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YOUR STUDY SPACE · CBSE

Electromagnetic Induction — Class 12 Physics

Physics Part I · Chapter 6

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Chapter summary

A changing magnetic flux through a circuit induces an emf—the heart of electromagnetic induction. Magnetic flux is . Faraday's law states that the induced emf equals the rate of change of flux, , while Lenz's law, expressed by the negative sign, ensures the induced current opposes the change producing it—a statement of energy conservation. A conductor of length moving with speed across a field generates a motional emf . Changing fluxes also drive eddy currents in bulk conductors, used in braking and induction heating but minimised by lamination in transformers. Self-inductance opposes changes in a coil's own current, with emf and stored energy . Mutual inductance couples two coils, the basis of the transformer. An AC generator converts mechanical energy into electrical energy by rotating a coil in a field, producing a sinusoidal emf , embodying the link between motion, magnetism and electricity.
Magnetic flux and Faraday's lawLenz's law and energy conservationMotional emfEddy currents and applicationsSelf and mutual inductanceAC generator

Key ideas & terms

Magnetic flux
Field threading a surface, ; SI unit weber.
Faraday's law
Induced emf equals the negative rate of change of flux, .
Lenz's law
Induced current opposes the change in flux, conserving energy.
Motional emf
Emf in a conductor moving across a field.
Self-inductance
Property opposing change in a coil's own current, emf .
Eddy currents
Induced circulating currents in bulk conductors, reduced by lamination.

Extra questions & answers

State Faraday's law of induction.

The induced emf equals the negative rate of change of magnetic flux, .

State Lenz's law and its significance.

The induced current opposes the change causing it; it expresses conservation of energy.

What is motional emf?

The emf induced in a rod of length moving with speed perpendicular to .

Define self-inductance.

The flux linkage per unit current in a coil, ; it opposes current changes.

What energy is stored in an inductor?

, held in the magnetic field of the coil.

Define mutual inductance.

The flux linkage in one coil per unit current in a neighbouring coil, .

What are eddy currents and one use?

Induced currents in bulk conductors; used in electromagnetic braking and induction furnaces.

Why are transformer cores laminated?

To increase resistance to eddy currents, reducing energy loss as heat.

How does an AC generator produce emf?

By rotating a coil in a magnetic field, changing flux to give .

On what factors does induced emf in a rotating coil depend?

Number of turns, area, field strength and angular speed: .