A parallel-plate capacitor is filled with a dielectric material having

Question:

A parallel-plate capacitor is filled with a dielectric material having resistivity $\rho$ and dielectric constant $\mathrm{K}$. The capacitor is charged and disconnected from the charging source. The capacitor is slowly discharged through the dielectric. Show that the time constant of the discharge is independent of all geometric parameters like the plate area or separation between the plates. Find this time constant.

Solution:

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