1308 
as long as H, is small with respect to 4, as we saw above. More- 
over, if HZ, was of the same order as A, the limit g would be 
reached already much sooner at a much greater intensity of the 
field, so that then this consideration would be superfluous. 
‘From this last expression follows now that for H, = 0 also M 
will be 0, which agrees with what we found above (where it must 
be taken into consideration that at the passage of the summation to 
the integration differences of the order w will be inevitable). As 
long as H, is very small, M increases. proportionally to H, according 
to the last formula till MZ, reaches such a value, that the limit g 
coincides with the limit g’..As the resistanees by which the limits 
are determined must be equal to each other, we shall have in this case 
VAE JE 
WER ee 
From this we obtain approximately 
_ wh? wk 
En 
to which value of H, belongs 
m w,* 
(a 
2 Woy tl] 
m 
or, when w,* may be neglected with respect to w'y41, M= 
From this point the magnetization will be given by the formula 
on p. 1306, until /7, reaches such a value that w, = w,. If H, in- 
creases still further, the magnetization will simply correspond to the 
field H, + H,. 
Practically this state will already be reached for a very small 
value of H,, a value much smaller than H,. We may therefore say 
that the magnetization is principally determined by M,, unless H, 
lies below a certain limit. In a recent paper STEINHAUS and GUMLICH *) 
describe interesting experiments in which iron and steel are magne- 
tized by a continuous current and an alternating current at the 
same time, in the way I have described above. Now they ascribe 
the thus obtained magnetization to the field H, exclusively, without 
mentioning the value of the field H,. From the preceding consider- 
ations it is evident, that this is not quite right. Nor do I think it 
true that by proceeding in the above described way we should 
obtain a so-called ‘ideal’ state, free from hysteresis. On the con- 
trary, just because of the hysteresis the final result will depend on 
1) W. SreinHaus und E. Gumuicu. Verh. d. D. Phys. Ges. 17 p. 369, 1915. 
