﻿Oscillations in T 'hree- Coupled Electric Circuits. 375 



Now, making use of the abbreviations given below and in 

 the original paper, we get the following equation : 



-2(?+ ;• + .<)=>, 



- 2 {./(or./ + O + K» 3 2 + °>i 2 ) + «(»i a + » 2 2 ) ! ■ = | , 



2f V 9 , 9 9. 9 



&)o-.^ = 



c 



X 



where 



A = * 1 (l-/9»)+*,(l-7»)-f*,(l -a 8 }, 



C = k^irn' 2 -{- Ii\ 2 P)i 2 + kj 2 m 2 , 



X = -(l-a 2 -/S 2 - 7 2 -2a^ 7 j. 



Solving these simultaneous equations, we have 



Q 



R 



'' = Y' 



S 

 S =Y' 



in which 



A 

 X 



Q = 



— 2 



v- — 2(w 3 2 + w 1 2 ) — 2(oj 1 2 + &) 2 2 ) 



C 

 X 



!(&) 3 2 o) 1 2 ) — 2(o) 1 2 6) 2 2 ) 



A 1 1 



B (a)a 2 + ^ 2 ) K 2 + r, 2 2 ) 



/" ^ 9 9 2 9 



= |.(co 2 2 -a) 3 2 ) {A<-B Wl 2 + C}, 



similarly 



R = i (co 3 2 - Wl 2 ) {4« 2 4 -Bw 2 2 + C}, 



and 



Y - 8 (a>, 2 -G) 2 2 ) (of—uf) (a), 2 - *»/) 



