THEORY OF NEGATIVE IMPEDANCE CONVERTER 



103 



In order to establish the fact that Fig. 6(a) can be represented by the 

 equivalent circuit of Fig. 6(b) the basic mesh equations will be developed in 

 the following manner: 

 First — The impedance seen looking into the converter from terminals 1 



and 2, Z12, will be found. 

 Second — An equivalent circuit which will provide this impedance will be 



drawn. 

 Third — The impedance seen looking into the converter from terminals 3 



and 4, Z34, will be obtained. 

 Fourth — The equivalent circuit for Fig. 6(a) should be the logical result. 



Solving for I3 



^ E^jP - (2)[(P + Q){Z^ + 2S) - 2(1 ^ Mi)5'] 



{P - Q)[[Zl + i?6 + X,]l{P + Q){Z^ + 2S) Eq. (7) 



- 2S\l - Ml)] - 2^3^(1 + M2)(Z^ + 25)] 



-' = (Zx, + R, + X3) - 



i3 



/i: = /?6 + .Y 



2Ml{l +M2)(Z^.4-25) 

 {P + Q){Z,^ + 2S) - 2(1 - Mi)52 



2M^(1 + M2)(Z.v + 25) 

 {P + QKZn + 25) - 2(1 - Mi)52 



Eq. (8) 

 Eq. (9) 



