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MHT CET20255 May 2025Evening ShiftPhysicsCapacitanceActual

The potential difference across the 4 ~F capacitor in the following circuit is

Options

  1. A3.4 V
  2. B4.6 V
  3. C5.4 V
  4. D6.2 V

Correct answer

C. 5.4 V

Step-by-step solution

The potential difference across the 4 F capacitor is determined by simplifying the circuit and analyzing charge distribution. The 2 F and 4 F capacitors are in parallel, with equivalent capacitance C_ parallel = 2 F + 4 F = 6 F . This combination is in series with the other 4 F capacitor. The equivalent capacitance is found from 1 C_ eq = 1 4 F + 1 6 F = 5 12 F , giving C_ eq = 12 5 F = 2.4 F . With a 9 V battery, the total charge is Q = (2.4 F ) 9 V = 21.6 C . In series, this charge is the same on the 4 F capacito

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