An infinite slab of conducting material with a thickness of 2d lies in the x-y plane between z = -d and z = d. The charge per unit area is constant throughout the slab.
a) Use Gauss' law to calculate the electric field inside the slab.
b) Use Gauss' law to calculate the electric field outside the slab.
c) Sketch a plot of electric field and electric potential as a function of z, from z = -3d to z = 3d. Assume the electric potential in the center of the slab is zero.