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Q.

A conducting loop of radius R is present in a uniform magnetic field B perpendicular to the plane of the ring. If radius R varies as a function of time t, as R = R0 + t. The emf induced in the loop is

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a

2πR0+tB clockwise

b

πR0+tB clockwise

c

2πR0+tB anticlockwise

d

Zero

answer is C.

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Detailed Solution

Given, R = R0 + tA=πR2=πR0+t2;dAdt=2πR0+tTherefore, emf induced in the loop ise=BdAdt=2πR0+tBSince area is increasing, induced emf is in anticlockwise sense to oppose the change in flux.
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A conducting loop of radius R is present in a uniform magnetic field B perpendicular to the plane of the ring. If radius R varies as a function of time t, as R = R0 + t. The emf induced in the loop is