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A variable capacitor, shown below, consists of two metal plates, each of size L x D separated by a distance d. The capacitance can be changed by moving the top plate horizontally. You may assume that d« Lor D. L D d x With plates fully overlapped such that the overlap distance x = L this system is connected to a supply of potential Vo, allowed to charge then isolated. The top plate is then moved. Derive an expression for the potential across the plates in terms of & the overlap distance,