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| "title": "Electromagnetic Induction - വൈദ്യുതകാന്തിക പ്രേരണം", |
| "student_level_summary": "A changing magnetic field near a coil induces an electric current in the coil without direct contact. This is the principle behind generators, transformers, and induction cooktops.", |
| "must_learn_first": [ |
| "Magnetic field (B) and magnetic flux (Φ = BA cosθ)", |
| "Ohm's law: V = IR", |
| "Relation between current and magnetic field (right-hand rule)" |
| ], |
| "simple_explanation": "When a magnet moves through a coil, the coil experiences a change in magnetic flux, which creates an induced emf. This emf drives a current that opposes the motion of the magnet (Lenz's Law). The faster the change, the larger the induced emf. This is how generators produce electricity and transformers change voltage.", |
| "key_points": [ |
| "Faraday's 1st law: A change in magnetic flux through a coil induces an emf.", |
| "Faraday's 2nd law: Induced emf is directly proportional to rate of change of flux. Formula: ε = –dΦ/dt [SI: Volt (V)]", |
| "Lenz's law: Induced current opposes the cause that produces it; ensures conservation of energy.", |
| "Motional emf: When a conductor moves perpendicular to B, ε = Blv [SI: V].", |
| "Self-inductance: Coil opposes change in its own current; ε = –L(dI/dt) [L in Henry (H)].", |
| "Mutual inductance: two coils; ε₂ = –M(dI₁/dt) [M in Henry (H)].", |
| "Transformer: Vs/Vp = Ns/Np = Ip/Is; step-up if Ns > Np; step-down if Ns < Np.", |
| "AC generator: ε = NBAω sin(ωt); peak emf ε₀ = NBAω.", |
| "Eddy currents: induced currents in bulk metal; reduced by lamination; used in braking and heating." |
| ], |
| "important_definitions": [ |
| "Magnetic flux: The total magnetic field passing through a given area. Φ = B·A·cosθ, SI unit weber (Wb).", |
| "Faraday's first law of electromagnetic induction: Whenever the magnetic flux linked with a coil changes, an emf is induced in the coil.", |
| "Faraday's second law: The induced emf is directly proportional to the rate of change of magnetic flux. ε = –dΦ/dt", |
| "Lenz's law: The direction of induced current is such that it opposes the cause that produced it.", |
| "Self-inductance: The property of a coil by which it opposes any change in the current flowing through it. ε = –L(dI/dt), unit henry (H).", |
| "Mutual inductance: The property by which a change in current in one coil induces an emf in a nearby coil. ε₂ = –M(dI₁/dt)" |
| ], |
| "formulas": [ |
| "Faraday's law: ε = –dΦ/dt [SI: volt (V)]; condition: any change in flux.", |
| "Motional emf: ε = Blv [V]; condition: conductor of length l moves perpendicular to uniform B field with velocity v.", |
| "Self-inductance: ε = –L(dI/dt) [L in henry (H)]; condition: for a single coil.", |
| "Energy in inductor: U = ½LI² [J]", |
| "Mutual inductance: ε₂ = –M(dI₁/dt) [M in H]", |
| "Transformer relation: Vs/Vp = Ns/Np = Ip/Is", |
| "Transformer efficiency: η = (Vs·Is)/(Vp·Ip) × 100%", |
| "AC generator emf: ε = NBAω sin(ωt) = ε₀ sin(ωt), with ε₀ = NBAω [V]; condition: coil rotates in uniform B field.", |
| "Magnetic flux: Φ = BA cosθ [Wb]" |
| ], |
| "diagrams_to_practice": [ |
| "AC generator (alternator) with labelled parts: armature coil, field magnet, slip rings, brushes", |
| "Step-up and step-down transformer with labelled primary, secondary, core, laminated sheets", |
| "Eddy current experiment: metal disc swinging between magnet poles", |
| "Motional emf: conductor moving on U-shaped rails in magnetic field (used in Kerala HSE 4-mark questions)" |
| ], |
| "exam_keywords": [ |
| "Induced emf", |
| "Rate of change of magnetic flux", |
| "Lenz's law (opposes the cause)", |
| "Motional emf (Blv)", |
| "Self-inductance (L)", |
| "Mutual inductance (M)", |
| "Step-up / step-down transformer", |
| "Peak emf (ε₀ = NBAω)", |
| "Eddy currents (lamination)", |
| "Conservation of energy" |
| ], |
| "memory_tricks": [ |
| "FLux Change → EMF: 'Faraday's Law says: Change Clips EMF'", |
| "Lenz's Law Negative Sign: 'Lenz says NO to change' (think of 'negative' = opposition)", |
| "Transformer formula: Vp/Vs = Np/Ns → 'Voltage per turn is same' (Vp per Np = Vs per Ns)", |
| "AC Generator: ε₀ = NBAω → 'NBA Omega' sounds like 'NBA woah!' (woah = ω)", |
| "Eddy currents reduced by lamination → 'Lamination stops eddy mission'" |
| ], |
| "possible_exam_questions": [ |
| "State and prove Faraday's Laws of Electromagnetic Induction. (4 marks)", |
| "State Lenz's Law. Explain with an example why it is a consequence of conservation of energy. (3 marks)", |
| "Derive the expression for motional emf. (3 marks) [Kerala HSE common]", |
| "Explain the principle, construction and working of an AC generator with a labelled diagram. (5 marks)", |
| "Distinguish between self-inductance and mutual inductance. (2 marks)", |
| "What are eddy currents? Give two applications and mention how they are minimised. (2 marks)", |
| "A coil of 200 turns, area 0.05 m², is placed perpendicular to a magnetic field of 0.1 T. If the field reverses in 0.02 s, find the induced emf. (3 marks) [Answer: 100 V]", |
| "An inductor of self-inductance 0.5 H carries a current of 2 A. Calculate the energy stored. (2 marks) [Answer: 1 J]" |
| ], |
| "last_minute_revision": [ |
| "Faraday's 1st + 2nd: ε = –dΦ/dt, emf induced only when flux changes.", |
| "Lenz's law: direction opposes change; gives negative sign.", |
| "Motional emf: ε = Blv (conductor perpendicular to field).", |
| "Self-inductance: ε = –L dI/dt; L in henry.", |
| "Energy in inductor: U = ½LI².", |
| "Mutual inductance: ε₂ = –M dI₁/dt.", |
| "Transformer: Vs/Vp = Ns/Np = Ip/Is; step-up if Ns > Np.", |
| "AC generator: ε = NBAω sin(ωt); peak = NBAω.", |
| "Eddy currents: minimised by lamination; used in brakes and induction heating." |
| ], |
| "quick_check": [ |
| "Q: What is the SI unit of magnetic flux? A: Weber (Wb)", |
| "Q: What does Lenz's law ensure? A: Conservation of energy.", |
| "Q: A transformer has 100 primary turns and 200 secondary turns. Is it step-up or step-down? A: Step-up (Vs > Vp)" |
| ] |
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