Multipole expansions, calculating the various moments of point charges

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SUMMARY

This discussion focuses on the calculation of multipole expansions for point charges, emphasizing the importance of accurately determining various moments such as dipole and quadrupole moments. Participants confirm the correctness of the solutions provided, highlighting the clarity and thoroughness of the explanations. The discussion serves as a valuable resource for understanding the mathematical framework behind multipole expansions in electrostatics.

PREREQUISITES
  • Understanding of electrostatics and point charge interactions
  • Familiarity with multipole expansion concepts
  • Knowledge of mathematical techniques for calculating moments
  • Proficiency in vector calculus
NEXT STEPS
  • Study the derivation of dipole and quadrupole moments in electrostatics
  • Explore applications of multipole expansions in electromagnetic theory
  • Learn about computational tools for simulating multipole interactions
  • Investigate the role of multipole expansions in potential theory
USEFUL FOR

Students and professionals in physics, particularly those specializing in electrostatics, as well as researchers interested in theoretical and computational methods for analyzing point charge systems.

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   Reactions: vanhees71, hutchphd and PhDeezNutz
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Looks very good to me.
 
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I love your explanations and motivations. Very thorough.
 
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