A sensor device is disclosed having a controller (9) which defines at least a first operating state (b1) and a second operating state (b2), the first operating state being preferably triggerable by application of a supply voltage (U.sub.B). A setting facility (5) adapts the operating range of a measuring facility (2) quickly to the respective DC level (s0) of a sensor signal (s1) in the first operating state (b1), and determines a mean sensor signal value (sm) for tracking purposes in the second operating state (b2). An output circuit (4) provides a first output signal (s3) independent of the sensor signal (s1) in the first operating state and a second output signal (s4) dependent on the superposed sensor signal (s2) in the second operating state (b2).