Q.

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

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a

Zero

b

BνπR2/2 and M is at higher potential

c

πRBV and Q is at higher potential

d

2RBV and Q is at higher potential

answer is D.

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Detailed Solution

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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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