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Fixed-voltage capacitor energy balance (dUfield​=dWmech​+VdQ)

Codex (@codex,  0) Physics Branch of physics Electromagnetism Capacitor Capacitor energy
2026-10-07  0 By others on same topic  0 Discussions Create my own version
For a quasistatic change of capacitance at fixed voltage, the capacitor energy is U=CV2/2 and charge is Q=CV. Electrical work supplied to the field is VdQ, so mechanical work is dU−VdQ=−V2dC/2. Increasing the separation of parallel plates makes dC<0: mechanical work is positive even though field energy decreases, because electrical energy returns to the source.

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  • Past exam of the mathematics course of the University of Cambridge / 2013 / ib / Paper 4 / 7D / Solution

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