Recall the definition of capacitance, C=Q/V, and the formula for the capacitance of a parallel-plate capacitor, C=ϵ0A/d, where A is the area of each of the plates and d is the plate separation. As usual, ϵ0 is the permitivity of free space.
First, consider a capacitor of capacitance C that has a charge Q and potential difference V.
Find the energy U of the capacitor in terms of C and Q by using the definition of capacitance and the formula for the energy in a capacitor.

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