70 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



Plurality of Loads. 



When several casual loads exist simultaneously in a composite line, 

 each requires to be considered separately in the formulas for p" and g', 

 although no special treatment is involved thereby in computing g" or 

 p. A particular case of this kind is shown in Figure 14, where the 



7^= 1000' 



'■" d^Z Bjj>o;p 9 ' = ly DE f FG ;oo -. 



l^-Zooo" x^um 



L =2 Bto o- C <*,*<■? DErp^ M 



Ill III l ^^ MMM *^^^^— * J»HM ' 



2,= J000" A= 



e J = )s 



e, --i 



T^ A " 



Z,= I00O" 



^ A^—^ 





b,co-c 



L^E^Sal H 



,*? B loo-'C ft'"" D'E^FTt^- 



2, c 2000 ^» 



H 



978 78" O '73*47 



JCiliBxlO' 1 



o-snmiue; 



:n 



Figure 14. Composite line of three sections with two terminal and 

 one intermediate load. 



composite line of Figure 8 is loaded with an intermediate resistance of 

 100 ohms at the junction BC, a terminal resistance of 200 ohms at F 

 and also with a terminal leak of 5000 ohms at F. The presence of the 

 terminal resistance GH, however, converts the leak into an intermediate 

 leak so far as concerns the process of computation. 



Equivalent l~l. First Method. 



In order to compute the equivalent PI, ground the line at one end, 

 as at A 2 (Figure 14), and develop the line-angles towards H by preced- 

 ing formulas. Referring to the Table, we have (a) one intermediate 

 impedance at BC ; (b) one intermediate leak at FG, and (c) one termi- 

 nal impedance at the near end H, the distant end being grounded. 



