Chapter 3, Problem 3.33P

We have a parallel-plate capacitor with plates of metal each having a width Wand a length L. The plates are separated by the distance d Assume mat L and Ware both much larger man d. The maximum voltage that can be applied is limited to $V_{\max }=Kd$, in which K is called the breakdown strength of the dielectric. Derive an expression for the maximum energy that can be stored in the capacitor in terms of K and the volume of the dielectric. If we want to store the maximum energy per unit volume, does it matter what values are chosen for L, W, and d? What parameters are important?