A Uniformly charge slab of insulating material has thickness 2d and is oriented so that is faces are parallel to the yz-plane and given by the planes x=d and x=-d The y and z dimension of the slab are very large compared o d and may be treated as essentially infinite. The slab has uniform positive charge density p.
A) Explain why the electric field due to the slab is zero at the center of the slab (x=0).
B) Using gauss's law, find the electric field due to the slab (magnitude and direction) at all points in space
C) A Nonuniformly charge slab repeat the problem but now let the charge density of the slab be given by p(x)=po(x/d)^2, where po is positive constant