Question

Consider an ideal parallel plate capacitor, having vacuum between two plates of area A and separation d. The shape of the plates is arbitrary. By the following steps, prove that the capacitance is 0 d where ε0 is the permittivity. Assume that the charge on each plate is electric field E between the plates is uniform. , and that the Use Gauss' law to calculate the electric field E between the plates in terms of Q and A. (Use a "Gaussian pillbox" that just encloses one of the plates, and remember that the field on the outside is zero. 1. 2. Use your expression for E to calculate the voltage V across the plates in terms of Q - A, and d. 3. Calculate the capacitance C from the definition Q-CV.

Answer 1

ル 41 A Cv 3 A G