Aslab of insulating material has thickness 2d and is oriented so that its faces are parallel to the z-plane and given by the planes x=d and x= - d.
the y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite.
the slab has a uniform positive charge density \rho.
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 magnitude of the electric field due to the slab at the points 0< =x< =d.
c)what is the direction of the electric field due to the slab at the points 0< =x< =d ?
d)using gauss's law, find the magnitude of the electric field due to the slab at the points x> =d . express your answer in terms of the variables \rho, x, d, and epsilon_0.
e) what is the direction of the electric field due to the slab at the points x> =d?