Super Node Analysis: Find V1,V2,V3,I1,I2,I3

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Discussion Overview

The discussion revolves around solving for the voltages V1, V2, V3 and currents I1, I2, I3 in a circuit using super node analysis. Participants are working through equations derived from circuit analysis, exploring the implications of their results.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents initial equations based on super node analysis, expressing uncertainty about the results suggesting zero voltages.
  • Another participant points out a missing term in the supernode equation related to a resistor, indicating a potential error in the initial analysis.
  • After corrections, the participant shares updated equations and calculates V2 as zero and V1 as -26.7, questioning the validity of a zero voltage.
  • Another participant challenges the sign of V1, suggesting it should be positive due to its connection to a voltage source, while also affirming that zero is an acceptable value for V2.

Areas of Agreement / Disagreement

There is no consensus on the correctness of the calculated values for V1 and V2, as participants express differing views on the implications of V1 being negative and V2 being zero.

Contextual Notes

Participants have not fully resolved the implications of their calculations, and there are uncertainties regarding the assumptions made in the analysis, particularly concerning the sign of V1 and the interpretation of zero voltage for V2.

jdawg
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Homework Statement


Find V1,V2,V3,I1,I2,I3

Homework Equations

The Attempt at a Solution


Analysis at super node:
V3-V1=40 (equation 1)

(V1/40)+(V1-V2/40)+(V3-V2/20)=0
2V1 - 3V2 +2V3 = 0
After substituting in equation 1:
4V1-3V2 = -80

Analysis at V2

(V1-V1/40)+(V2/20)+(V2-V3/20)=0
After substituting in equation 1:
-3V1+5V2 = 80

But I think I'm doing something wrong, I don't feel like the voltages should be zero...
 

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For your supernode equation, you left out the term for the 20 Ω resistor between V3 and the reference node.

Fig1.png
 
Oh ok, I fixed that part and now I have these equations:

6V1-3V2=-160 and -3V1+5V2=80

When I solve for V2, I get zero. And for V1 I get -26.7. Is it ok for one of the voltages to be zero?
 
jdawg said:
Oh ok, I fixed that part and now I have these equations:

6V1-3V2=-160 and -3V1+5V2=80

When I solve for V2, I get zero. And for V1 I get -26.7. Is it ok for one of the voltages to be zero?
I question the sign of your V1. Since it's directly connected to the + terminal of the only voltage source I would expect it to have a positive potential. Check your math.

Zero is a perfectly good value for a potential for V2. In fact, it looks correct to me :smile:
 
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Thanks so much! :)
 

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