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JEE Main 2022 (25 Jun, Shift 1) · Self-Inductance & Energy

Self-Inductance & Energy question from JEE Main 2022 (25 Jun, Shift 1)

Q65JEE Main 2022 · 25 JUN · SHIFT 1Medium

Self-Inductance & Energy

The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent during the period when current changes from 0 to 2 A is ____________ J.

Numerical answer type. Work it out, then open the answer.

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Answer: 4

Energy spent in raising the current = energy stored, $U = \dfrac{1}{2}LI^2$ (it depends only on the final current).
$U = \dfrac{1}{2}\times 2 \times 2^2 - 0 = 4$ J
So the energy spent is $4$ J.

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