state and explain faraday's laws of electromagnetic induction. deduce an expressionfor the induced emf in a coilrotating uniformly in a uniform magnetic field.

The faraday's law of induction: rate of change of magnetic flux on a conductor is equal to the emf generated.

emf induced = -dφ/dt  , where φ is magnetic flux

Some properties are:

1. The induce emf always opposes the change of flux, which is known as the Lenz law.

2. There can be two types of induction: self induction and mutual induction.

 

Faraday's laws of electromagnetic induction, E.M.F. induced in a coil (e) = -(rate of change of magnetic flux linkage)

 

Hence, we have,

1. The induced e.m.f. is directly proportional to N , the total number of turns in the coil

2. The induced e.m.f. is directly proportional to A , the area of cross-section of the coil

3. The induced e.m.f. is directly proportional to B , the strength of the magnetic field in which the coil is rotating

4. The induced e.m.f. is directly proportional to w , the angular velocity of coil

5. The induced e.m.f. also varies with time and is dependent on instant 't' Therefore, electromagnetic induction depends on the factors given above.

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