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.
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.