Electrodynamics : Oscillating Quadrupole

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  • #1
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Homework Statement


Find E for a quadrupole, oscillating sinusoidally. The method suggested is to take two Hertzian dipoles, a distance 'a' apart, and find the superposition of the two. They both have an equal dipole moment, and angular velocity, but have a phase difference of pi between them.

Homework Equations


Oscillating E field for a dipole;

a06d3b8afae0ef96396586732f895e1d.png


The Attempt at a Solution


I'm just having difficulty trying to visualise how the two out of phase Hertzian dipoles will superpose together. I can kind of see how after doing the correct expansion, terms will disappear as the 1/r and sin terms in the denominator will be negligible compared to those in the phase of the exponent. I just need a more basic outline of how to set the problem up. Any help is much appreciated.
 

Answers and Replies

  • #2
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do I just start off saying that the magnetic quadrupole moment is;

p = (Coswt + Sinwt) z?

Edit - made a silly mistake, the angle between them is pi and not pi/2, so it's not sine and cosine, it's just a linear combination of sines.
 
Last edited:
  • #3
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This problem has been confusing me too.
 

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