44 TRANSMISSION LINE FORMULAS 



each expressed as a complex number of a single real term 

 and a single j term. Multiplying the last two together 



Y^Z 2 F 2 Z 2 



gives -, from which may be written 



2-3 '4 2-3 .4-5 



down. In most cases no more terms need to be calcu- 

 lated, even for very accurate work, but this is to be de- 

 termined while doing the work, as one usually figures out 

 the terms of these series until they become too small to be 



YZ 



considered when added to --- 



2 



By addition of terms obtained above, the values of 



YZ F 2 Z 2 YZ F 2 Z 2 



-- 1 --- ^_ e t c> an d 



2 2-3-4 2-3 2-3.4.5 



are obtained, each as a complex number of two terms. 



/YZ \ 



Multiply E by the value found for ( - + etc. ) and add 



\ 2 / 



it to E. Multiply (P - jQ) by Z, or (r +jx) I, and by the 



value of ( + etc.) and add it to (P - jQ) Z. The 

 \2 -3 / 



above quantities are added together to give A -\-jB, the 

 sum of all the real parts being equal to A , and the sum of all 

 they terms being equal to B. 



Similarly, C +JD is found by adding 



(P ~JQ), (P -JQ) (^ + etc.), EF, and EY (^ + etc.). 



These values of A, B, etc., are inserted in equations i to 

 21 given with the K formulas, in exactly the same way 

 as the values of A, B, etc., found according to the second 

 page of Table III. .Each step of the above procedure is 

 shown in the examples in this chapter. 



The use of Table VI is the same as that of Table V de- 

 scribed above. 



