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Q.

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

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a

30V

b

10V

c

25V

d

None of these

answer is B.

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Detailed Solution

Let q charge flow through the circuit then using Kirchhoff's law

$\begin{array}{l} 19 + 15 - \frac{q}{3} - 9 - \frac{q}{2} = 0 \\ \Rightarrow 25 - \frac{5 q}{6} = 0 \Rightarrow q = 30 μC \end{array}$

P.D. across 3 $μF$ is $V = \frac{30 μ C}{3 μ F} = 10 V$

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