47. (III) A flat slab of nonconducting material has thickness 2d, which is small compared to its height and breadth. Define the x axis to be along the direction of the slab's thickness with the origin at the center of the slab (Fig. 22-41). If the slab carries a volume charge density PE(x) = -Po in the region -d < x <0 and Pe(x) = +Po in the region 0 < xs +d, determine the electric field E as a function of x in the regions (a) outside the slab, (b) 0 < xs +d, and (c) -d s x < 0. Let po be a positive constant. + +d
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