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A slab of insulating material has a nonuniform positive charge density ρ = Cx2, where x is measured from the center of the slab as shown in Figure P23.45 and C is a constant. The slab is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (|x| > d/2) and (b) the interior region of the slab (−d/2 < x < d/2).
Figure P23.45
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