The parallel-plate capacitor shown below is made of two identical conducting plates of area A carrying charges

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The parallel-plate capacitor shown below is made of two identical conducting plates of area A carrying charges ± q. The capacitor is filled with a compressible dielectric solid with permittivity ε and elastic energy

(a) Find the equilibrium separation between the plates d(q).

(b) Sketch the potential difference between the plates V (q). Comment on any unusual behavior of the differential capacitance Cd (q) = dq/dV.

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