A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of th - Physics MCQ AIEEE 2007 2026 | ExamTest.live

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A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be:

Solution & Step-by-step Explanation

Let the potential difference (EMF) be V and the final charge on the capacitor be q .Energy stored in the capacitor (U): U = \frac{1}{2} C V^{2} = \frac{1}{2} q V Work done by the battery (W): W = q V The ratio of energy stored to work done is: Ratio = \frac{U}{W} = \frac{\frac{1}{2} q V}{q V} = \frac{1}{2}

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A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be:

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