Source transformation, find the error

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SUMMARY

The discussion centers on the concept of source transformation in electrical circuits, specifically converting a current source in parallel with a resistor into a voltage source in series with a resistor. The user attempted two methods for this transformation, yielding different results: 22.85 volts with 5.714 ohms in the first method and an incorrect result in the second method. The discrepancy arises from a misunderstanding of node tracking during the transformation process, which is crucial for maintaining equivalent circuit conditions.

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  • Knowledge of equivalent resistance calculations
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Electrical engineering students, circuit designers, and anyone involved in circuit analysis and design who seeks to deepen their understanding of source transformations and their applications.

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Homework Statement


[PLAIN]http://img5.imageshack.us/img5/2959/question2e.jpg

Homework Equations


- A current source in parallel with a resistor can be transformed into a voltage source in series with a resistor. R stays the same and Vs = R*Is

The Attempt at a Solution


I have tried it in two ways. Both ways give me different results.

The first way is to transform the two voltage sources into current sources, and do the obvious simplifications to obtain a current source in parallel with a resistor. Then transform that into voltage source with resistor in series: 22.85 volts voltage source with 5.714 ohm resistance in series.

The second way, which is the one I think is wrong, starts like this. Transform the current source in parallel with 10 ohms resistor into a voltage source with 10 ohms resistor. Transform the initial voltage sources into current sources:
[PLAIN]http://img822.imageshack.us/img822/3395/sourcetransfomration2.jpg

Why isn't it giving the same result?? To me, every step look perfectly valid.. Surely there is something I don't understand about source transformation.
Thank you
 
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In your second method you've "lost track" of the nodes where output voltage and equivalent resistance are to appear.

attachment.php?attachmentid=40059&stc=1&d=1318767025.gif
 

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