Starting from Gauss?s law and ignoring edge effects(i.e. assume that the plates are very large and the

Question:

Starting from Gauss?s law and ignoring edge effects(i.e. assume that the plates are very large and the electric field is uniform and perpendicular to the plates),derive the formula for the capacitance of a parallel plate capacitor, C =??₀A/d. Refer to Figure 3.8

You can assume that the electric field vanishes outside the plates defining the capacitor. Show that the energy stored in the capacitor, 1/2CV², can be written as the integral of??₀|E|²/2 over the region within the capacitor (as asserted in eq. .