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MHT CET202613 April 2026Morning ShiftPhysicsCapacitanceActual

A condenser of capacity C₁ is charged to potential V₁ and then disconnected. Uncharged capacitor of capacity C₂ is connected in parallel with C₁ . The resultant potential V₂ is

Options

  1. AC₁ V₁ C₂
  2. BC₁ V₁ C₁ + C₂
  3. CC₂ V₁ C₁
  4. DC₂ V₁ C₁ + C₂

Correct answer

B. C₁ V₁ C₁ + C₂

Step-by-step solution

Initial charge on the first capacitor is Q = C₁ V₁ Initial charge on the second capacitor is zero. When connected in parallel, the total charge remains conserved and the equivalent capacitance is C_ eq = C₁ + C₂ The resultant potential V₂ is given by V₂ = Total Charge Total Capacitance V₂ = C₁ V₁ C₁ + C₂

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