10 Proceedings of the Royal Society of Victoria. 

 where. A*= ^'Cos-0 ( 1 + 2a:,CosS + 2 -^ ) + 



ill which, for all practical purposes, I\P may be taken =1. 



jy'2 J)2 



Similarly ^.q— y =^2^^ 

 where, after dropping insignificant terms, 



D-^=l + 2:ViCos8 + 2-^ + 2^Cos(/)(XSin.^+TCos0) 



+ 6^CosV(X^ + P) 

 in which X = Xi + ^o 



We also find 



_ Cos8 + ^Cos0Sin(^ + XO^Cos-f 

 *"" Sin8 + ^Cos-^./. + T^-Cos^.^ 



^ , tan (h-\-OX 



tanA= -—. — . 



1+^T 



13. Transforming the equations in § 9 by means of the relations 

 in § 12, we get 

 P _ El A 



J_ F_«iCi_ «.A__Ej_ «i 

 M o-""^ ~^Cos^~;7^ D 



E.,=:^ -' (see § 10). 

 ;/i D 



and if P.^ be the output of the ti'ansformer 



P,=iEACos0 = l^^-^ 



also if Hj and H.^ be the copper loss in the primai-y and secondary 



respectively, 



i^l — ^^V^l — * „^2 T\2 



