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Questions  

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is v and the
potential difference developed across the ring is

a
zero
b
BvπR2l2 and M is at higher potential
c
πRBv and Q is at higher potential
d
2RBv and Q is at higher potential

detailed solution

Correct option is D

Rate of decrease of area of the semicircular ring −dAdt=(2R)vAccording to Faraday's law of induction induced emf e=−dφdt=−BdAdt=−B(2Rv)The induced current in the ring must generate magnetic field in the upward direction. Thus Q is at higher potential

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