118 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



Thus, considering the actual smooth line of 500 km. length of which 

 the artificial line represented in Figures 5, 6, and 7 is the external 

 equivalent, we have r = 5.051 ohms per km., g = 2.4499 micromhos 

 per km., a= 0.0035172 hyps, per km., r = 1436.13 ohms, La = 

 1.7586 hyps., \a = 0.8793 hyp. From (79) we obtain : 



n f is 



• 



3 



74.927 V- 



yO=fO/4-- 00 



*3* 



■-■0 = 0-8J93 





2S*0J3v 

 /Os-IOI^Ot 1 ' 





Fif th- 





,0*. 1014-00 



vwwvwwv — «B 

 * 0^ a 



ft]. iS 



£ 3 



O o 



/3 = /Of A- HO 



J^ • VWWWA/WVW 



0- 07094 a 



t*tr, 



yos.l0lii--00 u 



ii 



■J SO- 03 

 — • — vwwww — I 



T3 0-Oli'QI d o 



15 



9 



Figures 13, 14, 15. — Equivalent T of line imitated in Figures 5, 6, and 7. 

 Grounded, freed, and grounded imperfectly. 



and by (81) 



p' = 1436.1 X 0.70007 - 1014.0 ohms, 

 R' = 1436.1/2.81602 = 509.987 ohms. 



The above values of p f and R' have been employed in Figures 13, 

 14, and 15 to produce a single-section artificial line. It will be seen by 

 comparing these Figures respectively with Figures 5, 6, and 7, that 



