Question

A network of six identical capacitors, each of value $C$, is made as shown in the figure. The equivalent capacitance between the points $A$ and $B$ is

• A. $C/4$
• B. $3C/4$
• C. $3C/2$
• D. $4C/3$

Answer 1

Answer: (D)

$\frac{1}{2C}+\frac{1}{C}=\frac{1}{C^{\prime }}\text{ or }{C}^{\prime }=\frac{2C}{3}$
$C^{\prime }$ and $C^{\prime }$ are in parallel. Hence, the equivalent capacitance between $A$ and $B$ is
$C_{eq}=2\times \frac{2C}{3}=\frac{4}{3}C$