\n K.ii. ixnrcT.is'cr. ix ii:irr. iii.iiks loo 



III V\K .Ml. K-t 



111(1 





(126) 



(127) 

 (128) 



X' 





21 2 



L, C, 



-^ ^^r ^^— L_^ 



Fig. 50 — Two Structures Having Equal Mid-Shunt ImaRc Impedances, One of 

 Which Contains a Negative Inductance in Its Scries Arm 



where Ka L- L:\ K b ^ C2' , C> i\nd Kc ^ L^ L\' 



From ( 12.")) 



in wiiirli 



'^^trr. 



(12<t) 



(130) 

 (131) 



From (I2()) aiul (I30i 



lr=G--+l ;4(r,.,+ r:8)- = l 4n., + (l+A: 2)G= + 1 4F^b (132) 

 where A' s IV, Fob 'G= = Li 'L2 = G C (133) 



Now from (12o) and (127) 



( Y,r- = r,' ¥,' + ^' = ( 4^ - f^-^^c) Vlx + 



Kb' I-., 



{'^-KBKc)K(?+^y], 



(134) 



Since, by postulation, in Fig. .iO, F/= F/'. we ma\- ecjiLite the roetfi- 

 rients of (132) and (134). This gives 



T- 4 -^'^^ 



1 + 



K /KaKb 



(-^"-A'bA-c) 



(135) 

 (136) 



