A magnetic resonance apparatus has an RF antenna unit, a gradient coil unit and an RF shield, the conductor structures of which are independent of one another. The RF shield is arranged between the RF antenna unit and the gradient coil unit, a first RF field return volume is arranged between RF the antenna unit (1, 29, 55A, and the gradient coil unit, the RF field return volume closes RF magnetic field lines of the RF antenna unit and is bordered by the RF shield on the side of the gradient coil unit. The conductor structure of the gradient coil unit occupies a first region. A second conductor-free region is within the first region, on the side facing the RF antenna unit, between a primary gradient coil unit and a secondary shim gradient coil unit of the gradient coil unit. The second conductor-free region is at least partially surrounded by the conductor structure of the gradient coil unit and is fashioned as a second RF field return volume in connection with the first RF field return volume. The RF shield proceeds between the RF field return volumes and the conductor structure of the gradient coil unit. The RF antenna unit is closer to the data acquisition region of the magnetic resonance apparatus than the gradient coil unit.