Question

The equivalent capacitance between points $X$ and $Y$ in figure is

• A. $\frac{6}{5}\mu F$
• B. $4\mu F$
• C. $\frac{18}{5}\mu F$
• D. none of these

Answer 1

Answer: (C)

Equivalent circuit may be drawn as follows:

As the structure is balanced Wheatstone bridge, so $5\mu F$ capacitor will draw no charge from battery and may be removed. Now the circuit is a simple circuit.
$C_{\text{eq }}=\frac{4\times 6}{(6+4)}+\frac{3\times 2}{(3+2)}=\frac{18}{5}\mu F$