326 BELL SYSTEM TECHNICAL JOURNAL 



the upper part of the desired range where the reactance components of 

 ivi are small. Substitution of these values in (41) gives two linear 

 equations in R~'^ and /o~- from which 



. = . :'-^:^ 



'fa 



and ^^' (42) 



(1 _ ('-^ 



/r I \ fh'a 



- Jl 



l-(^^ 



The actual impedance, Z,, of the network with these values may be 

 computed as for any finite network. 



4.3 Mid-Section Basic Nehvork 



This network in the lower part of Fig. 17 is the mid-shunt simulating 

 network corresponding to Fig. 15. 



Its impedance in the desired range is approximately given by the 

 formula 



To determine R and/o, assume two values of r to be equal to Va and /-(,, 

 the resistance components of Ko as computed from (39) at two fre- 

 quencies fa and fb, where the reactance components of K^ are small. 

 Then from (43) we obtain two linear equations in R- and /o^- from 

 which 



R 



ifJ 



<^-m 



and (^-i) 



The actual impedance of this network is Zo. The values of R and /o 

 from (44) will be practically the same as those from (42). 



