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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

Example text

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 + ' /^ this 31 becomes as above the former of the two double integrals being taken for each pair of elements of the contour of the shell. The These two terms are of the same order of magnitude. energy therefore is not in this case represented by the integral The whole energy of the mass placed field is Cr^fdV + + (K cZflx , *dd , in the given external 2 + ** /Y/V ******* , .

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An Electromagnetic Hypothesis of the Kinetics of Heterogeneous Equilibrium, and of the Structure of by Harkins W. D.


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