PARALLEL-TUNED TRANSFORMER DESIGN lOS 



for a constant factor. F'or the matched case this ratio is, from equation 

 (9), 



,/ eI/4r, _ 1 1 /;;Tr _ M' i - k' /tt 

 y £i \ky c,R, \mJ k y c,R^ 



/a,\ (2 + k'WT^^' ./"cT 



•^ Vcoo/ 2;fe2 y Qi^^ 



For the mismatched transformer the corresponding ratio can be obtained 

 from equation (4) by letting Ri approach infinity, giving, 



+ J^l— + — ) TTT, -J 



\0i\ CO2/ ^K 



. oi[oi'i y/ RiC'M 



2k' ^''^ 



The two transformers are to have the same phase characteristics, and the 

 same band-pass characteristics except for a constant factor N where, 



N = 4/^' . \/^ (24) 



The term.s involving voltages in (22) and (23) can be eliminated by com- 

 bining with (24). Equating the coefficients of like powers of co gives (25), 

 below. 



k 

 2+k 



kV C,R, 2k' y RiCi o^i 



1^ /-cri_LzL^^/:cr/jL\ 

 yc;R,o^i'~ 2k' y c[R[VW2) 



VRiC,C2 • -2 = —rr- VRiCiCi ( -7-7 j 



k \(jO\ 032/ 



> (25) 



COo = T7 VWiW2iV; 



