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I've dissected several hard disk drives to scavenge the "linear" motors which move the read-write heads across the disk platens. At first glance these look simple enough. There is a pair of high energy permanent magnets in a yoke which provide a circular sector shaped high magnetic field in a gap ~1/8" wide. The yoke provides a good magnetic circuit with low leakage. The motor armature consists of a circular sector single coil winding loop that is held in the gap by a bearing such that it is free to rotate. When a current is applied to the winding a force is developed (as expected) from the ##I\times B##. Now, from the magnet/yoke design I would expect a uniform ##B##-field in the gap. If this is the case then ##I\times B## should sum to zero (provided the field is uniform). If it's not uniform then this is a really poor looking design. Obviously I'm missing something.