Abstract
Ampere's problem of a cylindrical magnet free to rotate about its axis when a current enters at some point on the side of the magnet and leaves along the axis is treated by applying Ampere's original formula directly to the amperian currents which, according to the most commonly accepted theory, account for the magnetic properties of a body. For the torque on a symmetrically magnetised magnet, an expression in agreement with that of Zeleny and Page, and Kimball is obtained. However, this method of attack indicates that this torque is due only to the current in the portions of the circuit not attached to the magnet, contrary to the conclusion of Zeleny and Page. In the case of an asymmetrically magnetised magnet, it is found that the same expression holds provided only that the current is symmetrical in the portion of the circuit not mechanically attached to the magnet. This shows that the expression is more general than indicated by Zeleny and Page, in that they employed a symmetrical distribution of current within as well as without the magnet.
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