A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-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 .

Part B Using Gauss's law, find the magnitude of the electric field due to the slab at the points 0≤x ≤d . Express your answer in terms of the variables rho , x , d , and ϵ 0 .

Part C What is the direction of the electric field due to the slab at the points 0≤x ≤d ? What is the direction of the electric field due to the slab at the points ?

Part 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 ϵ 0 .

Part E What is the direction of the electric field due to the slab at the points x≥d ?