Category:
Mathematics

A spherical charge distribution has a volume charge density that is a function only of *r*, the distance from the center of the distribution (i.e. ρ = ρ(*r*)). If ρ(*r*) is given below, determine the electric field as a function of *r* using Gauss’s Law.

(a) ρ = *A*/*r* with *A* constant for 0 ≤ *r* ≤ *R*

(b) ρ = ρ_{0} (i.e. constant) for 0 ≤ r ≤ R