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Topic: Energy stored in a capacitor· Electrostatics

A parallel plate capacitor has a uniform electric field 'E' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is : (ε_0 = permittivity of free space)

1. \(\frac{1}{2}\varepsilon_0E^2\)

2. \(\varepsilon_0EAd\)

3. \(\frac{1}{2}\varepsilon_0E^2Ad\)

4. \(\frac{E^2Ad}{\varepsilon_0}\)

1 answer

Best answer

Answer: 3. \(\frac{1}{2}\varepsilon_0E^2Ad\)

Key idea: energy density in an electric field is \(\tfrac12\varepsilon_0E^2\); multiply by the volume between the plates.

\(U=\tfrac12\varepsilon_0E^2\times Ad\). Option 3. Option 1 is only the energy per unit volume.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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