Question

find an expression for the induced EMF due to change in area of a coil lying in a uniform magnetic field? ​

Answer 1

Answer:

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Answer 2

Induced emf, $\epsilon=B\dfrac{dA}{dt}$

Explanation:

The emf is induced in the coil due to the change in following factors :

1. Change in magnetic field.

2. Charge in area of a coil.

3. The change in orientation of the coil

The induced emf is given by :

$\epsilon=\dfrac{-d\phi}{dt}$

Where

$\phi=B{\cdot} A$

If the area of a coil is changing, then induced emf is given by :

$\epsilon=B\dfrac{dA}{dt}$

Where

$\dfrac{dA}{dt}$ is the change in area of a coil.

Therefore, this is the required solution.

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