Question

Find the equivalent capacitance between points $\text{A}$ and $\text{B}$.

• A. $\frac{20}{9}\mu \text{F}$
• B. $9\mu \text{F}$
• C. $2\mu \text{F}$
• D. $\frac{26}{5}\mu \text{F}$

Answer 1

The correct option is B $9\mu \text{F}$

Redrawing the given circuit, we can see that all the branches containing capacitors are in parallel (connected between point $A$ and $B$).

$\Rightarrow C_{eq}=\frac{6\times 3}{6+3}+3+4$

$\Rightarrow C_{eq}=2\mu \text{F}+3\mu \text{F}+4\mu \text{F}$

$\Rightarrow C_{eq}=9\mu F$

Hence, option $\left(b\right)$ is correct.