A spherical charge distribution has a volume charge density that is a

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 ≤ rR

 

(b) ρ = ρ0 (i.e. constant) for 0 ≤ r ≤ R

 

 

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