Fast calculation of the magnetic field in the system with radial current-carrying using thin sheet inductors

This paper deals with an efficient approach for determining the magnetic field in systems with radial current carrying using thin sheet conductors. The obtained expressions permit to considerably reduce computational time compared to other known methods (filament method, FEM, BEM). All results are obtained in analytical form over incomplete elliptical integrals of the second and third kinds. These expressions can be usefully employed to calculate the magnetic fields in more complicated geometries and may be used to evaluate the self- and mutual-inductance coefficients in systems with thin and massive conductors. In this paper, as a comparative method regarding the accuracy and computational cost, we use the well-known filament method.