The paper attempts a critical discussion of the situation pertaining to the magnetic field in a piece of magnetized iron, particularly in relation to the deflecting force which it produces on high speed charged particles passing through it. On the Lorentzian theory the magnetic induction, B, is the average value of the true magnetic field H, averaged throughout the magnetic material. In this average, regions inside the magnetic entities responsible for the polarization make contributions which determine the whole difference between B and the ordinary macroscopically defined field, h, equal to B-4πI. A study is made of the special case where the entities are rotating electrically charged spheres. If the entities are very small in volume the chance of a point electron missing all of them in its passage through a reasonably small length of the magnetized material is considerable. It appears that for such electrons as miss the entities the effective deflecting force is determined on the average by h+2πI. The true average for all electrons passing through the material is determined by B=h+4πI; but, that average is contributed to in appreciable amount by very few electrons which experience deflections much in excess of those determined by B. These considerations have important consequences in relation to the interpretation of experimental results.
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W. F. G. Swann (1936) studied this question.
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