An inductively electrically excited synchronous machine is disclosed. The synchronous machine includes a stator group with a housing and a stator arranged in the housing and a rotor group with a shaft and a rotor that is non-rotatably connected to the shaft. The rotor group is rotatably arranged about an axis of rotation in the stator of the stator group. A bearing shield and a bearing fixed in the bearing shield are provided. The bearing shield axially closes the housing of the stator group and the bearing rotatably receives the shaft of the rotor group. An energy transmitter with a hollow-cylindrical magnetic core is provided. The magnetic core is arranged radially between the bearing shield and the bearing and partially forms the bearing shield.