oe ka — L—2M cos (dep) 
L—2M cos 
n+l 
Therefore we obtain as the solution of an infinite number of 
coupled circuits, 
; 2 OREN i 
1, = — Fein? g eb -2Mcose dp 
7 
0 
EN rn. Ue, 
i, = — Fsinpsin2p,el—2Mcosp 
7 
0 
, 
| OY dal IN TEN 
ip — | singsinkp.eh—2Moosy dp 
nm 
0 
Il. Closed cycle of coupled circuits. 
Let us consider the same case, but now the x" circuit be coupled 
with the first. Then the currents in the various circuits will be 
determined by the following set of simultaneous linear differential 
equations : 
‘ Vi di, je u di, Bis Vv diy, Pie 
11 a 4 ar i dt d a => 
} di, 
tee oe M+ MS = 0 
dt 
rene eae MS 0 
di 1 Hee di I 
An a ise eo oe di il 
din di, dt, 1 ' 
sigh ge emer tis ==) 
Substituting in the same way 
p= Mie ee 
| ZT t 
ly == a, ep 
tig == Og lh 
and further 
