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Q.

A very small circular loop of radius a is initially coplanar and concentric with a much larger circular loop of radius b(>>a). A constant current I is passed in the large loop which is kept fixed in space and the small loop is rotated with angular velocity ω about diameter. The resistance of the small loop is R & its self-inductance is negligible. The current in the larger loop is clockwise. (Here θ is to be measured from axis of large ring and t =0 both rings are in same plane)

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a

The magnitude of current in the small loop as a function of time is πa2μ0Iωsinωt2bR

b

The magnitude of current in the small loop as a function of time is  πa2μ0Iω cosωt2bR

c

Magnitude of Torque that must be exerted on the small loop to rotate is ωRπb2μ0Isinωt2b2

d

Magnitude of Torque that must be exerted on the small loop to rotate is ωRπa2μ0Isinωt2b2

answer is A, D.

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