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Two identical conducting rings A and B o...

Two identical conducting rings `A` and `B` of radius `R` are rolling over a horizontal conducting plane with same speed `v` but in opposite direction. A constant magnetic field `B` is present pointing into the plane of paper. Then the potential difference between the highest points of the two rings is

A

(a) `0`

B

(b) `2BvR`

C

(c ) `4BvR`

D

(d) none of these

Text Solution

Verified by Experts

The correct Answer is:
C
( c) `V_(2) - V_(1) = (1)/(2)Bomega(2R)^(2) = 2BR(omegaR) = 2BRv`

`V_(3) -V_(4) = 2BRv`
But `V_(1) = V_(3)`
`rarr` `V_(2) - V_(4) = 4BRv`
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