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Two conducting rings of radii r and 2r m...

Two conducting rings of radii `r` and `2r` move in apposite directions with velocities `2 upsilon` and `upsilon` 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

Text Solution

Verified by Experts

Replace the induced emfs in the rings by cells emfs
`e_(1) = B2r(2v) = 4 Brv`
`e_(2) = B(4r)v = 4Brv` The equilvalent circuit is

Hence the potential difference between the highest points of the two rings is `V_(2)-V_(1) = e_(1)+e_(2) = 8 Brv`
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