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  4. In the circuit shown, the cell is ideal, with emf =15 V. Each resistance is of 3 Ω. The potential difference (in V) across the capacitor is -

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Q. In the circuit shown, the cell is ideal, with emf $=15\, V$. Each resistance is of $3\, \Omega$. The potential difference (in $V$) across the capacitor is -Physics Question Image

Current Electricity

Solution:

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At steady state current does not pass through capacitor Brach.
$R_{e q}$ of the circuit $=\frac{6 \times 3}{6+3}+3=5\, \Omega$
$i=15 / 5=3\, Amp$.
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Applying kirchoff at steady state in loop
$ABCDA$
$1 \times 3+q / C-15=0$
$q / C=12$
p.d. across capacitor $=12$ volt