Question

The equivalent capacitance between points $A$ and $B$ in the given figure, is

• A. $\frac{36}{13\mu F}$
• B. $2\mu F$
• C. $1\mu F$
• D. $3\mu F$

Answer 1

Answer: (D)

$C_1$ and $C_2$ are in series
$\therefore \frac{1}{C^{\prime }}=\frac{1}{C_1}+\frac{1}{C_2}=\frac{1}{3}+\frac{1}{6}$
$\Rightarrow$ $C^{\prime }=2\mu F$
Similarly, $C_3$ and $C_4$ are in series
$\frac{1}{C^{\prime \prime }}=\frac{1}{C_3}+\frac{1}{C_4}=\frac{1}{2}+\frac{1}{2}$
Now, $C^{\prime }$ and $C^{\prime \prime }$ are in parallel
$\therefore$ $C_{\text{comb }}=C^{\prime }+C^{\prime \prime }$
$=2\mu F+1\mu F=3\mu F$