704 Dr. B. van der Pol on Oscillation Hysteresis in a 



In order to simplify the analysis we shall not treat the 

 actual circuit shown in fig. 1, which, from an experimental 

 point of view, is the simpler, but will replace the magnetic 

 coupling by an equivalent capacity coupling. We shall also 

 replace the series resistance of the oscillatory circuits by 

 equivalent shunt resistances, and therefore deal with the 

 circuit of fig. 4. In this way we retain all the essentials of 

 the problem while, through simple phase relations, a con- 

 siderable simplification of the analysis is obtained. 



Fig. 4. 



|.|i|.|i»»M 



n fig. 4 the total equivalent capacity \ A of the 



f primary circuit ig • ] . 



( secondary ° J 



Ci C a \jb 



1 



C 3 0« C 6 . 

 and the square of the coupling coefficient, P, becomes 



CiC 2 



k 2 = 



a 



The free angular frequency j ^ of the j ^^y circuit 



is further 



1 



CO 



1 "W 



1 



co 2 



UL 



2-^2 



