Nodal Analysis/Superposition Problem

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SUMMARY

The discussion centers on a homework problem involving nodal analysis and superposition in circuit analysis. The user identifies discrepancies in the output voltage (V_{o}) calculated through both methods, suspecting errors in their calculations. A critical typo in the nodal analysis equation for current i_{4} is highlighted, where the correct formulation is i_{4} = (V_{3} - V_{B}) / 3R. The user seeks feedback on their calculations and any potential mistakes in their approaches.

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  • Understanding of circuit analysis techniques, specifically nodal analysis and superposition.
  • Familiarity with Ohm's Law and Kirchhoff's laws.
  • Ability to manipulate and solve algebraic equations involving circuit variables.
  • Experience with analyzing electrical circuits and interpreting circuit diagrams.
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  • Review the principles of nodal analysis in electrical circuits.
  • Study the superposition theorem and its application in circuit analysis.
  • Practice solving circuit problems with multiple methods to verify results.
  • Explore common mistakes in circuit analysis and how to avoid them.
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Students studying electrical engineering, circuit designers, and anyone seeking to improve their skills in circuit analysis techniques.

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Homework Statement



***NOTE: SEE 3RD POST FOR PROBLEM STATEMENT!***

Homework Equations



N/A.

The Attempt at a Solution



Okay, I have all my work for both my superposition attempt and my nodal analysis attempt and the [tex]V_{o}[/tex] I found are not the same.

This leads me to believe I've made a mistake(if not several) in either my superposition attempt, nodal analysis attempt or both.

There is a typo on the first page of my nodal analysis attempt for i4 it says,

[tex]i_{4} = \frac{V_{B} - V_{3}}{3R}[/tex]

when it should be,

[tex]i_{4} = \frac{V_{3} - V_{B}}{3R}[/tex]

I used the correct i4 throughout all my calculations.

Any mistakes you find, tips/suggestions/comments are greatly appreciated.

Thanks again!


***This post contains the my work for the superposition attempt (see figures)***
 

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***This post contains the my work for the nodal analysis attempt (see figures)***
 

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Problem Statement see figure attached.
 

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