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Multipole expnsion non uniform charge charge distribution |
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Answer» Energy of a charge distribution in a spatially non-uniform external electric FIELD. We also derive the multipole expansion for the energy of two RIGID, non-overlapping charge distributions. The results are expressed in both cartesian tensor and circular tensor forms. Some interesting differences from the three-dimensional case emerge : for example, in any order the multipole moment has at most two INDEPENDENT components; and there is no unique preferred relative orientation for two interacting multipoles, which implies that in some respects, at least, the physics of a 2D fluid MAY differ appreciably from that of its 3D analogue. |
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