670 



HEI.l. SYSTEM TECIIKICAI. JOrRX.U. 



in nunH-rator and <ieni)minalni-. When hoili poles coincide witli root? 

 ihc rorrespondinn; impedance evpression can be obtained li\' mf'an> 

 of a (ine-mesh circuit. 



.'). T\\()-MkS11 ("iR( I IT> AM) AsS(H'IATKI) NkTWORKS 



The second olijcct of this pa[)ei" is the determination of the networks 

 realizing any speciiied dri\ing-poinl impedance which satishes the 

 conditions eslalilished in the first part of the paper. It is neces- 

 sary to find tin- mniibir. character, and arrangement of the elements 

 in these networks. ,i> wt'll as to find the walues of these elements. 



Thus the problem nut in this in\-estigation differs from the usual 

 network problem in that it calls for the determination of the elements 

 of a network which has a certain specified impedance, instead of 

 calling for the determination of the impedance of a network which 

 has certain specified elements. 



The most general two-mesh lirciiii h.is tiirce branciies connected 

 in parallel, each branch containing resistance, capacity, and sell- 



■AWV 



R2 



^-^W<^ WAr 



L3 R3 



Kin. '' -M"st geiR'ial lwii-nn>ili circuit coiisislinj; 

 iiKliiclanccs. 



ijiacil ics. .mil 



inductance, with inuni.i! iiidiictanci' between I'.ich p.iir nl l)r.mc'hes, 

 as shown by iii;. (i. 



The most general network under consideration is, therelori', the 

 network obtained by opening one branch of this two-mesh circiiii, 

 as shown by Fig. 7. All the networks considered are special cases 

 of this general network, obtained by making a sufficient number of 

 the elements either zero or infinite. If, in particular, all the elements 

 in one branch are replaced by a short circuit, the network splits up 

 into tw'o separate sections connected essentialK- onl\- b\ miiiual in- 

 ductance, as shown by Fig. 7a. 



