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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 area of each plate is A, the energy stored in the capacitor is:
- 1/2 ε₀E²
- E²Ad/ε₀
- 1/2 ε₀E²Ad
- ε₀EAd
Correct answer: 1/2 ε₀E²Ad
Solution
The energy stored in a capacitor is given by U = 1/2 ε₀E²Ad, where ε₀ is the permittivity of free space, E is the electric field, A is the area of the plates, and d is the separation between them. This formula is derived from the relationship between energy density and electric field.
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