Classical Mechanics and Electromagnetism in Accelerator Physics by Gennady Stupakov & Gregory Penn

Author:Gennady Stupakov & Gregory Penn
Language: eng
Format: epub
ISBN: 9783319901886
Publisher: Springer International Publishing

(11.4)

Here the vector is drawn from the current position of the particle to the observation point, , and denotes the following expression:

(11.5)

As follows from Eq. (B.17), the moving charge also carries a magnetic field,

(11.6)

The magnetic field points in the azimuthal direction, with the magnetic field lines encircling the z-axis.

The above result can also be obtained through the Lorentz transformation of the potentials. Indeed, in the particle rest frame we have the Coulomb electrostatic potential and zero vector potential ,

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