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Physics · PYQ NEET UG 2021

हिन्दी

A parallel plate capacitor has a uniform electron field \( \vec{E} \) 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 capacitance is: (\( \varepsilon_0 \) = permittivity of free space)

  1. \( \varepsilon_0 EAd \)
  2. \( \frac{1}{2} \varepsilon_0 E^2 Ad \)
  3. \( \frac{E^2 Ad}{\varepsilon_0} \)
  4. \( \frac{1}{2} \varepsilon_0 E^2 \)

Correct answer · Option 2

\( \frac{1}{2} \varepsilon_0 E^2 Ad \)

Explanation

Energy density \( u = \frac{1}{2} \varepsilon_0 E^2 \). Total energy \( U = u \times \text{Volume} = (\frac{1}{2} \varepsilon_0 E^2) \times (Ad) \).
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