Answer to Question #161548 in Physics for soma

Question

Show that Gauss' Law can be used to have an equation that shows the capacitance of two parallel plates in a vacuum.

Answer 1

$$\int EdA=\frac{Q}{\epsilon_0}\to E=\frac{Q}{A\epsilon_0}$$

$$V=Ed\\C=\frac{Q}{V}=\frac{Q}{Ed}=\frac{QA\epsilon _0}{Qd} \\C=\frac{A\epsilon _0}{d}$$