The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant of this circuit lies between:(Note: Graph shows V = 25 at t=0 , V ≈ 12.5 at t=100 , V ≈ 6.25 at t=200 ) ![image](https://pub-7faa453bd1ec4bf0a04cc031c6f058de.r2.dev/images/c523755a-f03d-49ab-a60

The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant of this circuit lies between:(Note: Graph sh - Physics MCQ AIEEE 2012 2026 | ExamTest.live

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The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant τ of this circuit lies between:(Note: Graph shows V = 25 at t = 0, V \approx 12.5 at t = 100, V \approx 6.25 at t = 200)

In a discharging RC circuit, V = V_{0} e^{- t / τ} .When V = \frac{V _{0}}{2}, we have: \frac{1}{2} = e^{- t_{1/2} / τ} ⟹ ln 2 = \frac{t _{1/2}}{τ} τ = \frac{t _{1/2}}{l n 2} \approx \frac{t _{1/2}}{0.693} From the graph, V_{0} = 25 V . The voltage drops to 12.5 V (half) at approximately t = 100 sec . τ \approx \frac{100}{0.693} \approx 144.3 sec .This value lies between 100 sec and 150 sec .

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The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant τ of this circuit lies between:(Note: Graph shows V = 25 at t = 0, V \approx 12.5 at t = 100, V \approx 6.25 at t = 200)

150 sec and 200 sec

0 and 50 sec

50 sec and 100 sec

100 sec and 150 sec

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