1307 
ho w,* 
M=m| 1 — - 1 + ——— 
4H, Hw, Wap 41 
If w,* may be neglected with respect to w*s,41, this becomes 
hw 
MS mj : 
4H, H, w, 
These expressions show that M/ increases with H,. If //, is so 
great that the mentioned boundary-condition is satisfied by the 
1 
the first formula for J/, while at the same time 2,41 becomes 
resistance w,, so that w,=w,, we may no longer neglect w,* in 
Va 
h?w,* 
. . aR 
equal to w,. Now the magnetization .becomes J/ = im () ep 
as might be expected. : 
The magnetic force H/,, however, does not occur in this formula, 
because in the calculation the term containing MH, has been neglected 
with respect to the other terms with /7, where @ oceurs in the 
denominator, while in our case these terms just neutralize each other. 
If now //, continually decreases, the resistances for which the 
limit where w= w, will be reached constantly, become greater, 
while .W continually diminishes. This however cannot go on unli- 
mitedly. A. second limit now is given by this, that at the end an 
intensity of the field < / is reached, for which therefore the ‘tipping 
over” becomes impossible. If this limit g’ is reached sooner than the 
other limit gy, the series must be broken off at the limit g’, for 
which therefore H, = h. Let us suppose |He,|— H, > H,; > 
Hap + H,, while the limit y is not yet reached. We then obtain 
M—M,—2M, 4 2M,....... 2M, 
ov making the same simplifications as above 
Vweps, MH, 
M= m 5 le FE air o PEs (wapp) | - 
8 med : 
If we put /1o,4, + H, =h, so that wa, a or approxima- 
0 
j.£ : 
tely, as H, must be small with respect to h, wo, Sn we find 
L 
wa ESE, ej ref, em) 
wh? wi, +4 a OTE wap hi 
If w,* may be neglected with respect to 2*s,4; this becomes 
paras, 
wh? 
Here must be remarked that these expressions only remain valid 
