1305 
that Ho, — Han < 2H,. If this is no longer the case, then 
after change of sign of the current part of the cone remains 
“tipped over” in negative sense, which part will not be “tipped 
over” in positive sense with the rest, as the magnetic force is too small. 
Let us consider this more closely and suppose e.g. that the tension 
of the alternating current remains constant, but that the resistance 
7 
: fi 
gradually increases. We may then put /7—=*——, where the resist- 
w 
ance w (in which the inductive resistance is included) continually 
increases by the amount w. Then we have in general 
ol so; Hee 
Ho! = Ho = J —=- d : 
Wan W2n+1 Wan + W 
and therefore 
hie E.w 
A er ae 
. ‘ ss Wan (won +o) 
We see that these differences always become smaller. Now the 
above mentioned condition is 
7.E.@ 
Won (wan +w) 
Let now H, be so small, that this condition is not satisfied. This 
Tile 
will be the case when “> 27,, or approximately, if 
(w, + w)(w, + 2w) 
the steps @ are so small compared with the resistance w,, that 
aso : : : _ oO 2H 
—— > 2H,, for which we may also write — >—— 
so, there will in the beginning remain each time part of the cone 
“tipped over” in negative sense. From a certain limit however the 
If this is 
condition 
he 
ee 
W2n (wan +a) 
will be satisfied and from then the whole cone will remain positi- 
vely magnetized as we have seen above. Because of the smallness 
eee Be ae ee ee 
of w we may write for this limit-condition “__—-< 2H,. At the 
WM 
limit the resistance will have a value given by —— =H, 
. : ‘ft. H.ow 
which gives wy = TD Let Wap < Wy < Wap. 
a) 
Now the resulting magnetization becomes 
M=M, —2M, +2M,—... —2 Mop + 2 Mops. 
