1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Homework Helper

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


    User Avatar
    Science Advisor
    Homework Helper

    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...

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook