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## Homework Statement

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.

## Homework Equations

V=-integral E.dl

gausses law

## 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.

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