I CO TRANSMISSION LINE FORMULAS 



Now at the supply end, 



3*'-F, 



and zl = Z 



Therefore, E 8 = A l v + A* ~ ^ (6) 



At the receiver end, 



J = o 



and E = ^i+^l 2 (8) 



and /-y|Ui,-^). (9) 



From (6) 



(10) 



which, by the definition of cosh and sinh 0, is 



(4i + A 2 ) cosh VFZ + (A! - A 2 ) sinh 

 Therefore, from (8) and (9), 



E a = E cosh V7Z + = 7Z sinh VFZ. (i i) 

 Similarly, from (7), 



(12) 



= 7 cosh FZ + --= F sinh z. (13) 



Equations (n) and (13) are the fundamental formulas of 

 transmission lines, as generally written. 



