A certain spherically symmetric charge configuration in free space produces an electric fi...

A certain spherically symmetric charge configuration in free space produces an electric field given in spherical coordinates by

where ρ0 is a constant. (a) Find the charge density as a function of position. (b) Find the absolute potential as a function of position in the two regions, r ≤ 10 and r ≥ 10. (c) Check your result of part b by using the gradient. (d) Find the stored energy in the charge by an integral of the form of Eq. (43). (e) Find the stored energy in the field by an integral of the form of Eq. (45).