KENNELLY. — EQUIVALENT CIRCUITS OF COMPOSITE LINES. 47 



The angle of the section AB, at its end B, is 8 B = 2 hyps. At the 

 junction BC, however, the line-angle changes abruptly, owing to the 

 change in surge-resistance, and at C, just across the junction it is 



8 C = tanh" 1 ( ^ tanh O = tanh" 1 ( ^A hyps. (46) 



e 1= 2 



■B 



9, = j-y 



0=2 



b:c_ 



,= }■? 



7^=2000" 



^ 



e l = z 



B 



C $i = 1-5 



*A 



Z i = Z0OO' 



D t 



A" T 



2 4553-55' 



O-4-07213xl0 _ * f 



tD" 



A * -4 ! ,.„■„ -? D 



G G G' 



Figure 7. Composition of two sections of different surge-resistances 

 and different attenuation-constants. 



That is, the hyp-tangent of the new angle is the ratio of the sending-end 

 resistance at B to the surge-resistance of the new section CD. In this 

 case 



8 C = tanh" 1 ( dumG > 5 \ _ tanh" 1 0.964,026,5 ; 

 \ 1000 J ' ' ' 



or, by tables of hyperbolic tangents, 8 C = 0.525,608 hyp. We mark 

 this angle opposite to C on the line A 2 D 2 (Figure 7). The angle sub- 

 tended at D 2 by the composite line is, therefore, 



