Part of JES-02 — Electrostatic Potential, Capacitance & Energy

Charge Redistribution and Energy Loss

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When two charged capacitors are connected (positive to positive): Common potential VfV_f = C1V1+C2V2(C1+C2)\frac{C1V1 + C2V2}{(C1 + C2)} — charge is conserved. Energy is NOT conserved — energy lost as heat in connecting wires: UlostU_{lost} = C1C2(V1 - V2)^2 / (2(C1 + C2)). This is always positive, confirming energy is always lost. Maximum energy loss occurs when C1 = C2 (half the initial energy is lost). When connected positive to negative (opposing): VfV_f = C1V1C2V2(C1+C2)\frac{C1V1 - C2V2}{(C1 + C2)} and the same energy loss formula applies but with (V1 + V2) replacing (V1 - V2). JEE tip: always check how the plates are connected — same polarity vs opposite polarity.

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