$A$ 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 $A$,the energy stored in the capacitor is (where $\epsilon_{0}$ is the permittivity of free space).

• A
  $\frac{1}{2} \frac{\epsilon_{0} EA}{d}$
• B
  $\frac{1}{2} \epsilon_{0} E^{2} Ad$
• C
  $\frac{1}{2} \frac{\epsilon_{0} Ad}{E^{2}}$
• D
  $\frac{1}{2} \frac{\epsilon_{0} E^{2} A}{d}$