A capacitor consists of two closely spaced metal conductors of large area, separated by a thin insulating foll. It has an electrical capacity of $4000\mathrm{.}0F$ and is charged to a potential difference of $81\mathrm{.}0V.$ Calculate the amount of energy stored in the capacitor.

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Calculate the charge on this capacitor when the electrical energy stored in the capacitor is $10\mathrm{.}37J.$

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If the two plates of the capacitor have their separation increased by a factor of $8$ while the charge on the plates remains constant, by what factor is the energy stored in the capacitor increased?

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