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
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a
A and B arc at the same potential
b
C and D are at the same potential
c
current flows in clockwise direction
d
current flows in anticlockwise direction
answer is B.
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Detailed Solution
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=BvxBut for points C and D, x = 0Therefore, P.D. = 0Hence (b)
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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