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Question

A coil has an area 100 cm2 and 50 turns. Its resistance is 2Ω. It is kept perpendicular to a magnetic field of induction 0.02 Wbm2. If it is removed in 1 s, the average induced emf is

A
0.01 V
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B
0.02 V
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C
0.03 V
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D
0.05 V
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Solution

The correct option is A 0.01 V
Given: A=100 cm2, N=50, R=2 ,b=0.02 ,t=1 sec
Solution: by using the formula
ε=Ndϕdt=NBA(cosθ1cosθ2)t
Remember that cosθ1=00(as area vector is parallel to the magnetic field) but cosθ2 does not have any value because it is removed (ATQ)
ε=100×104×50×0.021=0.01
Hence the correct option is A


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