Multidomain analytical-numerical solution for a rotating magnetic field with a finite-length conducting cylinder

摘要

This paper treats the rotating magnetic field produced by a cylindrical sheet of temporally and azimuthally periodic axial electric current with a finite-length, electrically conducting cylinder surrounded by an electrical insulator inside the current sheet. As the frequency is increased, the magnetic field produced by the induced current in the cylinder cancels progressively more of the current-sheet magnetic field in the interior of the cylinder. This paper presents results for several different frequencies and for several different length-to-diameter ratios for the cylinder. It compares the results at the midplane of a long cylinder to the analytical solution for an infinitely long cylinder. It also compares results for a high frequency to the predictions from the first two terms in an asymptotic expansion for high frequency.