SMOOTH LINES AND SIMULATING NETWORKS 



21 



C 4 = 



C B = 



2y/LC 



R b = D*2y\^. 



(35) 

 (36) 

 (37) 



When the excess-simulator is proportioned in accordance with these 

 design-formulas the corresponding complete network consisting of 

 such excess-simulator J in series with the basic resistance Ri = V L/C 

 will possess the simulative precision represented by the set of graphs 

 in Fig. 8, which shows the percentage impedance-departure 5 of the 



Simulative Precision (percentage) 

 .of the Networks in F1g.ii. when . 

 Proportioned in Accordance 

 with Formulas (32),... (3 7).- 



5=100 



l(J>Ri)-K| 



IKI 



2 4 6, 8 10 



F=ooL/R 



Fig. 8 



complete network Ri-\-J from the line-impedance K, as function of 

 F with D as parameter. In any specific case, where, of course, the 

 F-range would be known, inspection of these graphs (Fig. 8) enables 

 the best value of D to be readily determined, and the corresponding 

 resulting precision 5 to be seen as function of F. The curves show that 

 the best value of D is determined by the lowest value of F contem- 

 plated, since the departure 8 is largest at small values of F and rapidly 

 decreases toward the larger values of F. It will be noted that the 

 curves for the limiting values D=0 and D = l have been included 



