A parallel plate capacitor has a uniform electrinc field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy storedf in the capacitor is df and area of each plate is A, the energy stored in the capacitor is

$1 half straight epsilon subscript straight o straight E squared$
$straight E squared Ad divided by straight epsilon subscript straight o$
$1 divided by 2 space straight epsilon subscript straight o straight E squared Ad$
$straight epsilon subscript straight o EAd$

Solution

1 divided by 2 space straight epsilon subscript straight o straight E squared Ad

Energy density for a parallel plate capacitor
$equals 1 half straight epsilon subscript straight o straight E squared space and space volume space equals space Ad Total space energy space equals space energy space density space straight x space volume space equals space open parentheses 1 half straight epsilon to the power of straight o straight E squared close parentheses space straight x space left parenthesis Ad right parenthesis space equals space 1 half straight epsilon subscript straight o straight E squared Ad$

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