690 



BELL SYSTEM TECHNICAL JOURNAL 



TABLE II — Admittancks of 



No. 



Admittance Y{p) 

 Illustrative System 

 Cause and Effect 



403^ 



Cause: Unit Impulse = ^o(0 

 Effect: MY{p) 



Cp-\-G 



^^^^ LCip - Pi)(p - P2) 



Inductance L and resistance R in series 

 with parallel combination of capacity C 

 and conductance G. Cause: Voltage 

 across terminals. Effect: Current 

 through network. 



Pi\ ^ - (RC + LG) ± A 

 P2\ " 2LC 



A = yliRC - LOy - 4LC. 



[(Qi + G)e^^' - (Cp2 + G)e''='], 



< / 



448, 449 



Y{p) = Cp^G 



Same as 1, except i? = 0, L = 0. 



403*, 404* 



F(/>)=expr-^V(p+ p)2-a2 I 



Semi-infinite smooth line (resistance R, 

 inductance L, conductance G, and capac 

 ity C per unit length). Cause: Initial 

 voltage. Effect: Voltage at distance x 

 from end. 



V = {LC)-\ k = (L/C)i, oc = R/{2L), 

 /3 = G /{2C), p = a + /3, a = a - ^, 



-p(-t)*»0-0 



, ax 

 -\ e 



vz 



863* 



V 



¥iP) = I ^i 



p -\- p — a 



k >'p + p + <r 

 X exp 



[-^V(p + p)2-c.==J 





Same as 3, except Effect: Current at dis- 

 tance X from end. 



< / 



864" 



