180 PIERCE. I 



Ri= ^Thm, (34) 



Xi= - VJ/^gih), (35) 



where 



h = r//co. (36) 



12. Constants of a Leaky Line. — If to the list of quantities 

 defined in Section 11, we add 



g = leakage conductance per loop unit of length of the line, 

 then^ 



I. If IcuP'yrg, 



where 



a = V/cco2- rg g{K), /3 = V/cco^ - rgf(h), (37) 



rcco + .<7^w 



Icor— rg 

 II. If lcor<rg, 



a=Vrg- lcco'f{h), = Vrg - Icc^^ g{h), (38) 



reco + glw 

 where h = — -. 



rg — (cw 



r 



III. If^/>rc, 



jrg + lew- 



1 o o 



gloi — rcw 



where h = ^ ^— — - 



rg -f- Icco^ 



IV. If ^/< re 



T{m+jg{h)], (39) 



Irgc — IcoP- 



Zi = \ \, , . \m-jgm, (40) 



rcco — glo) 



where h = ■ r~, — r- 



rg -f- Icw^ 



1 Obtained by introducing the /- and g- functions into familiar equations. 

 Compare Kennelly: Applications of Hyperbolic Functions, pp. 70 and 125. 

 University of London Press. 



