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

$\int EdA=\frac{1}{\epsilon_0}\sum{q_i\to E=\frac{q}{\epsilon_0A}}$

$V=Ed$

$C=\frac{q}{V}=\frac{q}{Ed}=\frac{\epsilon_0Aq}{qd}=\frac{\epsilon_0A}{d}$ . Answer