Abstract

AVILA, M.A.. Magnetic fields of spherical, cylindrical, and elipsoidal electric charge superficial distributions at rotation. Rev. mex. fis. [online]. 2003, vol.49, n.2, pp.182-190. ISSN 0035-001X.

The vector potentials A(r) produced by spherical, cylindrical, and elipsoidal uniform superficial distributions of electrical charge rotating at a constant angular velocity ω, are found. This is done by modeling such a distributions as if they were simple bobbins made of N loops of a very thin coil carrying a current I and calculating simply the dipolar potential A_dip(r) produced by them. Due that in the case of the spherical geometry the potential A(r) has already been calculated its value is used as a consistence test of the present approach, for the two other geometries the analytical calculation of the potentials is not so trivial by this reason the equalness between A_dip(r) and A(r) is proved trough a numerical evaluation of the complex integrals appearing in the Biot-Savart expression for A(r). The respective magnetic fields generated by these three rotating distributions have an identical structure: they are constant inside the surfaces while outside them they are dipolar-like (nearby to radiation zone). An application of the above results to quark confinement inside hadrons is proposed.

Keywords : Rotating charge distribution; magnetic vector potential; bobbins; magnetic dipole expansion; quark confinement; magnetic field.