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Physics · Electrostatic Potential
हिन्दीGiven below are two statements: Statement I: The work done in charging an uncharged capacitor to a charge \( Q \) and potential difference \( V \) is completely converted into electrostatic potential energy with zero dissipation. Statement II: When an isolated charged capacitor is connected to an uncharged identical capacitor, half of the initially stored electrostatic energy is always dissipated, independent of the connecting wire's resistance. In the light of the above statements, choose the most appropriate answer from the options given below:
Correct answer · Option 4
Statement I is incorrect but Statement II is correct.
Explanation
Statement I is incorrect because the battery does work \( W = QV \), but only \( \frac{1}{2}QV \) is stored as energy, with \( 50\% \) dissipated as heat. Statement II is correct as energy lost during charge redistribution between identical capacitors is \( \Delta U = \frac{1}{4} C V^2 = \frac{1}{2} U_i \), independent of wire resistance.
