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Potential at all points due to uniformly charged infinite cylinder
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[QUOTE="oddjobmj, post: 4853114, member: 127165"] [h2]Homework Statement [/h2] Infinitely long cylinder of radius R with uniform charge ρ. Calculate the electric potential at all points in space. [h2]Homework Equations[/h2] V(a)-V(b)=-∫[SUB]b[/SUB][SUP]a[/SUP][itex]\vec{E}[/itex]([itex]\vec{r}[/itex]')°dr'[itex]\hat{r}[/itex] [h2]The Attempt at a Solution[/h2] 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! [/QUOTE]
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Potential at all points due to uniformly charged infinite cylinder
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