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(C) The energy density $u$ (energy per unit volume) in a parallel plate capacitor is given by the formula: $u = \frac{1}{2} \varepsilon_{0} E^{2}$.The

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

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(C) The energy density $u$ (energy per unit volume) in a parallel plate capacitor is given by the formula: $u = \frac{1}{2} \varepsilon_{0} E^{2}$.The volume $V$ of the space between the plates is the product of the area $A$ and the distance $d$,so $V = Ad$.The total energy $U$ stored in the capacitor is the product of the energy density and the volume:$U = u 	imes V$$U = (\frac{1}{2} \varepsilon_{0} E^{2}) 	imes (Ad)$$U = \frac{1}{2} \varepsilon_{0} E^{2} Ad$.

$A$ parallel plate capacitor has a uniform electric field $\overrightarrow{E}$ 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: ($\varepsilon_{0} =$ permittivity of free space)

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