Solveeit Logo

Question

Question: A copper disc of radius 0.1 m rotates about its centre with 10 revolutions per second in a uniform m...

A copper disc of radius 0.1 m rotates about its centre with 10 revolutions per second in a uniform magnetic field of 0.1 Tesla. The emf induced across the radius of the disc is

A

π10V\frac{\pi}{10}V

B

2π10V\frac{2\pi}{10}V

C

10 πMv

D

20 πMv

Answer

10 πMv

Explanation

Solution

The induced emf between centre and rim of the rotating disc is

E=12BωR2=12×0.1×2π×10×(0.1)2=10π×103voltE = \frac{1}{2}B\omega R^{2} = \frac{1}{2} \times 0.1 \times 2\pi \times 10 \times (0.1)^{2} = 10\pi \times 10^{- 3}volt