A parallel plate capacitor has uniform electric field 'E' in the space between the plates. If the distance…

A parallel plate capacitor has uniform electric field 'E' in the space between the plates. If the distance between plates is 'd' and area of each plate is 'A', the energy stored in the capacitor is $\left(\epsilon_{0}=\right.$ permittivity of free space $)$
  1. $\frac{1}{2} \frac{\epsilon_{0} \mathrm{EA}}{\mathrm{d}}$
  2. $\frac{1}{2} \epsilon_{0} \mathrm{E}^{2} \mathrm{Ad}$
  3. $\frac{1}{2} \frac{\epsilon_{0} \mathrm{Ad}}{\mathrm{E}^{2}}$
  4. $\frac{1}{2} \frac{\epsilon_{0} \mathrm{E}^{2} \mathrm{~A}}{\mathrm{~d}}$

Solution

Total energy \(=\) energy density volume \(=\left(\frac{1}{2} \epsilon_{0} \mathrm{E}^{2}\right)(\mathrm{Ad})\)

Asked in: MHT CET 2020 (15 Oct Shift 1)

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