Solving Complex Electrical Circuit: V1, V2, & V3

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SUMMARY

The discussion focuses on solving a complex electrical circuit involving three voltages: V1, V2, and V3. The correct voltage values are V1 = 7.608V, V2 = -17.39V, and V3 = 1.6305V. The key takeaway is the importance of correctly defining supernodes in circuit analysis; all nodes connected by voltage sources must be included in the same supernode to avoid errors in node equations. Ignoring currents that leave a supernode can lead to incorrect results.

PREREQUISITES
  • Understanding of supernodes in circuit analysis
  • Familiarity with voltage sources and their behavior
  • Knowledge of node voltage analysis techniques
  • Basic principles of electrical circuits
NEXT STEPS
  • Study the concept of supernodes in more depth
  • Learn about node voltage analysis in electrical circuits
  • Explore the impact of voltage sources on circuit behavior
  • Practice solving complex circuits with multiple supernodes
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing complex electrical circuits will benefit from this discussion.

Berserk
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Homework Statement


Screenshot_2015-02-01-18-18-54.png


Homework Equations

The Attempt at a Solution


I assumed there to be two supernodes. The first one was between V1 and V2. The second supernode was between V2 and V3.
IMG_20150201_184150[1].jpg

IMG_20150201_184221[1].jpg
IMG_20150201_185833[1].jpg
IMG_20150201_185857[1].jpg

This is what i tried and i am not getting the right answers. Please can someone help me out! Apologies for the turned pictures. The actual answers are V1 =7.608v , V2 =-17.39v , V3 = 1.6305v
 
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When you create a supernode you must consider all currents that enter and leave that supernode. In your first node equation you have ignored the current that must leave it via the 5i source branch. And there you have a problem because its a branch with a voltage source and no resistance.

Rather than defining two supernodes, which leads to the above issue, be sure to include in any supernode ALL of the nodes that are directly connected via voltage sources. If you can follow a path to a node that traverses only voltage sources, then it's part of the same supernode.

You will probably find the resulting node equation to be easier to solve :)
 
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I got the answer! I can't believe this... finally! :w Thanks a million! :D
 
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