Homework Help? determining impedance parameters !

WBahn

Joined Mar 31, 2012
32,707
Thanks for presenting your work. How refreshing!

I can't quite read your work, particularly the upper right corner. Please try to get a clearer photo. You might be being too aggressive in reducing the file size -- feel free to go up to a couple hundred kilobytes.
 

MrAl

Joined Jun 17, 2014
13,667
Here are some image enhancements they help a little..
I would suggest to the OP that they upload clearer pics.

Side note:
Note the two 'dots' are drawn just over and just under the symbol "V2" and the plus and minus signs are drawn right under and over the dots. That's the way these diagrams are supposed to be made.
 

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WBahn

Joined Mar 31, 2012
32,707
Thanks MrAl. The main part is noticeably clearer, but the upper right is still to hard (for me) to make out. It's just not worth it to me to spend the time and eye strain trying to do so. The TS can post a better picture when they get around to it.
 

The Electrician

Joined Oct 9, 2007
2,986
The upper right corner is just a statement of the definitions of Z parameters:

Z11 = V1/I1 | I2=0
Z12 = V1/I2 | I1=0
Z21 = V2/I1 | I2=0
Z22 = V2/I2 | I1=0

yousifcyanide, this is so easy that you don't even need to write any equations. You will need to provide equations to hand in, but one can determine the Z parameters by inspection.

The important thing to recognize is that the condition I2=0 simply means that port 2 is open circuited; I1=0 means that port 1 is open circuited.

For example, to determine Z11, apply 1 amp to port 1 with port 2 open circuited. The 1 amp flows through the 10 ohm resistor and the 50 ohm resistor in series so the voltage at V1 is 60 volts--therefore Z11 is V1/I1 = 60 volts/1 amp = 60 ohms

To determine Z12, apply 1 amp to port 2 with port 1 open circuited. If port 1 is open circuited, the 1 amp only has 1 place to go--through the 50 ohm resistor. So what will be the voltage across the 50 ohm resistor and then what will be the voltage at V1? Remember--since port 1 is open circuited there will be no current through the 10 ohm resistor and no voltage across it either. Knowing V1 we have Z12 = V1/I2

Continue like this.
 
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