Suppose that a parallel-plate capacitor has a dielectric that breaks down if the electric field exceeds k v/m. thus, the maximum voltage rating of the capacitor is vmax=kd, where d is the separation between the plates. in working problem p3.33, we find that the maximum energy that can be stored is wmax=12ϵrϵ0k2(vol) in which vol is the volume of the dielectric. given that k = 32 × 105v/m and that ϵr = 1 (the approximate values for air), find the dimensions of a parallel-plate capacitor having square plates if it is desired to store 1 mj at a voltage of 2000 v in the least possible volume.