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The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant of this circuit lies between:

Options

  1. A150 ~sec and 200 ~sec
  2. B0 and 50 ~sec
  3. C50 ~sec and 100 ~sec
  4. D100 ~sec and 150 ~sec

Correct answer

D. 100 ~sec and 150 ~sec

Step-by-step solution

For discharging of an RC circuit, V=V₀ e^ -t / So, when V= V₀ 2 V ₀ 2 = V ₀ e ^ - t / 1 2 =- t = t 2 From graph when V = V ₀ 2 , t =100 ~s = 100 2 =144.3 ~sec

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