By Harkins W. D.
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Extra resources for An Electromagnetic Hypothesis of the Kinetics of Heterogeneous Equilibrium, and of the Structure of
Y, z is /, the above equation If Fj denote the potential at the point , distribution is equivalent to where VOL. i is II. the line through ,-. f, r), f parallel to the given direction of C 18 MAGNETIC POTENTIAL. [290. If the magnetisation be uniform throughout in magnetisation. as direction, the equation becomes as well intensity r diJJJ di the potential at f rj, of a mass of uniform density the volume of the unity occupying given substance. ] where F" is , distribution at any law, point, either uniform or varying according to at once by mere differentiation determine the any we can potential at that point of a corresponding magnetic distribution of given intensity and uniform direction.
If X, 7, required, If / / it Z be the components of the force, W the energy follows that we denote the Wdxdydz by IK, UAdxdydz^ integrals / mK, and nK // \Bdxdydz, and respectively, the above ex- pression becomes W = -JT/jfY^Xf m Y + nZT) dx dy dz. P + m* + n* = l, K is called the magthe quantity moment of the magnet, and the line whose direction-cosines are I, m, n is called the axis of the magnet. If R denote the constant force, and e the angle between -Fand If, further, netic the axis of the magnet, the potential energy W is given by W = -RKco8.
If the energy required be that of the lamellarly magnetised mass in its own field, then we have by Art. 304, where e is dx dy dy dz dz 2 + ' /^
An Electromagnetic Hypothesis of the Kinetics of Heterogeneous Equilibrium, and of the Structure of by Harkins W. D.