Multipole Expansion - Examples of Multipole Expansions

Examples of Multipole Expansions

There are many types of multipole moments, since there are many types of potentials and many ways of approximating a potential by a series expansion, depending on the coordinates and the symmetry of the charge distribution. The most common expansions include:

  • Axial multipole moments of a potential;
  • Spherical multipole moments of a potential; and
  • Cylindrical multipole moments of a potential

Examples of potentials include the electric potential, the magnetic potential and the gravitational potential of point sources. An example of a potential is the electric potential of an infinite line charge.

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    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)