回旋加速公式[Cyclotron Formula] - 达人(其实～我是卧底，来自外星)

2005/01/03 | 回旋加速公式[Cyclotron Formula]
类别(Ω〖物理〗) | 评论(0) | 阅读(44) | 发表于 14:30: The cyclotron formula gives the radius r of a particle's orbit in a cyclotron, and can be derived by equating
(1)

For relativistic motion in cgs, this gives
(2)

where p is the momentum, v is the speed, c is the speed of light, and is the magnetic field. Solving for r gives
(3)

In MKS,
(4)

giving
(5)

The radius of a cyclotron orbit for nonrelativistic motion is obtained by plugging in p = mv to the relativistic formula, where m is the mass of the particle. In cgs, this gives
(6)

and the angular frequency is
(7)

In MKS,
(8)

and
(9); 0