Question

If the angular speed of rotation of an armature of alternating current generator is doubled then the induced electromotive force will be ?? Answer is "doubled"
Explain in detail !!

Answer 1

The induced electromotive force will doubled on doubling the angular speed.

Explanation:

The induced emf in the coil is given by :

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

$\phi$ is the magnetic flux

$\epsilon= -N\dfrac{dBA\ \cos\theta}{dt}\\\\\epsilon=NBA\omega \sin\theta$

Here,

N is the number of turns

B is the magnetic field

A is the area

$\omega$ is the angular speed

It is clear that the induced emf is directly proportional to the angular speed of rotation of an armature of alternating current generator. So, the induced electromotive force will doubled on doubling the angular speed.

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