Question

Both capacitors are initially uncharged and then connected as shown and switch is closed. What is the potential difference across the $3\mu F$ capacitor?

• A. $30\text{V}$
• B. $10\text{V}$
• C. $25\text{V}$
• D. None of these

Answer 1

The correct option is B $10\text{V}$

Let $q$ charge flow through the citcuit, then using Kirchhoff's law
$19+15-\frac{q}{3}-9-\frac{q}{2}=0$
$25-\frac{5q}{6}=0\Rightarrow q=30\mu C$
P.D. across $3\mu F$ is $V=\frac{30\mu C}{3\mu F}=10\text{V}$