I-LIA IKIC CIRCUIT IIIF.ORY 341 



analysis of transmission line propagation the iiidicial admittance ax 

 of the infinitely long line is given by 



a.v = 0, for /<.v/'t', 

 = I", ior t^x/v. 



The operational characteristic impedance is, of course, k = \/ L/C, and 

 the terminal impedances Zi and Z^ are given Ijy 



Zi=0, 



Zo = l/pCo. 



Referring now to equation (244) we have : — 



X = 1, Ml = 1, 



_ k-l/pCo ^ kCop-1 

 ^'~ k-\-l/pCo kCop+r 



Consequently, referring to equations (247), we have, operationally, 



Vo=l 



kCop-l 



l'l=J'2 = 



kCop-^1 



_fkCop-l\- 



_fkCop-iy 



In order to determine these functions we have therefore to solve the 

 general operational equation 



, _/kCop-l\" 



^ / kCop-l \ 



" \kCoP+lJ 



kCop+1. 



where T^, denotes either v-zn-i or V2n- 



In order to eliminate the coefficient kCo, we make use of theorem 

 VIII, and write 



'p-l\>' 



^p-\-lJ * 

 In accordance with that theorem 



V„{t)=<l>n{t/kCo). 



