A position determining sensor unit having a number of sensors arranged at predetermined positions along a path, and a transducer. The transducer has a first end which is moveable at least along the entire path, and a length running parallel to the path. Each sensor has a first supply voltage connection, a second supply voltage connection and a switching output, and wherein the switching output is switched into an On-state or an Off-state as a function of the threshold value of a sensor signal being exceeded or undershot. The supply voltage connection of each sensor is connected to a supply voltage, and a first sensor is arranged at a beginning of the path and a last sensor is arranged at an end of the path so that the second supply voltage connection of the first sensor is connected to a reference potential and the first sensor has a power consumption.