15% 73% 0.050 23% numerous <0.250% 7.5×10−5 0.013 0.052 73% 15% 10% 86Rb 18.8 d 85Sr 90Sr 90Y 99mTc 113mIn 123I 131I 64.8 d 28.8 y 64.1 h 6.02 h 99.5 min 13.0 h 8.040 d − s EC − − IT IT EC − s 129Cs 32... |
Powers of Ten and Their Symbols • Table C5, The Greek Alphabet • Table C6, SI units • Table C7, Selected British Units • Table C8, Other Units • Table C9, Useful Formulae Table C1 Important Constants [1] Symbol Meaning Best Value Approximate Value σ ε0 μ0 Speed of light in vacuum Gravitational constant Avogadro’s numb... |
21777(74)×10−27kg 1.6726×10−27kg 1. Stated values are according to the National Institute of Standards and Technology Reference on Constants, Units, and Uncertainty, www.physics.nist.gov/cuu (http://www.physics.nist.gov/cuu) (accessed May 18, 2012). Values in parentheses are the uncertainties in the last digits. Number... |
Chi Ρ Psi Χ Ψ Zeta Ζ Mu Μ Sigma Σ Omega Ω This content is available for free at http://cnx.org/content/col11844/1.13 Appendix C 1543 Table C6 SI Units Entity Abbreviation Name Fundamental units Length Mass Time Current Supplementary unit Angle Derived units Force Energy Power Pressure m kg s A rad meter kilogram secon... |
: 2×1031 if an average human lifetime is taken to be about 70 years. 33 Sample answer: 50 atoms 35 Sample answers: (a) 1012 cells/hummingbird (b) 1016 cells/human Chapter 2 Problems & Exercises 1 (a) 7 m (b) 7 m (c) +7 m 3 (a) 13 m (b) 9 m (c) +9 m 5 (a) 3.0×104 m/s (b) 0 m/s 7 2×107 years 9 34.689 m/s = 124.88 km/h 11... |
m/s2 (b) 162 m/s (c) > max, because the assumption of constant acceleration is not valid for a dragster. A dragster changes gears, and would have a greater acceleration in first gear than second gear than third gear, etc. The acceleration would be 1560 Answer Key greatest at the beginning, so it would not be accelerat... |
57 (a) 305 m (b) 262 m, -29.2 m/s (c) 8.91 s 59 (a) 115 m/s (b) 5.0 m/s2 61 63 Figure 2.63. 65 (a) 6 m/s (b) 12 m/s (c) 3 m/s2 (d) 10 s Test Prep for AP® Courses 1 (a) 3 a. Use tape to mark off two distances on the track — one for cart A before the collision and one for the combined carts after the collision. Push car... |
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