(22-47) A flat slab of nonconducting material has thickness 2d, which is small compared to its heigh

(22-47) 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 ρ_E(x)=−ρ_0 in the region [−d,0] and ρ_E(x)=+ρ_0 in the region [0, +d], determine the electric field E as a function of x in the regions (a) outside the slab, (b) [0,+d], and(c) [−d, 0]. Let ρ_0 be a positive constant.