Abstract
The paper considers a study of numerical methods for magnetic fields created by different systems of electric currents and a possibility of stable equilibrium of magnets in magnetic fields. Using the FORTRAN software, the unique algorithm for determination of the magnitude of magnetic induction at any point of space depending on the location and the form of permanent magnets or electromagnets has been developed, the algorithm allowed constructing a picture of magnetic field of a permanent magnetic bar or electromagnet. In addition, using the above-mentioned methods the forces exerting on the test magnet placed in a magnetic field of different configuration are defined; the possibility of a stable equilibrium of the test rotating magnet in magnetic fields of various configuration and the possibility for equilibrium of a ring conductor in a magnetic potential well have been studied.