Consider a parallel plate capacitor of area A (of each plate) and separation '𝑑' between the plates. If 𝐸 is the electri…
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PYQConsider a parallel plate capacitor of area A (of each plate) and separation '𝑑' between the plates. If 𝐸 is the electric field and \({\epsilon }_{0}\) is the permittivity of free space between the plates, then potential energy stored in the capacitor is
[JEE Main 2025, 24 Jan (Shift 1)]
✓ Correct answer: d)
\(\frac{1}{2}{\epsilon }_{0}{E}^{2}Ad\)
Explanation
Energy per unit volume is given by:
\(\frac{U}{V}=\frac{1}{2}{\epsilon }_{0}{E}^{2}\)
Since volume V of the capacitor is \(A\times d\), the total energy stored in the capacitor is:
\(U=\frac{1}{2}{\epsilon }_{0}{E}^{2}\times Ad\)
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