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Question 20183
JEE Physics · Medium

Electromagnetic Induction and Alternating Current: Inductance — Growth of Current MCQ

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Inductance — Growth of CurrentMediumQuestion 20183

Question

When a battery is connected to an LR circuit, current initially:
  1. A
    Rises instantly to its maximum value V/R
  2. B
    Rises gradually due to the inductor opposing the change
    Correct
  3. C
    Stays zero permanently
  4. D
    Oscillates

Correct answer

Rises gradually due to the inductor opposing the change

Explanation

I(t) = (V/R)(1 − e^(−Rt/L)). At t = 0, I = 0; as t → ∞, I → V/R. The time constant τ = L/R determines how quickly the current rises.

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