Question

Find the equivalent capacitance across $A$ and $B$.

• A. $\frac{35}{6}\mu F$
• B. $\frac{25}{6}\mu F$
• C. $15\mu F$
• D. none of these

Answer 1

Answer: (A)

$\frac{35}{6}\mu F$

Circuit can be drawn as shown.
Now, this circuit is a wheatstone bridge then $V_x=V_y$. hence
$\frac{25\mu F}{5\mu F}=\frac{7\mu F}{2\mu F}$
$C_{eq}==\left(\frac{5\times 25}{5+25}\right)+\left(\frac{10\times 2}{10+2}\right)=\frac{35}{6}=\frac{35}{6}\mu F$