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In a parallel plate capacitor, the distance between the plates is d and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is
- Q² / 2V²
- 1/2 ε₀ V² / d²
- 1/2 ε₀ d²
- 1/2 ε₀ V²
Correct answer: 1/2 ε₀ V² / d²
Solution
The energy density (energy per unit volume) in a parallel plate capacitor is given by u = 1/2 ε₀ (E²), where E is the electric field. Since E = V/d, substituting this into the formula gives u = 1/2 ε₀ (V²/d²).
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