Two identical capacitors have same capacitance C . One of them is charged to the potential V and other to…

Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the potential 2V. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :
  1. 14CV2
  2. 2CV2
  3. 12CV2
  4. 34CV2

Solution

The common potential after connection would be, VC=qnetCnet=CV+C2V2C

VC=3V2

Therefore, loss of energy

=12CV2+12C2V2122C3V22

=CV24

Asked in: JEE Main 2024 (01 Feb Shift 1)

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