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  4. A parallel plate capacitor has a uniform electric 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 capacitor is: (ε0=. permittivity of free space)

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Q. A parallel plate capacitor has a uniform electric 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 capacitor is : $\left(\varepsilon_{0}=\right.$ permittivity of free space)

NEETNEET 2021Electrostatic Potential and Capacitance

Solution:

Energy density $u=\frac{1}{2} \varepsilon_{0} E^{2}$
Total energy stored, $U=u \times(A d)$
$=\frac{1}{2} \varepsilon_{0} E^{2} A d$