2005/01/15 | 电四极子[Electric Quadrupole]
类别(Ω〖物理〗) | 评论(0) | 阅读(123) | 发表于 15:04
The electric quadrupole is the third term in an electric multipole expansion, and can be defined in MKS by
(1)

where is the permittivity of free space,R is the distance from the collection of charges, and is the electric quadrupole moment, which is a tensor.
For a point charge q located at a position R, let the z-axis lie along R, then

(2)

But the problem has cylindrical symmetry, so Furthermore, from the definition of the electric quadrupole moment,, so
(3)

The electric quadrupole potential is therefore

(4)


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