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 $50\; pF$?
