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The energy stored in a capacitor is \$\frac{1}{2}C\times{}V^2\$. Yet a potential difference is itself a measure of the energy stored per unit of charge. (with units Joule per Coulomb). Shouldn't the voltage across a capacitor directly relate, then, to the amount of energy it stores, instead of the square root of it?
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edited yesterday
TimWescott
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stickynotememostickynotememo
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Because the surface area of a right-angled triangle grows quadratically with the length of its leg ;-).
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– Peter - Reinstate Monica
Commented
16 hours ago
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More voltage means more charge, and also more energy per charge.
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– Peter Cordes
Commented
12 hours ago
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