磁标势[Magnetic Scalar Potential] - 达人(其实～我是卧底，来自外星)

2005/10/05 | 磁标势[Magnetic Scalar Potential]
类别(Ω〖物理〗) | 评论(0) | 阅读(38) | 发表于 11:36: In MKS, magnetic field must satisfy the Maxwell equation
(1)

where is the permittivity of free space. If electric fields are not present or are slowly varying, displacement current can be ignored, then
(2)

If additionally there is almost no external current, then
(3)

So, to a good approximation,
(4)

Therefore, in this approximation, B can be represented as the gradient of a scalar function
(5)

Because there are no magnetic monopoles, another of the Maxwell equations gives
(6)

everywhere, so satisfies Laplace's equation
(7)

and can be written as a Laplace series
(8)

where is a generalized Legendre polynomial.; 0