A generator of time-variable magnetic fields generator for a magnetic resonance apparatus has a primary gradient coil unit for generating of a gradient magnetic field in an examination region of the magnetic resonance apparatus. The primary gradient coil unit, for accommodating at least one gradient coil conductor, has a central region, an outer region and at least one connecting region connecting the two regions. The outer region surrounds the central region. At least one intervening space is disposed between the central region and the outer region. The intervening space is free of the gradient coil conductors of the primary gradient coil unit and a radio frequency antenna element is disposed therein. Such a generator enables an effective gradient field and RF field generation in a compact design combining a gradient coil and a radio-frequency antenna.