Consider a rectangle with diagonal length (2 a) in the (y z) plane with the origin at

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Consider a rectangle with diagonal length \(2 a\) in the \(y z\) plane with the origin at the center of the rectangle. Four beads, each carrying charge \(q\), are placed on the rectangle perimeter, one bead at each corner. Show that the electric field along the \(x\) axis is given by

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