Till-: TRANSFORMER 187 



If the pormoanoo of tho leakage flux paths is the same for both 

 primary and secondary, the leakage reactances of the primary 

 and secondary are to each other as the square of the number of 

 turns. This follows from the fact that inductance varies as the. 



<ire of the number of turns, as was demonstrated in Vol. I, 

 Chap. VIII. In the actual transformer it is practically impos- 

 sible to separate Xi and X 2 , because the paths of the leakage 

 flux are complicated, some of tho ilux linking only a part of the 

 turns, etc. However, it is not necessary to know X\ and X% 



irately, but rather their combined effect. This effect may 

 b< found by multiplying X oi by the primary current I\ and adding 

 this voltage in its proper phase, or it may be found by using X 02 

 and the secondary current 7 2 and adding this voltage in its proper 

 phase. 

 The relations which follow from the preceding equations are: 



The equivalent impedance referred to the primary 



Tin equivalent impedance referred to the secondary 



Zn = V(flw) 2 + (X 02 ) 2 

 Mao 



Zoi _ /Aj\ 

 " \Nj 



Th:i' is, tho equivalent resistance, reactance, and impedance 

 reh-rreil to the primary are to the equivalent resistance, reactance, 

 and impedance referred to the secondary as the ratio of primary 

 to secondary turns squared. 



I.1W to -JL'0-volt transformer has a prim:: 

 sistancr and react:ui< n<i ". H) ohm-, i --pert ivHy. Tin- srcondary 



reeistanrr ;m,i reactance an 'i.iMisAohm Mini o.oi i ohm. respectively . Fiml 

 (a) the equivalent resist. to the primary: (5) the ri|uivalnit 



red t<> the secondary; (r) tin- (|uivalent motel 



to loth prirnarv ami x << uidary ; <</ t he e(|uivalent impedance referred to 

 hoth pnmarv and -.-condarv; ( > the total copper loss UHMH the individual 



resistances of tin tu<> wmdin^s and usin^ tl ut resistance n 



ule. 



