1. Not finding help here? Sign up for a free 30min 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!

Electromagnetism - Quadrupole , Octupole

  1. Nov 3, 2009 #1
    1.Calculate the electric field of a quadrupole in spherical coordinates.

    2.Calculate the electric field of a octupole in spherical coordinates.
     
  2. jcsd
  3. Nov 4, 2009 #2
    There seems to be missing some information here. How exactly are those multi-poles arranged? equal charges? equal distances? Regular polygons? "a quadupole" or "an octopole" are very wide terms indeed
     
  4. Nov 4, 2009 #3

    clem

    User Avatar
    Science Advisor

    Use the multipole expansion for the potential in terms of Legendre polynomials for the case of an axially symmetric chargel distribution. If itr is not axially slymmetric, you need the spherical harmonic expansion.
     
  5. Nov 9, 2009 #4
    Also see Boas (Math Methods) Ch. 12 sect.5 ex. 1 for future reference. Solution if You have 2 +ve charges Q at +/- "a" on y axis and 2 -ve charges Q at +/- "a" on x axis is [tex]V=\frac{-3Qa^{2}cos(2\theta)}{4\pi\epsilon_{0}r^{3}}[/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Electromagnetism - Quadrupole , Octupole
  1. Electromagnetic force (Replies: 7)

  2. Electromagnetic force (Replies: 1)

Loading...