Part of JMAG-02 — Electromagnetic Induction & Lenz's Law

Electromagnetic Induction Overview

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Electromagnetic induction — the generation of EMF by changing magnetic flux — is one of the most consequential discoveries in physics, underpinning generators, transformers, and modern electrical infrastructure. It carries 3% JEE weightage with problems spanning motional EMF, rotating coils, inductance calculations, and energy storage.

Faraday's law (ε=NdΦ/dt\varepsilon = -Nd\Phi/dt) is the central equation. The flux Φ=BAcosθ\Phi = BA\cos\theta can change via three routes: varying field strength BB, changing loop area AA (motional EMF), or rotating the loop (changing θ\theta). Lenz's law provides the direction — the induced current always opposes the flux change, a direct consequence of energy conservation.

Self-inductance (LL) and mutual inductance (MM) extend induction to circuits: a changing current in one coil induces EMF in itself (ε=LdI/dt\varepsilon = -LdI/dt) or in a nearby coil (ε=MdI1/dt\varepsilon = -MdI_1/dt). Energy stored in an inductor (U=LI2/2U = LI^2/2) parallels capacitor energy storage. LC circuits oscillate at ω=1/LC\omega = 1/\sqrt{LC}, the electrical analog of SHM.

JEE problems test both conceptual understanding (Lenz's law direction, EMF vs. flux distinction) and computational skill (motional EMF on rails, rotating rod formulas, inductance calculations).

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