A parallel plate capacitor is made of two rectangular aluminium sheets of lateral dimensions 500 mm and 20 mm. The space between the plates is filled with
polystyrene and the separation between plates is 0.15 mm. Calculate the capacitance of the capacitor and the value of the maximum potential difference that can be applied across the capacitor without dielectric breakdown. Take the dielectric constant of polystyrene as 2.6 and the value of the maximum electric field that
polystyrene can withstand as 25×106 Vm−1.
a) The capacitance of the parallel plate capacitor filled with dielectric between its plates can be calculated from the formula:
here,
is the dielectric constant of polystyrene, 
is the permittivity
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