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Electric potential at the charge

  1. Oct 17, 2011 #1
    1. The problem statement, all variables and given/known data
    What should I do when I calculate the potential of point charges at the point of one of the point charges?

    2. Relevant equations
    The definition of a potential from point charges are:
    [tex] \phi(\textbf{r}) = (4\pi \epsilon_0)^{-1}\sum_{i}[q_i |\textbf{r}-\textbf{r}_{q_i}|^{-1}] + C [/tex]
    3. The attempt at a solution
    Setting [itex]q_i |\textbf{r}-\textbf{r}_{q_i}|^{-1}=0[/itex] when [itex]\textbf{r}-\textbf{r}_{q_i}=\textbf{0}[/itex]. Haven't seen this anywhere in the lecture material though, but I am guessing that is what one should do. If so, what is the "real" definition of the potential?
     
  2. jcsd
  3. Oct 17, 2011 #2

    vela

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    The potential diverges as the location of the point charges. It's not defined there.
     
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