Question

In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5\mu F$. All values in the circuit are in $\mu F$.

• A. $\frac{7}{10}\mu F$
• B. $\frac{7}{11}\mu F$
• C. $\frac{6}{5}\mu F$
• D. $4\mu F$

Answer 1

The correct option is B $\frac{7}{11}\mu F$

From equs.
$\frac{\frac{7C}{3}}{\frac{7}{3}+C}=\frac{1}{2}$
$⟹14C=7+3C$
$⟹C=\frac{7}{11}$