A parallel plate capacitor has a uniform electric field ' overrightarrow{mathrm{E}} ' in spa

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2. Electric Potential and Capacitance

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A parallel plate capacitor has a uniform electric field ' $\overrightarrow{\mathrm{E}}$ ' in the space between the plates. If the distance between the plates is ' $\mathrm{d}$ ' and the area of each plate is ' $A$ ', the energy stored in the capacitor is : $\left(\varepsilon_{0}=\right.$ permittivity of free space)

A

$\frac{1}{2} \varepsilon_{0} \mathrm{E}^{2}$

B

$\varepsilon_{0} \mathrm{EAd}$

C

$\frac{1}{2} \varepsilon_{0} E^{2} \mathrm{Ad}$

D

$\frac{\mathrm{E}^{2} \mathrm{Ad}}{\varepsilon_{0}}$

(NEET-2021)

Solution

Energy $=$ Energy density $\times$ volume

$=\frac{1}{2} \varepsilon_{0} E^{2} A d$

Standard 12

Physics

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