THEORY OF CONVERGENT SERIES 



IO1 



Now 



i + VYZ + 



+ i - VFZ + 



2 



CYZ F 2 Z 2 \ 



i H 1 + etc. ). 

 2 2-3-4 / 



Similarly 



etc. 



VFZ) 3 (VFZ) 4 

 2-3 2-3-4 



2-3-4.5 



Substituting these results in (10) and (12), we can ex- 

 press the fundamental equations as follows: 



, 



+ 



2 -3 .4 



F 2 Z 2 



="+ 



3 2.3-4.5 



2-3-4.5.6 



F 3 Z 3 



' + 



and 



,..,(, + s 



FZ 



FZ , F 2 Z 2 . . 

 H r 



2.3.4-5-6-7 



F 3 Z 3 



2-3-4 

 F 2 Z 2 



2.3-4.5.6 

 F 3 Z 3 



+ etc.) 



+ etc.) (14) 



+ etc.) 



+EF(I+^+ 



\ 2-3 2.3-4-5 2.3.4.5-6.7 



+ 



-fete 



-)*(i5) 



Equations (14) and (15) are the same as those tabulated 

 in Chapter VI for obtaining E 8 or A + jB, and I a or C +JD. 

 For no-load values, all that is necessary is to put the load 

 current, /, equal to zero. 



When conditions are given at the supply end, the same 

 equations for full-load conditions are obtained, except that 



* See references to T. R. Rosebrugh, J. F. H. Douglas, and C. P. Stein- 

 metz, page 41. 



