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COMEDK202510 May 2025Morning ShiftPhysicsCapacitanceActual

Two capacitors C ₁ and C ₂ are charged to 100 V and 120 V respectively. It is found that upon connecting them together in parallel, the potential on each one of them is zero. Therefore

Options

  1. A5 C₁=3 C₂
  2. B5 C₁+6 C₂=0
  3. C5 C₁=6 C₂
  4. DC₁+3 C₂=0

Correct answer

C. 5 C₁=6 C₂

Step-by-step solution

Let the charges on the capacitors be Q₁ = C₁ V₁ and Q₂ = C₂ V₂ . Given V₁ = 100 V and V₂ = 120 V, the charges are Q₁ = 100 C₁ and Q₂ = 120 C₂ . When the capacitors are connected in parallel, the total charge is conserved. If the final potential is zero, the total charge must be zero. This implies that the plates of opposite polarity were connected together. The total charge is Q₁ - Q₂ = 0 or Q₂ - Q₁ = 0 . Substituting the values, 100 C₁ - 120 C₂ = 0 or 120 C₂ - 100 C₁ = 0 . This simplifies to 100 C₁ = 120 C₂ , whic

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