Rca1948FrequencyModu.. - The New Jersey Antique Radio Club

j/(«,)!=.TRANSMISSION THROUGH A NETWORK 441Therefore, if a steady-state driving voltage sin mt is applied to theinput terminals of the network, the output voltage can be determinedas follows:e /w£ — £ jutE in= sin o,t =•2j(36)By (34) and (35),.E oat= = R( a ) sin M + (*>)]. (37)2/R(oy) e^ (co) is now denned as the complex network characteristic,/(«). It can be seen from (36) and (37) thatwhereand where#out { = }#!»/(») (8)amplitude of E mt(9)amplitude of E iaimaginary [/(«>)]arc tan = angular phase [E ont ]real [/(«,)]— angular phase [Sjn] . (10)The notation { = } in (8) means "equals by convention," because theright- and left-hand members of the equation are not mathematicallyequivalent except when 8 () (39)where /* (