First slide

Motional EMF

Question

A copper disc of radius 0.1 m is rotated about its centre with 10 revolutions per second in a uniform magnetic field of 0.1 T with its plane perpendicular to the field. The e.m.f. induced across the radius of disc is

Moderate

A

$\frac{π}{10} V$
B

$\frac{2 π}{10} V$
C

$π \times 10^{- 2} V$
D

$2 π \times 10^{- 2} V$

Solution

$e = \frac{1}{2} {Bωr}^{2} = \frac{1}{2} \times 0.1 \times 2 π \times 10 \times (0.1)^{2} = π \times 10^{- 2} V$

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