208 BELL SYSTEM TECHNICAL JOURNAL 



and tlie variation of gap susceptance B with frequency is 



dB/dui = 2C 



(4.51) 



The arrows show directions of current flow when the currents in the gap 

 capacitances are all the same. 



1.0 



0.9 



0.8 



.-. 0.7 



!_, 0.6 



3, 



0.5 

 O 



U 



^ 

 (\j\ 



0.4 

 0.3 

 0.2 

 0.1 

 



U)j 



Fig. 4.20 — A quantity proportional to {E?/^P) vs w for the conditions of Figs. 4.16 

 and 4.17. 



TJW^pMF 



-W^f-^WT 



TW^pWT 



Y'lg. 4.21 — A representation of the resonators of Fig. 4.11. 



We can now represent the circuit of Fig. 4.11 by interconnecting the 

 circuits of Fig. 4.21 by means of inductances Lm of Fig. 4.22. This gives a 

 suitable representation, but one which is open to a minor objection: the 

 gap capacitance does not appear across either a shunt or a series arm. 



Tt is important to notice that there is another equall}^ good representa- 

 tion, and there are probably many more. Suppose we draw the resonators as 

 shown in Fig. 4.23 instead of as in Fig. 4.21. The inductance L and capaci- 

 tance C are still properly given by 4.50 and 4.51. We can now interconnect 

 the resonators inductively as shown in Fig. 4.24. 



We should note one thing. In Fig. 4.21, the currents which are to flow in 

 the common inductances of Fig. 4.22 flow in opposite directions when the 



