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Annealing amorphous ribbons in a field in the plane at an angle to the long axis induces an easy axis also at an angle to the long axis and decreases the domain width. These effects result in a decrease in the 60-Hz losses and for domain rotations of less than approximately 5°, there is no increase in exciting voltamperes or decrease in remanence. For domain rotations of greater than about 5° the losses continue to decrease, but the exciting voltamperes increase and the remanance decreases. These effects are consistent with the domain rotation induced by the annealing.