A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is A(m²) the energy (joule) stored in the condenser is

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

Solution

1 half straight epsilon subscript straight o straight E squared Ad

The energy stored in the condenser
$straight U space equals space 1 half CV squared straight U space equals 1 half open parentheses Aε subscript straight o over straight d close parentheses left parenthesis Ed right parenthesis squared space open parentheses therefore space straight C space equals space Aε subscript straight o over straight d space and space straight V space equals space Ed close parentheses straight U space equals space 1 half straight epsilon subscript straight o straight E squared Ad$

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