Question

Find the equivalent capacitance between points P & Q. (Area of plate = A, plate separation = d)

• A. $\frac{5{ϵ}_{0}A}{d}$
• B. $\frac{7}{3}\frac{{ϵ}_{0}A}{d}$
• C. $\frac{4}{3}\frac{{ϵ}_{0}A}{d}$
• D. $\frac{5}{3}\frac{{ϵ}_{0}A}{d}$

Answer 1

The correct option is D

$\frac{5}{3}\frac{{ϵ}_{0}A}{d}$

$\therefore C_{eq}=\frac{2C\times C}{2C+C}+C=\frac{5C}{3}{C}_{eq}=\frac{5{ϵ}_{0}A}{3d}$