. The Bell System technical journal . ucture of Fig. 28A, the equiva-lent structure shown in Fig. 2SB. Likewise, from formulae (4.)) and(46) for the equivalence of the two structures of Fig. 17B, the mesh ofFig. 28C can be obtained from that of Fig. 28B. Furthermore, if thetwo inductances shown in series in Fig. 28C are merged, it is againpossible, by means of the conversion formulae for the two meshes of 88 SiSTEM lig. 17H, u> (letiTiniiR- ilif of ilic iiiish sliowii in Fig. 28Dfruiii the known \alufs of the constants of the structure of Fig. rel
. The Bell System technical journal . ucture of Fig. 28A, the equiva-lent structure shown in Fig. 2SB. Likewise, from formulae (4.)) and(46) for the equivalence of the two structures of Fig. 17B, the mesh ofFig. 28C can be obtained from that of Fig. 28B. Furthermore, if thetwo inductances shown in series in Fig. 28C are merged, it is againpossible, by means of the conversion formulae for the two meshes of 88 SiSTEM lig. 17H, u> (letiTiniiR- ilif of ilic iiiish sliowii in Fig. 28Dfruiii the known \alufs of the constants of the structure of Fig. relations which must exist if the structure of Fig. 28D is to beequivalent to the structure shown in Fig. 28A, or vice versa, are givenby the following relations LiiLiLi-M-) t\ = C,,Lt (L2±M)-U±M\- .= c-,=cv(^=;;^^) (75)(76) rile upper and lower of the altiTnati\e signs, in the preceding equa-tions, correspond respecti\ely to series aiding and opposing connec-tions. The e(|ui\ alence of these four-elenieni meshes makes it possible. L,L,-M (A) (B) (C) Fig. 29—E(|uivalfnt Networks L, L. C. LrrHH Kig. 30— Two-Terminal Reactance Networks(onlains Mutual Inductance Onh One of Which to derive at once, the relalion> which must exist between certain(f|uivalent three-element meshes involving mutual inductance. , if the capacity Cj of Fig. 28A is zero, tiu- nush reduces tothe three-element nush of Fig. liOA and the fornnilae given aboveare then ap|)lical)Ie for the e(|uivalence of the structures of and B. In the s;imc way that the me&hes illustrated in Fig. 28 were shownto Ik; iMJtentially e(\\ii i.\ / IKS y) tlu mishfs ol \-\^. A\ .in- ((iiiiv .ilciii. Tin- tMiuisalciict(if thi- nHsh slmwn in l-i^. MH in thai «>! lij; M\ is salistii-d l)y llierelations j;i\iMi in l-i^s. 21tA and B. Tlu u(|ui\ali-ncf i>f llie nicshof Fi^. Hie lo thai of
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
