I K.IXSMISSIDX CII.IR.n ll-NISIICS (U- nAl'F.VII.T[.liS 617 



ll.n.r, 



£. (l+p^e-'^^^'+'^^>) 



* /Ca + zJa (l-paP^«- "■-'+'■"')' 



.iml (74) 



^*~A:«+Z„ (l-paP»e-('--'+'-'-))' 

 \\ hrrc till' I'urniii ri'llrction cui't'ticiiMits ,it ti-rmiii.ils a and /) arc 

 _ A't-Z« 



/Co + Za 



and 



/Ca — Zfc 



Kb-\-Zt, 



Introducing the open-circuit and short-circuit dri\ing-|K)int im- 

 (H'dances A',,, A'^ and W, Yb of the transducer it follows that 



Iufr+lft.i=- tanh :^ — —^ > (7o) 



^.'^ I = y [ V ( A'. - X6)= + 2{Xa Yb + Xb r„) ± (A-„ - A-^j J , (76) 



Ka-Kb = Xa-Xb. (77) 



and 



A:„A.^ = A'.r6 = A-6r„. (78) 



Any three of these measured impedances are sutticient, because 

 of relation (56), to obtain the sum (Fot-f Fta), Ka, and A';,. 



A directional propagation constant may be obtained separately 

 from one two-point measurement; thus 



Tab = log, Ua/h), where Zb = K,. (79) 



The current and potential difference at one pair of terminals in 

 terms of those at the other are given by the following. 

 For current transmission from terminals a to terminals b 



, , /AV''^-j-A'ae-''»-\ . Vb , ,. _,., 

 ^- = ^-( A. + A. )+K;+Kb^"^-' ^• 

 and (80) 



/AV'"-f AV-''*-\ KaKb , ,. _,. , 



