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A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3t volt (where t is in second). If the voltage is applied when t = 0, then the energy stored in the coil after 4 s is _____ J.

Asked in JEE Main 25th Feb 1st Shift 2021 · Energy stored in an inductor

Answer: 144

Step-by-step solution

V=L(dI)/(dt)⇒3t=2(dI)/(dt), so I=(3t²)/4.

At t=4 s, I=12 A.

U=1/2LI²=1/2×2×144=144 J.

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