A sensor device for examining the surfaces of a work piece, in particular in regard to burrs, is provided wherein said device comprises a probe shaft having a detector head with at least one inductive element, wherein said at least one inductive element couples inductively to the work piece, and wherein the at least one inductive element is constructed and arranged in such a manner that, with respect to a longitudinal axis of the probe shaft, the detector head has a field of view surrounding the probe shaft.