36 KANSAS UNIVERSITY QUARTERLY. 
(292 3—Z1Z4)Zq+]¥m (29232324 +2324 12424 )=0: 
The values of the various impedances in this case are: 
A Oh Z/.==0 5 
Zins Zg=! ,—IXq 
27", Ane 
i) 
which substituted in equation [17] reduce it to 
(fof g—(6y—J¥1 04) 0q tiXm (rergtryrytrsr, try, )=0- 
Equating the reals to zero and the imaginaries to zero gives 
(1) Pitot, 
(2) KT Wan pte aes ieee | Tele) 
or, combining (2) with the first condition, 
Sie es aS 
X,=—Xm (1-5 aa aL (5 
ry 
it 
where x7 IC) a andiacn, Mia. 
[17] 
[18] 
If the branch [7] 1s omitted, [18] reduces to the simpler form 
z ry 
x, =—Xm 1 -+-— 5 
Ts 
[19] 
Both [18] and [19] are given by Maxwell, the latter being the 
simpler case theoretically, the former the easier of practical appli- 
cation. 
The above are only a few of the problems that can profitably be 
attacked by this method; but they are sufficient to show its great 
generality and ease of application. 
