# Please derive the corresponding Z- and S-matrix for the two port networks. No simplification is allowed for the derivation.

Please derive the corresponding Z- and S-matrix for the two port networks. No simplification is allowed for the derivation.

Please derive the Z- and S-matrix of the following two-port networks: (note that the component in the matrix needs to be expressed using the given variables, such as Cgs, Cgd...). No simplification of the components is allowed. For instance, in the first question, Cgs and Cgd shall both have contribution on the Z11. 1. Ri Cgs Cgd gm Cds Rds RL vovi + - + - 2. Ri Cgs1 Cgd1 gm1 Cds1 Rds1 Cgs2 Cgd2 gm2 Cds2 Rds2 RL2 C1 vi + - vo + - 3. Ri Cgs1 Cgd1 gm1 Cds1 Rds1 Cgs2 Cgd2 gm2 Cds2 Rds2 C1 vi + - vo + - Cgs3 Cgd3 gm3 Cds3 Rds3 RL3 C2
Answered 2 days AfterApr 09, 2024

## Answer To: Please derive the corresponding Z- and S-matrix for the two port networks. No simplification is...

Vedant answered on Apr 12 2024
1 Part1
1.1 Z-Matrix Derivation:
The Z-matrix elements can be calculated as follows:
Z11 = Ri +
1
jωCgs + jωCgd
Z12 = −
1
jωCgd
Z21 = −
1
jωCgd
Z22 = Rds +
1
jωCds +
1
RL
Where:
• ω is the angular frequency
• j is the imaginary unit
1.2 S-Matrix Derivation:
To obtain the S-matrix, we need to use the following equations:
S11 =
Z11 − Z0
Z11 + Z0
S12 =
2

Z0
Z22
Z11 + Z0
S21 =
2

Z0
Z11
Z11 + Z0
S22 =
Z22 −...
SOLUTION.PDF