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Impedance Parameters of an VCVS, CCCS... NEED HELP

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nzorndor

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Hello,
I am posting for the first time, and it is because I need some help with this homework assignment due this friday (March 4).
The assignment is to find the impedance paramter (Z parameters) of a VCVS (with gain Av), CCCS (gain of Ai), VCCS (gain of G[A/V], and CCVS (gain of R[V/A].
The assignment also asks for the admittance, and hybrid, inverse hybrid, transmission, and inverse transmission parameters BUT I can find the rest of the parameters once I know the impedance matrix [z].
the problem is I have no idea what to do. This assignment is just a curve ball and every class member feels the same way. I need some tips to start, or some major help, I am just LOST.
I wrote the entire problem (left nothing out) here, so you know everything I know. In the text book we have, finding the impedance matrix is as such:
Z11 = V1/I1 where I2 = 0.
Z12 = V1/I2 where I1=0
Z21 = V2/I1 where I2 = 0.
Z22 = V2/I2 where I1=0.
I also know that a gain of Av = V2/V1, and Ai = I2/I1 (not 100% of that current gain one), but I do NOT know what G[A/V] or R[V/A] gain is.
Any help is truly, utterly, and completely appreciated, Im lost :cry:

thanks in advance
 

The vcvs and cccs do not have z and y matrixes.but they do have a T matrix. Here I wanted to point out that you can always represent the two port networks with all types of parameter.

Also the ccvs has z parameter matrice but does not have y matrice and other way around for vccs.

I think that is enough for start up.

---------- Post added at 00:47 ---------- Previous post was at 00:41 ----------

BUT I can find the rest of the parameters once I know the impedance matrix [z].
Therefore this statement is not always correct.
 

Milad,

Thank you for the help.
The real issue I was having with is that I had no schematic to look at. No network to actually view makes it sort of hard to do anything :-D

so my teacher just emailed everyone a picture of what he wants us to work out the matrices for, and now it makes a heck of a lot more sense :smile:

Also, I would agree with everything you said EXCEPT VCVS does not have a Z matrix, but it HAS an admittance matrix.

the only thing Im confused on is what an ideal transformer generic 2 terminal network would look like (as once I find that, I can work on deriving the transmission matrix.

if you know what that looks like, that would help very much!
 

I did say vcvs has not nor z matrix and neither y matrix
For transformer: also it has not z matrix but you can find the T matrix. For incremental transformer with a ratio of n, the matrix will look like:

[1/n,0;0 n]
 

it seems to me that a VCVS does not have a [z] matrix, because z11 = V1/I1, and I1 = 0 because this is a VCVS, therefore z11 is undefined, and so the matrix does not exist. is this not correct?
 

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