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

Question

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

The initial current in the coil is zero.

TestHub · Accepted Answer

ε = L d t d I ​ = 3 t ⇒ 3 ∫ 0 4 ​ t d t = 2 ∫ 0 I ​ d I ⇒ I = 12 A . U = 2 1 ​ L I 2 = 2 1 ​ × 2 × 1 2 2 = 144 J .

Physics - EMI/AC Question with Solution | TestHub

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JEE Advanced 2027 (Class 12+)

JEE Advanced 2027 (Class 12)