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MHT CET202617 April 2026Morning ShiftPhysicsCapacitanceActual

Three capacitors C₁ , C₂ and C₃ are connected to voltage source V as shown in figure. The voltage across C₃ will be

Options

  1. AC₃ V (C₁+C₂+C₃)
  2. B(C₁+C₂)V C₃
  3. C(C₂+C₃)V C₁+C₂
  4. D(C₁+C₂)V (C₁+C₂+C₃)

Correct answer

D. (C₁+C₂)V (C₁+C₂+C₃)

Step-by-step solution

From the given circuit diagram, capacitors C₁ and C₂ are connected in parallel. Their equivalent capacitance is C₁₂ = C₁ + C₂ . This equivalent capacitor C₁₂ is connected in series with capacitor C₃ . In a series combination, the charge Q on each capacitor is the same. The total equivalent capacitance of the circuit is: C_ eq = C₁₂ C₃ C₁₂ + C₃ = (C₁ + C₂)C₃ C₁ + C₂ + C₃ The total charge supplied by the voltage source is: Q = C_ eq V = (C₁ + C₂)C₃ V C₁ + C₂ + C₃ The voltage across C₃ is given by: V₃ = Q C₃ = 1 C₃ (C

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