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Electric quadrupole field

  1. May 12, 2012 #1
    Hello,
    I want to derive the electric field vector from a quadrupole potential.
    I am starting from
    faculty.physics.tamu.edu/pope/em603.pdf (6.32)
    and I am considering E=-∇[itex]\phi[/itex]
    with [itex]\phi[/itex]=1/2 Qijxixj/r5
    I am very unsure if I carry out the thing properly, I would appreciate your comments:

    Ek=1/2 ∂k(Qij xixj/r5)
    =Qijkxixj/r5 - 5xkxixj/r7
    =Qijkinj-5nkninj)/r4

    with ni=xi/r

    Now, what is the meaning of δkinj ?! Can it be anyhow simplified?

    Thanks for reading!
     
  2. jcsd
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