A parallel plate capacitor is to be designed which is to be connected across 1kv potential.The dielectric meteral which is to be Filled between the plates has dielectric constant $K=6\pi$ and dielectric strenght ${10}^{7}V/m.$For safly the eletric field is never to exceed 10 % of the dielectirc strenght.With such specification, of we want a capacitor of 50pF, What minumim area (in $m{m}^2$) of plates is required for safe working ?
$(\text{use}{\epsilon }_0=\frac{1}{36\pi }\times {10}^{-9}\text{in}\text{MKS})$

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