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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

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