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Question

A square loop of wire, side length 10 cm is placed at angle of 45o with a magnetic field that changes uniformly from 0.1 T to zero in 0.7 seconds. The induced current in the loop ( its resistance is 1Ω) is

A
1.0 mA
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B
2.5 mA
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C
3.5 mA
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D
4.0 mA
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Solution

The correct option is A 1.0 mA
L=10cm=102m ,θ=45
Initial magnetic field Bi=0.1T
Final magnetic field Bf=0T
Δt=0.7s ,R=1Ω
Now ϕB=BAcosθ=1032wB
ϕBf=0wb
ε=|ΔϕB|Δt=1032×10.7=1mV
I=εR=1mV1Ω=1mA

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