Multipole expansions, calculating the various moments of point charges

Thread starter milkism
Start date Apr 23, 2023
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Charges Electrostatic Moments Multipole Multipole expansion Point Point charges

In summary, a multipole expansion is a mathematical technique used to calculate the electric potential and electric field of a system of point charges by expressing them as an infinite series of terms. The moments of point charges can be calculated using a formula that takes into account the charge and distance of each point charge. The different types of multipole moments include monopole, dipole, quadrupole, octupole, and higher order moments, which represent various aspects of the overall charge distribution. Multipole expansions are used in various areas of physics, particularly in calculating the potential and field of complex charge distributions. They can also be applied to continuous charge distributions by using an integral instead of a summation in the formula.

Apr 23, 2023

#1

milkism

Homework Statement: Calculate the mono-di and quadrupole moments of the three charges.

Relevant Equations: See solution.

Problem:

Solution:

This was quite simple, are my solutions correct?

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Apr 23, 2023

#2

TSny

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Looks very good to me.

Apr 23, 2023

#3

PhDeezNutz

I love your explanations and motivations. Very thorough.

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