Question

How would the emf in a circular wire change if we change the wire's radius?

Answer 1

Answer :-

There are three ways an emf can be induced in the circular wire:

1. Change the magnetic field.

2. Change the area of circular wire.

3. Change the angle between magnetic field and loop.

Now, as we know that if the flux changes, an emf will be induced. So, by Faraday's law :-

E = -d/dt

But , flux, = B.A

Here, A is the area of circular wire.

So , from here we can say that the emf (E) is directly proportional to the area (A) of the circular wire. Or the emf will increase on increasing the radius of the wire ( As, A = r^2).

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