A parallel plate capacitor is to be designed with a voltage rating $1 kV$, using a material of dielectric constant 3 and dielectric strength about $10^7 Vm^{−1}$. (Dielectric strength is the maximum electric field a material can tolerate without breakdown, i.e., without starting to conduct electricity through partial ionisation.) For safety, we should like the field never to exceed, say $10 %$ of the dielectric strength. What minimum area of the plates is required to have a capacitance of $50\; pF$?

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