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MHT CET202526 Apr 2025Morning ShiftPhysicsCapacitanceActual

Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors C₃ and C₁ is

Options

  1. A1.5
  2. B2.5
  3. C3.5
  4. D4.5

Correct answer

D. 4.5

Step-by-step solution

Analysis of circuit configuration: Capacitors C₁ and C₂ form a series combination, which is then connected in parallel with C₃ across voltage V . The equivalent capacitance of the series combination is calculated as: 1 C₁₂ = 1 C₁ + 1 C₂ = 1 C + 1 2C = 3 2C , giving C₁₂ = 2C 3 . The charge on C₁ equals the charge on the series combination: Q₁ = C₁₂V = 2CV 3 . For C₃ , directly connected across the battery: Q₃ = C₃V = 3CV . The ratio is then: Q₃ Q₁ = 3CV 2CV 3 = 9 2 . Final result: Q₃ Q₁ = 4.5

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