Multipole expansions, calculating the various moments of point charges

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The discussion focuses on the calculation of multipole expansions for point charges, emphasizing the determination of various moments. Participants express satisfaction with the clarity and thoroughness of the solutions provided. There is a consensus that the explanations are well-articulated and effectively motivate the concepts. The overall tone is positive, with contributors appreciating the depth of understanding demonstrated. The conversation reinforces the importance of clear communication in complex physics topics.
milkism
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Homework Statement
Calculate the mono-di and quadrupole moments of the three charges.
Relevant Equations
See solution.
Problem:
a7a1f4ebf284a13000ba8221226cc7b1.png

Solution:
8abe8f08e8a11148085faa3cf6807ad7.png

This was quite simple, are my solutions correct?
 
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Likes vanhees71, hutchphd and PhDeezNutz
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Looks very good to me.
 
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Likes PhDeezNutz and milkism
I love your explanations and motivations. Very thorough.
 
(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...

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