Need help finding the electric potential

1. Nov 5, 2011

JFuld

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.

Last edited: Nov 5, 2011
2. Nov 5, 2011

Simon Bridge

this is sort of a cylindrical capacitor isn't it?