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!

Electric field due to a charged ring off-axis

  1. Mar 27, 2007 #1
    How can i find the electric field due to a charged ring off-axis? Actually i have two ring electrodes in parallel and i would like to know how to find the electric field at any point in between the ring electrodes?
  2. jcsd
  3. Apr 7, 2007 #2

    Meir Achuz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    This is treated in advanced EM texts.
    The steps for one ring are:
    1. Find phi on ths axis.
    2. Expand phi in a Taylor series for either z>a or z<a.
    3. Use this expansion to write the Legendre polynomial expansion for all
    angle. Use phi=\sum r^L P_L(cos\theta) (or 1/r^{L+1}).
    4. Take grad phi to get E.
    The result is a bit messy for two rings, but it can be done.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook