A sensor device includes an excitation magnet which generates an alternating excitation magnetic field, an energy generator having a pulse wire module in which electric energy pulses are generatable via the alternating excitation magnetic field, at least one sensor element which senses a physical variable and which provides a sensor signal, an evaluation unit which evaluates the sensor signal, and a wireless data interface which is connected to the evaluation unit via a data connection. The at least one sensor element and the evaluation unit are each electrically connected to the energy generator and are suppliable with an electric energy thereby.