Question

Four metallic plates each with a surface area of one side A are placed at a distance d from each other as shown in figure. The capacitance of the system is

• A. $\frac{{ϵ}_{0}A}{d}$
• B. $\frac{2{ϵ}_{0}A}{d}$
• C. $\frac{3{ϵ}_{0}A}{d}$
• D. $\frac{A{ϵ}_{0}A}{d}$

Answer 1

The correct option is B

$\frac{2{ϵ}_{0}A}{d}$

There are two capacitor and both are in parallel

$\therefore C_{net}=C_1+C_2=\frac{2A{ϵ}_0}{d}$