Network Analysis and Synthesis, 1st Edition by Pearson

462 Network Analysis and Synthesis

The individual Z-parameters can be found as indicated in the following. When the output

port is open-circuited, that is, when I

2

= 0, the equation (11.1) will be as follows:

VZ

IZ

V

I

1111 11

1

1

0=+ =that is

From equation (11.2), we will have the following form:

V

2211 21

2

1

0=+ =ZI Z

V

I

that is

When the input port is open-circuited, that is, when I

1

= 0, then equation (11.1) will be given

as follows:

V

1122 12

1

2

0=+ =ZI Z

V

I

that is

and from equation (11.2), we will have the following equation:

VZ

2222 22

2

2

0=+ =ZI

V

I

that is

Therefore, the Z-parameters of a two-port network are as follows:

Z

V

I

I

Z

V

I

I

Z

V

I

I

Z

V

I

I

11

1

1

2

21

2

1

2

12

1

2

1

22

2

2

1

00

00 ...