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COMEDK2024PhysicsCapacitanceActual

The potential difference between the points P and Q of the arrangement shown in figure is

Options

  1. A-3.9 V
  2. B-42 V
  3. C42 V
  4. D-9.3 V

Correct answer

D. -9.3 V

Step-by-step solution

Both battery positive terminals face left, so they oppose each other. Net EMF = 28 - 14 = 14 V (driven by 28V, counter-clockwise). Capacitors in series: C_ eq = 4 8 4+8 = 32 12 = 8 3 F Charge: Q = C_ eq V_ net = 8 3 14 = 112 3 C Voltage across 4 F : |V_P - V_Q| = Q C₁ = 112/3 4 = 28 3 9.33 V Since current flows counter-clockwise, positive charge accumulates at Q (bottom plate), making V_Q > V_P . V_P - V_Q = -9.33 V

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