TRANSIENT OSCILLATIONS IN ELECTRIC WAVE-FILTERS 13 

 The approximate formulas for y>n are 



'2.11' / o 



A„{t) = — L h„ x — [cos (q„y-Q n ) sin (x — rnr/2) 



+ q n sin (q n y-Q n ) cos (x — mr/2)] (6b) 



= J!L h /"2~F (l-ff«) sin (x-g„y+e„- W 7r/2)"] 



%^ \ ^|_ + U+3«) sin (x+q n y-e n -mr/2)j W 



and ultimately 



7. .Bawd Pa55 Wave-Filter, Type C\L<iC%, Fig. 7. 



+ —rVn(y) sin (*+»x/2)+j;(y) cos (x+«ir/2)], (7a) 



where x = w m t; y = wt/2, and 



C\ — , 9 ! -^2 = w£/2a>^, ; Ci = 2ui/wo)<ik. 

 Zkw m 



2d 



L 2 =r=C 2 



L 2 =hc 2 



Fig. 7 



The symbol P in the first term denotes a "pulse" at time / = 0; that is 



P= x at t = 0, 

 = for />0, 



and 



c/j ^ 



