In the transient current circuit shown, the time constant is
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$r_{e q}=\frac{R \times 3 R}{R+3 R}=\frac{3 R}{4}$

$\mathrm{R}+\mathrm{r}_{\mathrm{eq}}=\mathrm{R}+\frac{3}{4} \mathrm{R}=\frac{7}{4} \mathrm{R}$

$\therefore $ time constant $=\frac{7}{4} \mathrm{RC}$

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