196 



THE ROYAL SOCIETY OF CANADA 

 Writinsi: in Harmonic form: — 



(18) 

 i2=M Ni A 



L^N^CX^ + y^^) 



-xt 



-2J (xX-y2) Sinyt 



^ 



r ~i - R,t 



2Jy(X + x) , ^_ 



+ 2 Jy (X + x) Cosy t 



Taking J outside as a coefficient to A and writing in full: — 



(19) 



_ M N, 2 JA 



'- ^ + y 



J 



^ 1 



L3 j 



— Rjt 



L — xt 



e -e 



R, 



x^ + y^-xj- 



^ 



Sinyt + 



R, 



Cos y t 



(20) 

 i2 = M N, 2JA 



L, N. 



R, 7 



R.t 



- R^t -.rt 



e l7 -e 



Sin(yt+j) 



Where 



-1 ,.1^2 

 j = Tan L2 



x^+y-- X R. 

 Tlio Primary Current is 



iy = A 



0""'- e-^0 



which is an inconvcuirnt form for calculation in the case of an oscil- 

 latory cui-i'cnt. 



