The theorem on the magnetic field of rotating charged bodies
| Autor: | Sergey G. Fedosin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Surface integral Rotational symmetry Charge density Spherical coordinate system Classical Physics (physics.class-ph) FOS: Physical sciences magnetic field Physics - Classical Physics Condensed Matter Physics Rotation Charged particle Biot-Savart law Electronic Optical and Magnetic Materials Volume integral Magnetic field Classical mechanics vector potential |
| Popis: | The method of retarded potentials is used to derive the Biot-Savart law, taking into account the correction that describes the chaotic motion of charged particles in rectilinear currents. Then this method is used for circular currents and the following theorem is proved: The magnetic field on the rotation axis of an axisymmetric charged body or charge distribution has only one component directed along the rotation axis, and the magnetic field is expressed through the surface integral, which does not require integration over the azimuthal angle . In the general case, for arbitrary charge distribution and for any location of the rotation axis, the magnetic field is expressed through the volume integral, in which the integrand does not depend on the angle . The obtained simple formulas in cylindrical and spherical coordinates allow us to quickly find the external and central magnetic field of rotating bodies on the rotation axis. 24 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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