Deriving Electric Field for Quadropole Configuration

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jegues
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Homework Statement



See figure attached for the problem statement.

Textbook figure of an electric quadrupole: charges +q, -q, -q, +q in a row with spacing d, dipole moments -p and +p drawn as arrows below, and point P a distance z from the center on the axis.


Homework Equations





The Attempt at a Solution



I'm having some trouble getting started... How should I start to derive this result?

Should I focus on one dipole with respect to the point P and then proceed to the other?

Once I obtain the 2 results I can add them together to obtain my final E.

What should I be asking myself/thinking about?

Thanks again!
 
Attachments
  • Textbook figure of a linear electric quadrupole: charges +q, -q, -q, +q spaced along a line with separations d, with dipole moments -p and +p marked below, and point P a distance z from the center along the axis.
    CH22-Q21.JPG
    49.2 KB · Views: 534
Thanks for the post, but as of right now I'm mainly focused on solving this problem specifically. I've been stuck on it for quite some time.