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Homework Help: D/dx of the electric potential

  1. Feb 28, 2005 #1
    By differentiating the electrostatic potential

    \Phi(\vec{r}) = \int\int_{\Omega} \frac{k_e dq(\vec{r'})}{|\vec{r}-\vec{r'}|}[/tex]

    with respect to x, y, and z, and asumming that [tex]\Omega[/tex] is independent of x,y, and z show the electric field, can be writen as


    the problem is how to do I do the diriv of the the dq(r') function? no idea...probley chain rule any hints also help
  2. jcsd
  3. Feb 28, 2005 #2


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    You're differentiating with respect to the unprimed coordinates so dq(r) is treated as a constant.
  4. Mar 1, 2005 #3


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    There's no connection between "r" and "r' ".You can see that by taking a look at the derivation of that formula...Namely the variables of the Green function are naturally assumed to be independent...

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