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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Capacitance

NEET 2021 · Physics · Capacitance

A parallel plate capacitor has a uniform electric field → E in the...

A parallel plate capacitor has a uniform electric field E→\overset{\to}{E} in the space between the plates. If the distance between the plates is dd and the area of each plate is AA, the energy stored in the capacitor is: ε0={ε}_{0} = permittivity of free space)

Options

  1. A12ε0E2\dfrac{1}{2}{ε}_{0}{E}^{2}
  2. Bε0EAd{ε}_{0}EAd
  3. C12ε0E2Ad\dfrac{1}{2}{ε}_{0}{E}^{2}Ad
  4. DE2Adε0\dfrac{{E}^{2}Ad}{{ε}_{0}}

Correct answer

C. 12ε0E2Ad\dfrac{1}{2}{ε}_{0}{E}^{2}Ad

Step-by-step solution

Electric energy density x=12ε0E2x = \dfrac{1}{2}{ε}_{0}E^{2}

Volume of the space between plates of Capacitor is Ad\text{Ad}.

∴∴ Energy Stored = Energy density ×\times Volume

=12ε0E2Ad= \dfrac{1}{2}{ε}_{0}E^{2}Ad

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