Interior Axial Multipole Moments
Conversely, if the radius r is smaller than the smallest for which is significant (denoted ), the electric potential may be written
where the interior axial multipole moments are defined
Special cases include the interior axial monopole moment ( the total charge)
,
the interior axial dipole moment, etc. Each successive term in the expansion varies with a greater power of, e.g., the interior monopole potential varies as, the dipole potential varies as, etc. At short distances, the potential is well-approximated by the leading nonzero interior multipole term.
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