40 Proceedings of the Royal Society of Victoria. 



transformer is somewhat loaded, negligible in comparison with 

 either //iCj or ti.f^., (see §§ 9, 13, 25, 26), 



and hence e^ is the vector 



w I 





after it has been turned back through a right angle and 

 amp. e-i^ = 2v\ ~— — fi V«jCj 



Thus we see that the eifect of the leakage lines on the primary 

 circuit is the same, when the transformer carries a load, as would 

 be produced by a flux 



looped on it but not on the secondary ; but in § 2 this flux was 

 specified by XiO-n-^C-^^ 



where x^ is the primary leakage coefiicient, and o- is 47r times the 

 permeance of the magnetic circuit, hence 



Similarly if x^ be the secondary leakage coefficient 



44. Let us determine Lj, L2, M12, M21 and thence jv, and x^^ for 

 a shell transformer in which both primary and secondary coils 

 are single. 



This must be done in two parts. We must determine the 

 values of those portions of the above coefficients that are due to 

 the leakage lines that cross the windows, as well as the values of 

 their remaining portions that are due to the leakage lines that 

 cross those parts of the coils that are not embedded in the iron. 

 Let L'l, L'2, M'i2, M'21, x\, x\ be the former, and L"i, L"2, etc., 

 the latter portions of the above coefficients. 



Let 2/3 be the width of the iron tongue measured in the plane 

 of one of the laminae from window to window, and let 2/3' be 

 its height measured perpendicular to the laminae. Also (see 

 Fig. 5) let PP' the breadth of the windowz=D, PO the thickness 



