Gauss' Law: Integral and Differential Forms

Consider a slab of charge that is infinite in the 'y' and 'z' directions and that has thickness 'a' in the 'x' direction, extending from x=-a/2 to x=a/2. The charge density inside the slab is given by Equation (5). Outside the slab the charge density vanishes. Find the electric field everywhere in space using Gauss' Law in integral and differential forms.


Equations
Figure 1
Equations





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