Q.

A wheel with 20 metallic spokes each 1 m long is rotated with a speed of 120 rpm in a plane perpendicular to a magnetic field of 0.4 G. The induced emf between the axle and rim of the wheel will be (1 G = 10-4 T)

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a

2.51 V

b

2.51 × 10-4V

c

2.51 × 10-5 V

d

4.0 × 10-5 V

answer is B.

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Detailed Solution

Considering one spoke (OP) as given in diagram.Induced emf across one spoke (OP),e=Bωl22e=12×0.4×10−4×2π×12060×(1)2e=2.51×10−4VAll spokes are parallel to each other, hence net emfeNet=e=2.51×10−4V
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