A magnetic resonance system has a primary RF transmitting antenna and at least one secondary RF transmitting antenna. Both antennas generate RF excitation fields in an examination volume. At least one of the primary and secondary transmitting antennas has a control element connected thereto, which allows an amplitude ratio and/or a phase difference of the respective excitation currents in the antennas to be set by a control and evaluation device. The control and evaluation device causes the excitation current in the secondary transmitting antenna to have a smaller amplitude than the excitation current in the primary transmitting antenna, so that the excitation field generated by the secondary transmitting antenna has a smaller spatial extent in the examination volume than the excitation field generated by the primary transmitting antenna.