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Demagnetizing factors of rectangular prisms and ellipsoids

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3 Author(s)
Chen, Du-Xing ; Instituto Magnetismo Aplicado, UCM-RENFE-CSIC, Madrid, Spain ; Pardo, Enric ; Sanchez, Alvaro

We evaluate, using exact general formulas, the flux-metric and magnetometric demagnetizing factors, Nf,m, of a rectangular prism of dimensions 2a×2b×2c with susceptibility χ=0 and the demagnetizing factor, N, of an ellipsoid of semiaxes a, b. and c along the c axis. The results as functions of longitudinal and transverse dimension ratios are listed in tables and plotted in figures. The three special cases of b≫(ca)1/2, b≪(ca)1/2 , and a=b are analyzed together with the general case, to quantitatively show the validity of approximate formulas for special cases. Nf,m of prisms with any given values of χ may be estimated to an accuracy about 10%, since 1) Nf,m of prisms with a=b are very near those of cylinders, for which the χ dependence has been calculated quite completely; 2) the χ dependence of the transverse Nf,m of prisms with b=∞ (rectangular bars) have recently been calculated completely; and 3) Nf,m(X=∞) for prisms of great longitudinal dimension ratios are close to N of the corresponding ellipsoids. Thus, the existing very incomplete results can be used in some cases satisfactorily, although much work has to be done before the actual χ dependence of Nf,m is available as it is for cylinders

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Magnetics, IEEE Transactions on  (Volume:38 ,  Issue: 4 )