JEE Main20241 Feb 2024Morning ShiftPhysicsCapacitanceActual
Two identical capacitors have same capacitance C . One of them is charged to the potential V and other to the potential 2 V . 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 :
Options
- A1 4 C V 2
- B2 C V 2
- C1 2 C V 2
- D3 4 C V 2
Correct answer
A. 1 4 C V 2
Step-by-step solution
The common potential after connection would be, V C = q n e t C n e t = C V + C 2 V 2 C ⇒ V C = 3 V 2 Therefore, loss of energy = 1 2 C V 2 + 1 2 C 2 V 2 − 1 2 2 C 3 V 2 2 = C V 2 4