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NTA Abhyas JEE Main2020PhysicsAlternating CurrentPractice

In the circuit shown in diagram, switch S is closed at time t = 0 . The charge which passes through the battery in one time constant is

Options

  1. AeR 2 E L
  2. BEL R
  3. CEL eR 2
  4. DeL ER

Correct answer

C. EL eR 2

Step-by-step solution

The current at time t is given by i = i 0 1 - e - t / τ Here,   i 0 = E R and τ = L R ∴    q = ∫ 0 τ   i d t = ∫ 0 τ   i 0 1 - e - t / τ d t = i 0 τ e = E R L R e = EL eR 2

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