694 



BELL SYSTEM TECHNICAL JOURNAL 



TABLE II 



No. 



Admittance Y{p) 

 Illustrative System 

 Cause and Effect 



Cause: Unit Impulse 

 Effect: dUYip) 



10 



(px X \ 

 Same as 3, except R/L = G/C. 



-(-f)*"0-O 



6or 



11 



yip + 2a 



■^p -\- ^p + la 



Semi-infinite smooth line (resistance R, 

 inductance L, and capacity C per unit 

 length) . Cause : Volta ge applied through 

 resistance i?o = '^LjC. Effect: Voltage 

 at end of line, a — RI(2L). 



\mo{t) + ~e-'I,{at), 



< / 



559=" 



12 



, exp(- y^p) 



Y{p) = 7=^ 



1 + V^/X 



Semi-infinite smooth line (resistance R 

 and capacity Cper unit length). Cause: 

 Voltage applied through resistance i?o- 

 Effect: Voltage at distance x from end. 



y = X ylRC, X = R/{CRo^). 



^ I -Xexp(3;Vx + X0 





< / 



809 



13 



Y{p) = 



',^p exp (—3' yp) 

 1 -f V^ 



i{y - 2/Vx) 



Same as 12, except Effect; 

 distance x from end. 



u = yl'cjR. 



Current at 



+ z^Vxexp (yVx + XO 



< t 



814 



14 



Y(p) = 



lylp 



1 + Vp/x 



Same as 13, except x = 0. 



u = VCAR. 



/Wxr^o(o 



-- + Xe^'erfc Vx/1 , 

 irt J 



< / 



550^ 



