Magnetic .Hysteresis with Fr 



equency. 



119 



the probability that for any given frequency when the wave- 

 form of H is approximately sinusoidal the total iron loss per 

 cm. 3 per cycle is proportional to 



oai-67 



or to some power of 93 differing little from 1*57 independently 

 of the kind of iron or the thickness of the laminae. 



In order to show the degree of accuracy with which the 

 above formula? give the iron losses. Table VI T. has been 

 compiled. In it are given in parallel columns the values of 

 I obtained experimentally by means of the wave-tracer and 

 those determined from the above formula for Ring II. for 

 different values of n and Q3. 



Table VII. 



Comparing observed values of I for King II. with'those 

 given by formula 1= ('001684 + '0000271 7 u) S3 1 ' 57 . 



/'. 



8. 



1410 



I. 

 Obs. 



I. 



Calc. 



„ 



a 



I. 



Obs. 



I. 

 Calc. 



49-07 



260 



265 



27-77 



6770 



2513 



2517 



4871 



L>430 



621 



021 



27-90 



7500 



2948 



291)2 



4724 



3435 



1055 



1056 



27-86 



10740 



5247 



5200 



47-91 



4450 



1604 



1596 



3403 



3061 



793 



775 



49-02 



5351 » 



2110 



2153 



3422 



3780 



1080 



1083 



4902 



6356 



2824 



2819 



34-66 



4770 



1569 



1568 



4803 



7956 



3948 



3975 



34-91 



5818 



2139 



2145 



48-54 



10050 



5707 



5760 



33-49 



7536 



3165 



3170 



49-21 



12165 



7760 



7710 



17-62 



2795 



573 



557 



27-90 



28J -.4 



670 



649 



17 45 



5170 



1400 



1459 



27-76 



3990 



1120 



1098 



17-48 



7120 



2350 



240'.' 



2781 



4070 



1550 



1551 



1760 



10770 



4550 



462.") 



13. In the tables giving the analytical results of the 

 different experiments, it will be seen that as Hj gets large 

 the wave-form of H differs more and more from the sine 

 form, and that in the slower speeds the range over which it 

 was possible to obtain magnetizing currents of approximately 

 sine wave-form was less. This was due to the reaction of 

 the iron in the ring and may be explained as follows: — 



If we assume that the applied E.M.F. was sinusoidal [it 

 was nearly so], a current would flow which would produce a 

 flux wave that contained 1st, 3rd, 5th, &c. harmonics. The 

 3rd, 5th, Sic. harmonics produced would induce in fche mag- 

 netizing circuit currents of periods Sn, ')/>. &c., which would 



