Consider a thin rectangle of length a and width b with total electric charge Q(e

Question

Consider a thin rectangle of length a and width b with total electric charge Q(e)0 uniformly distributed over its area. Impose a coordinate system with the origin at the center of charge. With this choice, the electric dipole moment of the rectangle is obviously 0 rightarrow. Also, choose the z-axis to be perpendicular to the rectangle, choose the x-axis to be parallel to its length, and choose the j-axis to be parallel its width. Show that the electric quadrupole moment of this rectangle charge is given by the following.

Explanation / Answer

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