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Question

Two coils have a mutual inductance 5mH. The current changes in the first coil according to equation I=I0sinωt, where, I0=10A and ω=100πrad/sec. The maximum value of emf in the second coil is


A

2π

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B

5π

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C

π

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D

4π

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Solution

The correct option is B

5π


Step 1: Given data

Mutual inductance, M=5mH=0.005H

Current, I=I0sinωt

where, I0=10A

and ω=100πrad/sec.

Step 2: Formula used

Emf in the coil,

|ε|=MdIdt

where M is mutual inductance and dIdt is the rate of change of current

Step 3: Maximum value of emf in the second coil.

Emf in the coil,

|ε|=Mddt(I0sinωt)=MI0ωcosωt

Maximum emf,

εmax=0.005×10×100π×1=5π

The maximum value of emf in the second coil is 5π.

Hence, option B is the correct answer.


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