Question

Case study $\left(2\right)$

In the circuit shown in the figure, four capacitors are connected to a battery.


$\left(i\right)$The equivalent capacitance of the circuit is

• A. $8.4\mu \text{F}$
• B. $6\mu \text{F}$
• C. $10\mu \text{F}$
• D. $25\mu \text{F}$

Answer 1

The correct option is B $6\mu \text{F}$

We can redraw the given circuit as follows,





The resultant capacitance of the given circuit is,

$C_R=\frac{C_1\times C_2}{C_1+C_2}=\frac{15\times 10}{15+10}$

$\therefore C_R=\frac{150}{25}=6\mu \text{F}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.