Alternate Current Transformer. 45 



L „^bB»J-{ I — 2a„ + -tA^ log ' "" + 10'' -'- — — - 



In a like manner we find that 



M",,=8B.;,;/,|l - (A,+ iv,)lool + ?^±^| 



and substituting in the equations for x\ and x.^ in § 43 



" SB/ 1 .^, ,,..,, 1 + 2A, , , l + 2Ai + 2vi , 



'■^"1=— -^-2Ai + 4A-ilog J +log- , ,'T + 



o- I JAi i + 2Ai 



(^i + Avi)log— j_j_2^;^ / 



on r > " 



^'''2= \ Interchange Aj and A.,, I'l and v., in above. - 



and finally for the leakage coefficients of the transformer 

 lA-i — oc 1 — r*^ 1 



46. From the expressions in §^ 44, 45, let us determine x-^ and 

 Xo, for transformers with square windows and iron tongue of 

 square cross section, and of which the secondary coil occupies 

 three-fourths as much space as is occupied by the primary. 



Then D=<5i+/;,, /^,=|d, ^.,=^D, 



y8=/3', v,='ili, v,=4/3, 

 Ai=^=l.ll, A.,= ^=1.48 



TT^l 77(72 



From § 44 we get 



^^=9.6^, a:',= 19.8^, 

 <T a- 



and from § 45 



,. _„B „_7 B 



<T Z cr 



Remembering that B=:2y8+^D, we find that 

 ^_,. , V^_ 13.6/3+3 .1D 



cr 

 As o-=47ru . ML_ , 



'^ 4(/?+D)' 



