TRANSIENT OSCILLATIONS IN ELECTRIC WAVE-FILTERS 11 

 and ultimately, 



^2*. 32«. ©2» are determined by the formulas given in Appendix II, — 

 hn= \\-n 2 /yV' 



and 



q„ = y/l-n 2 /y 2 , 

 2« + l 



e„ 



7T — n sin ' («/)')• 



4. .Bawd Pass Wave-Filter, Type L1C1C2, Fig. 4. 



w 

 A n (t)= — rJn(y) sin(>-tt7r/2) 



Umk 



(4a) 



where, as above, x = io m t; y = wt/2, and the filter elements are given by 



2 



Li = 2k/w; Ci = w/2kui 2 ; Ci = 

 T57TCM 1 'TJW^ 



c, 



Fig. 4 



The approximate formulas for y>n, are, 



w I 9 



^»(0- — r &« a. — c° s (?ny-e„) sin (x-mr/2) (4b) 



<*> m « \ 7ry 



^„. _[sin(.ic-g n y + e„-«7r/2)+sin(^+g n y-e„-W7r/2)] (4c) 



\ 7TV 



2o) m « ^ x j 

 and ultimately 



A n (t)c^-ll [sin^-y + Tr^+sin^+y-^tl^J. (4d) 



