A grounded metal plate is partially inserted into a parallel-plate capacitor with potential difference 2

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A grounded metal plate is partially inserted into a parallel-plate capacitor with potential difference ϕ2 − ϕ1 > 0 as shown in the diagram below. Find the elements of the capacitance matrix. Assume that all plates extend a distance d in the direction perpendicular to the paper. Ignore fringing fields.

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