NETWORKS FOR IMPEDANCE FUNCTIONS 



tho network of the fii'st kind: 



TT/l 



403 



2coo« L 2/(,5„ 2(6 — a)8n_ 



(3-17) 



ill nil of which wo« = Tnv/{b — a) and v = l/(Moeo)"" = 3(10'^) meters 

 per second. 



The results can be put in the same form as those obtained for the other 

 cavity mode, dealt with in example 2, by employing the "primaiy con- 

 stants" of the cylindrical transmission line, viz.: 



\\\ terms of these constants, the elements of the n*'' branch of the eriiiiva- 

 lent network of the first kind are 



^^ ^ (6 - a)L{a) (^^ _^ J_ _^ 



1 



Rn = ^^ - ;^^^"^ I 1 + 



Cn = 



2(6 - a)C(a) 



TT-n' 



(13-8) 



2h8n 2{h - a) 8n 



Sh 



2(6 - a) 



fl - ^ + ' 



\ 2/i5,. ^ 2(6 - a)8n 



„ ^ oionC(a) / _ J3_ 3 \ 



TT^n^Sn V 2/i5„ ^ 2(6 - a)8,J 



The network is shown in Fig. 12. 



As in the preceding example, a leakage element arises, in spite of the 

 fact that we assumed initiall}^ that go of the air in the cavity is zero. 

 This element accounts for the losses in the inner and outer cylindrical 

 walls. 



