(C) The energy density '$u$' in a region with an electric field '$E$' is given by $u = \frac{1}{2} \epsilon_0 E^2$.Total energy '$U$' stored in the ca

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(C) The energy density '$u$' in a region with an electric field '$E$' is given by $u = \frac{1}{2} \epsilon_0 E^2$.Total energy '$U$' stored in the capacitor is the product of energy density and the volume '$V$' of the space between the plates.The volume '$V$' is given by $V = A \times d$.Therefore, the total energy stored is $U = u \times V = (\frac{1}{2} \epsilon_0 E^2) \times (Ad) = \frac{1}{2} \epsilon_0 E^2 Ad$.

Class 12 Physics Electric Potential and Capacitance Energy Stored in a Capacitor

Medium

$A$ parallel plate capacitor has a uniform electric field '$E$' in the space between the plates. If the distance between the plates is '$d$' and the area of each plate is '$A$', what is the energy stored in the capacitor?

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A
$\frac{1}{2}\epsilon_0 E^2$
B
$\epsilon_0 EAd$
C
$\frac{1}{2}\epsilon_0 E^2 Ad$
D
$\frac{E^2 Ad}{\epsilon_0}$

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Class 12

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Electric Potential and Capacitance

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Energy Stored in a Capacitor

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$A$ parallel plate capacitor has a uniform electric field '$E$' in the space between the plates. If the distance between the plates is '$d$' and the area of each plate is '$A$', what is the energy stored in the capacitor?

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