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JEE Main202430 Jan 2024Morning ShiftPhysicsCapacitanceActual

A capacitor of capacitance C and potential V has energy E . It is connected to another capacitor of capacitance 2 C and potential 2 V . Then the loss of energy is x 3 E , where x is _______.

Correct answer

0

Step-by-step solution

Given, E = 1 2 C V 2 Required energy loss = 1 2 C 1 C 2 C 1 + C 2 V 1 - V 2 2 = 1 2 C × 2 C C + 2 C V - 2 V 2 = 2 6 C V 2 = 2 3 · E ∴ x = 2

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