Consider four charges, equal in magnitude. Two positive charges are located at (x, y) = (1,1) and

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Consider four charges, equal in magnitude. Two positive charges are located at (x, y) = (1,1) and (−1,−1) and two negative charges are at (1,−1) and (−1,1). Calculate the nonzero components of the Cartesian quadrupole tensor, using arbitrary units. Then find a new coordinate system for these charges that diagonalizes the quadrupole tensor.

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