jm2612
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In the RC circuit shown, the resistance R, the Capacitance C, and the emf of the battery are all given quantities. The battery does not have internal resistance and the capacitor is fully charged after the switch is closed. Prove analytically that, regardless the values of R and C, exactly 50% of the total energy provided by the battery in the charging process is stored up in capacitor, and the other 50% is consumed by the resistor.
