1. The problem statement, all variables and given/known data calculate the electric potential for the following: A cylindrical cable with a center rod of diameter a surrounded by a gap and a thick pipe with inner and outer radii b & c. The charge distribution on the inner rod is ρ = k cos(sπ/2a), and the outer rod has a uniform charge density such that the total system is neutral. 2. Relevant equations V=-integral E.dl gausses law 3. The attempt at a solution i calculated the electric field everywhere, but im not sure how to go about calculating V. My best guess is to calculate V the cylinder, setting my reference point at infinity and then work my way inside the cylinder, calculating V in each region. But since the total system is neutral, the integral gives V=0 for outside the cylinder, which I have a feeling is incorrect... My book doesn't really have any examples or explanations for charge distributions of this type so I just wanted to know if im on the right track.