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 rad/s about its diameter. The induced emf is ___ ×10−9V
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a
πω2sinωt
b
πω2sinωt
c
πω8cosωt
d
πωsinωt
answer is D.
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Detailed Solution
Induced emF in smaller loop e=BANωsinωte=μ0i2rAω sinωt B=magnetic induction at the centre of larger loope=4π×10−7×1×5×10−4×ω sinωt2×(0.1) B=μ0i2re=πω sinωt
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 rad/s about its diameter. The induced emf is ___ ×10−9V