A magnetic field production system is proposed and has a two-dimensional winding configuration with two windings. The windings are disposed essentially orthogonally with respect to one another and enclose a machine or system. The windings have winding axes that are essentially at right angles to one another, and which are supplied with alternating variables via two feed circuits. In order to produce a two-dimensional, rotating magnetic field, the two alternating variables are at the same frequency, have similar current amplitudes and similar voltage amplitudes, and are synchronized to one another. A phase shift of preferably 90 is set between the alternating variable of the first feed circuit and the alternating variable of the second feed circuit. Furthermore, a three-dimensional magnetic field, as well as an configuration for wire-free supply of a large number of sensors and/or actuators using a magnetic field production system are possible.