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Q.

A very small circular loop of area 5×10–4 m2 resistance 2Ω and negligible inductance is initially coplanar and concentric with a much larger fixed circular loop of radius 0.1m. A constant current of 1 ampere is passed in larger loop and smaller loop is rotated with a angular velocity ‘ω’ rads–1 about its diameter. The induced emf is ___ ×10–9V

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a

πω2sinωt

b

πω8cosωt

c

πωsinωt

d

πω2sinωt

answer is D.

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Detailed Solution

E=BAnωsinωtB=μ0i2r=4π×107×12×0.1=2π×106E=2π×106×5×104×ω×sinωtE=πωsinωt×109

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