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Spherical multipole moments are the coefficients in a series expansionof a potential that varies inversely with the distance R to a source, i.e., as 1/R. Examples of such potentials are the electric potential, the magnetic potential and the gravitational potential.

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  • Spherical multipole moments are the coefficients in a series expansionof a potential that varies inversely with the distance R to a source, i.e., as 1/R. Examples of such potentials are the electric potential, the magnetic potential and the gravitational potential. For clarity, we illustrate the expansion for a point charge, then generalize to an arbitrary charge density . Through this article, the primed coordinates such as refer to the position of charge(s), whereas the unprimed coordinates such as refer to the point at which the potential is being observed. We also use spherical coordinates throughout, e.g., the vector has coordinates where is the radius, is the colatitude and is the azimuthal angle. (en)
  • 對於與源位置的距離呈反比的位勢,其球多極展開所得到的係數稱為球多極矩(Spherical multipole moments)。例如,電勢、磁向量勢、重力勢等等,都是這種位勢。 (zh)
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  • 對於與源位置的距離呈反比的位勢,其球多極展開所得到的係數稱為球多極矩(Spherical multipole moments)。例如,電勢、磁向量勢、重力勢等等,都是這種位勢。 (zh)
  • Spherical multipole moments are the coefficients in a series expansionof a potential that varies inversely with the distance R to a source, i.e., as 1/R. Examples of such potentials are the electric potential, the magnetic potential and the gravitational potential. (en)
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  • Spherical multipole moments (en)
  • 球多極矩 (zh)
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