If we multiply the energy density by the volume between the plates, we obtain the amount of energy stored between the plates of a parallel-plate capacitor: U C = u E (A d) = 1 2 ε 0 E 2 A d = 1 2 ε 0 V 2 d 2 A d = 1 2 V 2 ε 0 A d = 1 2 V 2 C. [pdf]
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