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:

Question

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:

TestHub · Accepted Answer

For discharging of an RC circuit, V = V 0 ​ e − t / τ So, when V = 2 V 0 ​ ​ 2 V 0 ​ ​ = V 0 ​ e − t / τ ln 2 1 ​ = − τ t ​ ⇒ τ = l n 2 t ​ From graph when V = 2 V 0 ​ ​ , t = 100 s ∴ τ = l n 2 100 ​ = 144.3 sec

Physics - Capacitor Question with Solution | TestHub

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