MAGNETIC-FIELD EVALUATION FOR THICK ANNULAR CONDUCTORS

The three-dimensional integration of the Biot-Savart's law for conductors in annular sector shape, in which only a constant distributed, theta-directed current flows, is reported. The obtained expressions allow a quick and accurate evaluation of the components of the vector potential of the stationary magnetic field and of the magnetic induction due to this type of conductor, in iron free-media. The relations presented in this paper, together with similar expressions, valid for other shapes of conductors and current distributions, can be usefully employed to evaluate the magnetic fields in complex, linear and iron-free structures, when the examined geometry can be well approximated with a series of current elements of elementary shape, of which solution of Laplace's equation is known in closed form.