Question

The configuration of the metal plate can be shown in figure. The area of each plate is A. The distance between each of the plates is d. Then the capacitance between A and B is

• A. $\frac{2A{ϵ}_0}{3d}$
• B. $\frac{A{ϵ}_0}{d}$
• C. $\frac{2A{ϵ}_0}{5d}$
• D. None of the above

Answer 1

The correct option is A $\frac{2A{ϵ}_0}{3d}$


This above diagram can be simplified as,
On further simplification the above capacitor are shown as

$c_{Net}=\frac{(c_1+c_2)C_3}{(c_1+c_2)+c_3}=\frac{2c^2}{3c}=\frac{2A{ϵ}_0}{3d}$