122 



REPORTS ON THE STATE OP SCIENCE. — 1916. 



Table IX. 



The following simultaneous equation occurs in practice (see Russell' 

 ' Alternating Currents,' 2nd ed., vol. i. p. 222) : — 



A ber x + B bei a; + C ker x + D kei cc = 1 

 A bei 03— B ber» + C kei x—D kera;=0 

 A ber'x +B bei'o; + C ker'x +D kei'a;=0 

 A bei'a; — B ber'ic + C kei'x— D ker'a;=0 



From the relations (§ 7) 



ber X ker'a; + bei'a; kei x—hev'x ker x- 

 ber X kei'a; +beia; ker'x — ber'x kei x- 



■we may write the solution of the equation by inspection : — 



A = — ccker'a; B = +a;kei'x C = +a;ber'a; D = — xbei'a;. 



-bei a; kei 'x= — 1/x 

 -bei'a; kera;=0 



