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Q. What is equivalent time constant of $R C$ circuit shown in figure-$3.340$?Physics Question Image

Current Electricity

Solution:

By short circuiting the battery the effective circuit across $C$ is shown in figure below for calculation of Thevenin's resistance.
image
$R_{ eq }=\frac{3 R}{2}=1.5 R$
$\Rightarrow \tau=C_{ eq } R_{ eq }=1.5\, C R$