毕奥-萨伐尔定律[Biot-Savart Law] - 达人(其实～我是卧底，来自外星)

2005/08/31 | 毕奥-萨伐尔定律[Biot-Savart Law]
类别(Ω〖物理〗) | 评论(0) | 阅读(139) | 发表于 20:34: The Biot-Savart law, also known as Ampère's law or Laplace's law is equivalent to the steady state Maxwell equation in free space, and relates the a spatially varying magnetic field to the current density. In cgs, it is given by
(1)

where denotes the curl,B is the magnetic field, c is the speed of light, J is the current density. In MKS,
(2)

where is the permeability of free space.
For a continuous distribution in cgs
(3)

and in MKS
(4)

For a wire carrying current I in cgs
(5)

where is a differential length element of wire, and in MKS
(6)

where

For a point charge q moving with velocity v in cgs
(7)

and in MKS
(8); 0