In the circuit shown in the following figure, the potential difference cross $3 \mu \mathrm{~F}$ capacitor is

In the circuit shown in the following figure, the potential difference cross $3 \mu \mathrm{~F}$ capacitor is
  1. 4 V
  2. 6 V
  3. 10 V
  4. 16 V

Solution

$\begin{aligned} & V_{e q}=20-4 \\ & =16 \mathrm{~V} \\ & \mathrm{C}_{\mathrm{eq}}=\frac{3 \times 5}{3+5} \\ & =\frac{15}{8} \\ & \mathrm{Q}=\mathrm{C}_{\mathrm{eq}} \times \mathrm{V}_{\mathrm{eq}} \\ & =\frac{15}{8} \times 16 \\ & =30 \mathrm{C} \\ & \dot{\mathrm{~V}}_3=\frac{\mathrm{Q}}{\mathrm{C}}=\frac{30}{3}=10 \mathrm{~V} \end{aligned}$ .

Asked in: MHT CET 2024 (15 May Shift 2)

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