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Question

The current in a coil of self-inductance 2.0 H is increasing according to equation I=2sint2 A. Find the amount of energy spent during the period when the current changes from 0 to 2 A.

A
2 J
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B
3 J
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C
4 J
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D
None of these
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Solution

The correct option is C 4 J
For current changing from 0i the energy stored in inductor is given by:
U=i0Li di ...(i)
given, current varries from 0 to 2 A,
U=12L[i2]20=12×2×22=4 J

4 J is the amount of energy spent during this time interval as pure inductor dose not dissipates energy.

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