1. For an infinite plane sheet of charge lying in the xy-plane with uniform surface charge density rS0 C/m2, find the electric field intensity on both sides of the sheet by using Gauss' law for the electric field in integral form and symmetry considerations.
2. Charge is distributed with uniform density r = r0 C/m3 in the region | x | 6 a. Using Gauss' law for the electric field in integral form and symmetry considerations, find E everywhere.