When two charged capacitors having capacitance and potential C₁, V₁...

Question

When two charged capacitors having capacitance and potential C₁, V₁ and C₂, V₂ respectively, are joined with a wire, the common potential will be

Accepted Answer

✅ Correct Answer: (A) (C₁V₁ + C₂V₂) / (C₁ + C₂)

📌 Concept: Conservation of Charge

Step 1 — Total Charge:

Q_total = Q₁ + Q₂ = C₁V₁ + C₂V₂

Step 2 — Total Capacitance:

C_total = C₁ + C₂

Step 3 — Common Potential:

V_common = Q_total / C_total

V = (C₁V₁ + C₂V₂) / (C₁ + C₂)