180 PIERCE. 



Ri= Vj/^fih), (34) 



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



where 



h = r/I<o. (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. lilc<jy^>rg, 



a = Vlcc^^— rg g{h), /3 = V/cco- - rgfih), (37) 



rcco + gloi 

 where h = - — - — ' — • 



Icco-— rg 



II. Ulcc^'<rg, 



a = Vrg - lcoo^f{h), j3 = Vrg - Ico:^ g{h), (38) 



rcco + gico 



where * h = T^V- 



rg — lew 



III. If ^/> re, 



^.■=\'^^^l/W+i^(/OK (39) 



glw — row 



where h = ^^ , — - — ~. 



rg -\- lew 



IV. ligKrc 



^i = \' '•'^' o'T \m - j g{h) } , (40) 



rcco — gl(j} 



where h = — ; — -. 



rg + lew 



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. 



