A series L - R circuit is connected to a battery of emf V . If the circuit is switched on at t = 0 , then the time at which the energy stored in the inductor reaches 1 n times of its maximum value, is :

Question

A series L - R circuit is connected to a battery of emf V . If the circuit is switched on at t = 0 , then the time at which the energy stored in the inductor reaches 1 n times of its maximum value, is :, L R ln n n - 1, L R ln n + 1 n - 1, L R ln n n + 1, L R ln n - 1 n

MARKS App · Accepted Answer

Potential energy stored in inductor is given by U = 1 2 L 2 ∪ ∝ l 2 U U 0 = 1 I 0 2 1 n = 1 I 0 2 1 I 0 = 1 - e - RT / L = 1 n t = L R ln n n - 1

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