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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Capacitance

NEET 2012 · Physics · Capacitance

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

A parallel plate capacitor has a uniform electric field EE in the space between the plates. If the distance between the plates is dd and area of each plate is AA, the energy stored in the capacitor is

Options

  1. A12ε0E2\frac{1}{2} \varepsilon_0 E^2
  2. BE2Ad/ε0E^2 A d / \varepsilon_0
  3. C12ε0E2Ad\frac{1}{2} \varepsilon_0 E^2 A d
  4. Dε0EAd\varepsilon_0 E A d

Correct answer

C. 12ε0E2Ad\frac{1}{2} \varepsilon_0 E^2 A d

Step-by-step solution

Energy density for a parallel plate capacitor =12ε0E2=\frac{1}{2} \varepsilon_0 E^2 and volume =Ad=A d Total energy = energy density ×\timesvolume=(12ε0E2)×(Ad)=12ε0E2Ad\begin{aligned}& =\left(\frac{1}{2} \varepsilon_0 E²\right) \times(A d) \\ & =\frac{1}{2} \varepsilon_0 E² A d \end{aligned}
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