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CGP EDU Academic Team
Published on: September 12, 2026
A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates, the time rate of change of electrostatic energy of capacitor is proportional to
Text Solution
Verified by ExpertsThe correct answer is:
A
$U = \frac{1}{2} CV^{2} = \frac{1}{2} \left( \frac{\varepsilon_{0} A}{x} \right) V^{2}$
∴ ∴ $\frac{dU}{dt} = \frac{1}{2} \varepsilon_0 A V^2 \left( - \frac{1}{x^2} \frac{dx}{dt} \right)$
⇒ ⇒ $\frac{dU}{dt} \propto x^{-2}$
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