In a parallel plate capacitor the separation between the two plates is maintained by a dielectric of dielectric constant K and thickness `d`. The dielectric material is not rigid and has a young’s modulus of Y. Capacitance of the capacitor is `C_(0)` if applied potential difference is nearly zero. At higher potentials the attractive force between the plates compresses the dielectric (by a small amount) and reduces the gap between the plates. Change in K can be neglected due to compression in the dielectric. Find the change in capacitance when a battery of V volt is connected across it.

Answer

`Delta C ~= (C_(0)K^(2)V^(2)in_(0))/(2d^(2)Y)`