Question

The equivalent capacitance between points $\text{A}$ and $\text{B}$ is-

• A. $\frac{C}{4}$
• B. $\frac{C}{2}$
• C. $C$
• D. $2C$

Answer 1

The correct option is D $2C$

Distributing potential to the different nodes, we can redraw the given circuit with capacitors each of capacitance $C$ as follows,




Since, it forms a balanced Wheatstone bridge circuit, thus capacitor between the potentials $x$ and $y$ is neglected.

The equivalent capacitance of the given circuit is,

$C_{eq}=\frac{C}{2}+\frac{C}{2}+C=2C$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(D\right)$ is the correct answer.