Question

Case study $\left(2\right)$

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

$\left(iii\right)$The potential difference across the $6\mu \text{F}$ capacitor is

• A. $6\text{V}$
• B. $4\text{V}$
• C. $5\text{V}$
• D. $7\text{V}$

Answer 1

The correct option is A $6\text{V}$

We can redraw the given circuit as follows,


The net charge through the battery is,

$Q_{net}=C_{eq}V=6\times 10=60\mu \text{C}[\because C_{eq}=6\mu \text{F}]$

Now, charge through $6\mu \text{F}$ capacitor is,

$q_{6\mu \text{F}}=\frac{6}{10}\times 60\mu \text{C}=36\mu \text{C}$

Now, potential difference across the $6\mu \text{F}$ capacitor is,

$V_{6\mu \text{F}}=\frac{Q}{C}=\frac{36}{6}=6\text{V}$

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