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Potential at all points due to uniformly charged infinite cylinder

  1. Sep 15, 2014 #1
    1. The problem statement, all variables and given/known data
    Infinitely long cylinder of radius R with uniform charge ρ. Calculate the electric potential at all points in space.


    2. Relevant equations

    V(a)-V(b)=-∫ba[itex]\vec{E}[/itex]([itex]\vec{r}[/itex]')°dr'[itex]\hat{r}[/itex]

    3. 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!
     
  2. jcsd
  3. Sep 16, 2014 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    It is right, but better to show your work.

    ehild
     
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