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毕奥-萨伐尔定律[Biot-Savart Law] [2005-8-31] iamet 发表在 Ω〖物理〗
| 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) | 学好数理化,走遍天下都不怕! | |
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