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KCET2026PhysicsCapacitance

In the circuit shown in the figure, the potential difference across the 4 F capacitor is

Options

  1. A3 V
  2. B4 V
  3. C9 V
  4. D12 V

Correct answer

C. 9 V

Step-by-step solution

The equivalent capacitance of the parallel combination of 9 F and 3 F capacitors is: C_p = 9 + 3 = 12 F The total equivalent capacitance of the circuit is: C_ eq = 4 12 4 + 12 = 48 16 = 3 F The total charge supplied by the battery is: Q = C_ eq V = 3 F 12 V = 36 C Since the 4 F capacitor is in series with the battery, the total charge Q flows through it. The potential difference across the 4 F capacitor is: V₄ = Q C₄ = 36 C 4 F = 9 V Answer: 9 V

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