3. Energy of a non-uniform spherical charge distribution. Distribute charge onto a sphere of radius R so that the charge density is
PRR
>>0 otherwise,
o(r)
(2)
where R is the volume charge density at the edge.
a) Compute the potential V and electric field E everywhere.
(b) Compute the energy of this charge distribution, using V and
c) Compute the energy of this charge distribution, using E.