Nodal Analysis/Superposition Problem

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In summary, the conversation is about the poster's attempt at solving a problem using superposition and nodal analysis. They have found that the values for V_{o} obtained in both attempts are not the same, which leads them to believe they may have made mistakes. They also mention a typo in their nodal analysis attempt and ask for any tips or suggestions to correct their work. The problem statement can be found in an attached figure.
  • #1
jegues
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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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  • #2
***This post contains the my work for the nodal analysis attempt (see figures)***
 

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  • #3
Problem Statement see figure attached.
 

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FAQ: Nodal Analysis/Superposition Problem

What is nodal analysis?

Nodal analysis is a method used to analyze electrical circuits by applying Kirchhoff's current law (KCL) at each node in the circuit. It is used to determine the voltage at each node and the current through each branch of the circuit.

How is nodal analysis different from other circuit analysis methods?

Nodal analysis is different from other circuit analysis methods, such as mesh analysis, because it directly solves for the voltages at each node, rather than using loop or branch currents. This makes it more efficient for analyzing complex circuits with multiple branches.

What is a superposition problem in nodal analysis?

A superposition problem in nodal analysis is when there are multiple independent sources in the circuit, and the goal is to find the voltage at a specific node. This requires solving the circuit for each source separately, then combining the results to find the final voltage at the node.

What are the steps for solving a nodal analysis/superposition problem?

The steps for solving a nodal analysis/superposition problem are as follows:

  1. Identify all nodes in the circuit.
  2. Assign a reference node and label the remaining nodes.
  3. Apply KCL at each node, creating equations for the currents at each node.
  4. Solve the resulting equations to find the voltage at each node.
  5. For superposition, repeat the process for each independent source in the circuit, then combine the results to find the final voltage at the desired node.

When is nodal analysis/superposition problem used?

Nodal analysis/superposition problem is commonly used in circuit analysis, particularly for circuits with multiple sources and complex topologies. It is also useful for analyzing circuits with both passive and active components, such as resistors and transistors.

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