2 Port Networks - Impedance Parameters

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Discussion Overview

The discussion centers around the analysis of a 2 port network using impedance parameters, specifically focusing on the calculations involving currents and voltages based on given equations. The context appears to be homework-related, with participants attempting to identify and correct errors in the provided solution.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • The initial equations provided by the poster include relationships between voltages and currents, but the poster indicates that the calculated value for I2 is incorrect and seeks assistance in identifying the error.
  • One participant points out that Z11 is 6 ohms and suggests a correction to the voltage value from 2∠30° to 20∠30°.
  • Another participant highlights a sign error in the relation between I1 and I2 and notes that the magnitudes are incorrect unless the input voltage is adjusted or the answers are scaled down by a factor of 10. They also mention an angular discrepancy in I1.
  • The original poster acknowledges the feedback and expresses appreciation for the learning experience despite the errors encountered.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the calculations, with multiple errors identified but no consensus on the resolution of the problem. The discussion remains unresolved regarding the exact nature of the errors and their implications for the solution.

Contextual Notes

There are indications of missing assumptions regarding the input voltage and potential scaling factors that could affect the calculations. The discussion also reflects uncertainty in the relationships between the currents and their respective angles.

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Homework Statement


see attached


Homework Equations





The Attempt at a Solution


$$\eqalign{
& {V_1} = {Z_{11}}{I_1} + {Z_{12}}{I_2} \cr
& {V_2} = {Z_{22}}{I_2} + {Z_{21}}{I_1} \cr
& {\rm{ - - - - - - - - - - - - - - - - - - - - - - - - - - - }} \cr
& 2\angle 30 = 8{I_1} - j4{I_2} \cr
& 0 = - j4{I_1} + 8{I_2} & \to {I_1} = {{8{I_2}} \over {j4}} = - j2{I_2} \cr
& 2\angle 30 = - j16{I_2} - j4{I_2} \cr
& {{2\angle 30} \over {20\angle - 90}} = {I_2} \cr
& {I_2} = 0.1\angle 120{\rm{ A}} \cr} $$

As I2 is incorrect I haven't bothered with I1. Can somebody point out where the error is?
 

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[strike]Z11 is 6 ohms. EDIT: Oops, I failed to notice you'd included the 2 ohms there.[/strike]

Where it says 2∠30°, change it to 20∠30°. :wink:
 
Last edited:
Check the relation between I1 and I2. There's a sign error there!

Plus the magnitudes are wrong anyway unless you change the input to 20V or reduce the answers by a factor of 10 ...

Plus, the angle of I1 is off by 10 deg.

Not a good day for the quizmaster.
 
Last edited:
Thanks guys.

I have learned a lot from this book in spite of the many errors.
 

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