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Revista mexicana de física
versión impresa ISSN 0035-001X
Resumen
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 Adip(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 Adip(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.
Palabras llave : Rotating charge distribution; magnetic vector potential; bobbins; magnetic dipole expansion; quark confinement; magnetic field.