First slide

KVL

Question

In the circuit shown, the cell is ideal, with e.m.f. = 15 V. Each resistance is of 3 $Ω$ . The potential difference across the capacitor is

Moderate

A

Zero
B

9 V
C

12 V
D

15 V

Solution

No current flows through the branch where capacitor is connected
Total resistance $\frac{2 R \times R}{3 R} + R = 5 R / 3$ = $5 Ω$

P.D acros sthe capacitor
$\begin{array}{l} = 1 \times R + 3 R \\ = 4 R = 12 V \end{array}$

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