Question

Derive the formula for loss in energy on joining of two charged conductors by a wire.

Answer 1

\Let there be two capacitors with capacitance C₁ and C₂ at potential V₁ and V₂. If they are connected to each other by wire, charges start to flow from higher potential to lower potential. This flow of charge continues till they reach a common potential,

Here C₁, C₂ and (V₁ – V₂)² cannot be negative.

• Initial energy is greater than final energy. It means, there is some loss of energy in form of heat as charges flow from one higher potential to lower potential.