# Impedence transfer?

1. Jan 15, 2012

### sandy.bridge

1. The problem statement, all variables and given/known data
Hello,
I have encountered some sort of notation that I am not familiar with in regards to impedance. As an example, I have depicted a network here

The top loop is considered loop 1, the bottom-left loop is considered loop 2, while the bottom-right loop is loop 3.
$$R_2=5, R_3=10, R_1 2, C_1=C-2=-j4, L_1=j5, V=50e^{j0}$$
Using mesh currents $$I_1, I_2, I_3$$ in clock-wise direction, find $$Z_{input1}, Z_{transfer12}, Z_{transfer13}$$
I cannot seem to find anything in my notes regarding this... Any help is greatly appreciated. :)

Last edited: Jan 15, 2012
2. Jan 15, 2012

### sandy.bridge

I believe
$$Z_{input1}=\frac{50e^{j0}}{I_1}$$
However, the "transfer12" and "transfer13" impedances are not making any sense to me.

3. Jan 16, 2012

### The Electrician

They want you to set up the impedance matrix (Z matrix) for the circuit. Since there are 3 loops, the matrix will be a 3x3 matrix.

The elements on the main diagonal, the Z(n,n) with n = 1 to 3, are the driving point impedances. The off diagonal elements are the transfer impedances.

Zinput1 will be the 1,1 element of the Z matrix. Ztransfer12 will be the 1,2 element, etc.