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Question

Two conducting rings P and Q of radius r and 3r move in opposite directions with velocities 2v and v respectively on a conducting surface S. There is a uniform magnetic field of magnitude B perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is



A
zero
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B
2Brv
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C
6Brv
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D
10Brv
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Solution

The correct option is D 10Brv
Let say, magnetic field is inwards.

VAVB=(B)(2v)(2r)=4Bvr ...(1)
VDVC=(B)(v)(6r)=6Bvr ...(2)
Further VA=VC, therefore, from Eq. (1) and Eq. (2)
VDVB=10Bvr

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