A cylinder conductor with radius 2R and length L carries a uniformly distributed net charge Q. This conductor is surrounded by a concentric cylindrical shell with inner radius 2R and outter radius 4R consisting of a linear dielectric with dielectric constant k.
a) what are the surface bound charge densities at r=2R and at r=4R
b) what is the volume charge density in the dielectric
c) what is the potential difference between r=R and r=5R