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## Homework Statement

Infinitely long cylinder of radius R with uniform charge ρ. Calculate the electric potential at all points in space.

## Homework Equations

V(a)-V(b)=-∫

_{b}

^{a}[itex]\vec{E}[/itex]([itex]\vec{r}[/itex]')°dr'[itex]\hat{r}[/itex]

## The Attempt at a Solution

Generally potential is calculated with a reference point at r=∞ but in the case of an infinite cylinder I believe the integral above would diverge because the potential at ∞ (V(∞)) would not necessarily equal zero. What I did then is simply provide an arbitrary r' vector as the reference point and went through the problem as one would normally do so with a non-infinite charged object. Is this okay? Do I have to do something extra because of the non-zero reference point?

Thank you!