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A Capacitor Paradox

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arxiv physics/0312031 v1 pith:PSZM27YX submitted 2003-12-03 physics.class-ph

A Capacitor Paradox

classification physics.class-ph
keywords energyswitchactionanalysisappropriateawaybeencapacitor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Consider two capacitors in parallel, but initially isolated by a switch such that one is charged and the other not. After the switch is closed, the charges redistribute themselves in such a way that the final electrostatic energy is less than the initial. We show that the "missing" energy has been radiated away by including an appropriate form of the radiation action in an equivalent circuit analysis.

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