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Question

State Faraday's law of electromagnetic induction.


Solution

Faraday's law of electromagnetic induction:
When a changing magnetic field is linked with a coil, an emf is induced in it. This change in magnetic field may be caused by changing the magnetic field strength by moving a magnet towards or away from the coil, or moving the coil into or out of the magnetic field as desired. Or in simple words, we can say that the magnitude of the emf induced in the circuit is proportional to the rate of change of flux.
The Faraday's law of electromagnetic induction says that 
the E.M.F. induced in a coil '$$e$$' $$= -$$ (rate of change of magnetic flux linkage) 
where,
the Flux linkage $$=$$ number  of  turns 'N' times magnetic field 'B' $$\times$$ area 'A' $$\times \cos\theta$$
where,
$$\theta$$ is the angle between magnetic field B and area A.
$$\theta$$ at any instant $$'t'=$$(angular  velocity '$$w$$')$$\times$$ (time  instant '$$t$$').
That is, $$\theta$$ $$=w\times t$$.
E.M.F. induced in a coil '$$e$$'$$=N\times B\times A\times w\times \sin w\times t$$. 

Physics

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