Question

The initial angular speed of the coil in the generator is 5rad/s and initial amplitude of induced emf is 10V. Calculate the angular speed of coil when amplitude of incident emf is 8V?

Answer 1

Answer:

4 rad/s

Explanation:

We will be using Faraday’s law to solve this problem.The emf induced in the coil of electrical generator is given by formula

E=NABωsinωt

The amplitude of emf

Em=NABω

Where, N is the number of coils, A is the area of the conductor and B is the strength of magnetic field.

Therefore

Em2/Em1=ω2/ω1

Finally

ω2=Em2/Em1 x ω1

ω2=8 V/10 V×5 rad/s

=4 rad/s