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.