A flux compensated rotational position detector includes a rotating element having a plurality of magnetic poles extending over its entire periphery, and a fixed element having a plurality of protruding fixed-element magnetic poles with fixed-element magnetic pole teeth opposing the rotating element, and first and second compensating poles disposed on either side of the fixed-element magnetic poles, the first and second compensating poles having respective first and second magnetic pole teeth opposing the rotating element, wherein the fixed element does not form a closed magnetic path around the entire periphery of the rotating element, magnetizing windings are provided on all of the first and second compensating poles and the fixed-element magnetic poles, and sine output and cosine output windings are provided on each of the fixed element magnetic poles. Methods for operating the detector are also described.