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Q.

A very small circular loop of area 5×104 m2 , resistance 2 ohm and negligible inductance is initially coplanar and concentric with a much larger fixed circular loop of radius 0.1 m . A constant current of 1 ampere is passed in the bigger loop and the smaller loop is rotated with angular velocity 2 rad/s about a diameter. Then the maximum induced emf is 

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a

3π×10-9 V

b

π×10-9 V

c

2π×10-9 V

d

4π×10-9 V

answer is B.

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Detailed Solution

B=μ0i2R  and ϕ=πr2B cos ωt

The induced emf, e=dϕdt=2π×10-9sinωt V

So, maximum emf is 2π×10-9V

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