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A vertical conducting ring of radius R f...

A vertical conducting ring of radius `R` falls vertically with a speed `V` in a horizontal uniform magnetic field `B` which is perpendicular to the plane of the ring. Which of the following statements is correct?

A

(a) `A and B` are at the same potential

B

(b) `C and D` are at the same potential

C

( c) current flows in clockwise direction

D

( d) current flows in anticlockwise direction

Text Solution

Verified by Experts

The correct Answer is:
B
(b) When the ring falls vertically, there will be an induced emf across `A and B(e = Bv(2r)`.
Note that there will be a potential difference across any two points on the ring, and the line joining these has a projected length in the horizontal plane. For example, between points `P and Q` there is a projected length `x` in the horizontal plane.
`:.` P. D. across `P` and `Q` is
`V = B vx`
But for points C and D, `x = 0` Therefore, `P.D. = 0`
Hence (b)
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