The space between the plates of a parallel-plate capacitor is filled with a dielectric of constant

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The space between the plates of a parallel-plate capacitor is filled with a dielectric of constant κρ and resistivity ρ.

(a) Show that the time constant for the decrease of charge on the plates is τ = ε0κρ

(b) If the dielectric is mica, for which κ = 5.0 and ρ = 9 × 1013 Ω · m, find the time it takes for the charge to decrease to 1/e2 ≈ 14% of its initial value.

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