Loss of Energy in Combining Conductors/Capacitors
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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,
The change in energy will be: δU = Uinitial - Ufinal
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.