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A parallel-plate air capacitor has capacitance C, plate separation d, and potential difference V is applied between the plates. The force of attraction between the plates is
- \(\frac{CV^2}{2d}\)
- \(\frac{CV}{2d}\)
- \(\frac{CV^2}{d}\)
- \(\frac{C^2V^2}{2d}\)
Correct answer: \(\frac{CV^2}{2d}\)
Solution
For a capacitor maintained at constant voltage, the attractive force can be obtained from the rate of change of energy with separation. Using \(C = \varepsilon_0 A/d\), the result is \(F = \frac{CV^2}{2d}\).
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