A magnetic resonance system has multiple individual transmission antennas each charged with a transmission current to emit an individual excitation field in an examination volume to excite magnetic resonances in a subject in the examination volume, with a total excitation field being a superimposition of the individual excitation fields. A determination device is provided with a spatial distribution of an absorption rate of the examination subject and determines a combination of amplitudes and phase positions for the transmission currents relative to one another such that a locally absorbed power at a first point of the examination subject relative to a locally absorbed power at a second point of the examination subject satisfies a relative condition. The determination device communicates the combination of amplitudes and phase positions that it has determined to a control device. The control device charges the transmission antennas with transmission currents whose phase positions correspond with the phase positions communicated by the determination device and whose amplitudes are scaled with a uniform scaling factor for all transmission currents relative to the amplitudes communicated by the determination device.