The three-dimensional integration of the Biot-Savart law for conductors in the form of an annular sector, in which only a constant distributed, θ-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, for which the solution of Laplace's equation is known in closed form.
MAGNETIC-FIELD EVALUATION FOR THICK ANNULAR CONDUCTORS
TINA, Giuseppe Marco;
1993-01-01
Abstract
The three-dimensional integration of the Biot-Savart law for conductors in the form of an annular sector, in which only a constant distributed, θ-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, for which the solution of Laplace's equation is known in closed form.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
