Analyzing Circuit Nodes & Meshes: Find I'”

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Discussion Overview

The discussion revolves around analyzing a circuit to determine the number of extraordinary nodes and independent meshes, as well as applying mesh analysis to find a specific current (I'). Participants explore definitions and interpretations of extraordinary nodes and the implications for mesh analysis.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant claims there are 5 extraordinary nodes, while another believes there are 10, leading to a disagreement on the count.
  • Definitions of extraordinary nodes are discussed, with some participants suggesting it is synonymous with essential nodes, while others seek a formal definition from course materials.
  • A participant explains that the right-most mesh in the circuit cannot have its mesh current determined by inspection due to the presence of a current source in a shared branch, which complicates the analysis.
  • Another participant counts 8 extraordinary nodes after reviewing lecture materials and a video, suggesting a potential consensus on this number among some participants.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the number of extraordinary nodes, with counts varying between 5, 8, and 10. The discussion on the definition of extraordinary nodes remains unresolved, as participants express differing interpretations. The analysis of mesh currents also contains varying viewpoints on the ability to determine certain mesh currents by inspection.

Contextual Notes

There is ambiguity in the definitions of extraordinary nodes, and participants reference different sources for clarification. The discussion reflects uncertainty regarding the implications of current sources on mesh analysis.

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Homework Statement


Consider the circuit shown below.
(a) How many extraordinary nodes does it have?
(b) How many independent meshes does it have?
(c) The values of how many of those mesh currents can be determined immediately from the circuit?
(d) Apply mesh analysis to find I’.


Homework Equations





The Attempt at a Solution


I am having a hard time for parts (a) and (b). I put a dot on everything I called an extraordinary node, and got 5. My friend got 10 and I don't see it.

Also, the the independent meshes, apparently where the 7 Amp current source is, you can't say the furthest right branches mesh current by inspection. How is this?
 

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What is the definition of an extraordiary node?
 
Where 3 or more junctions meet
 
Maylis said:
Where 3 or more junctions meet
That is too ambiguous, too imprecise. What is the formal definition from your course notes?
 
Maylis said:
Also, the the independent meshes, apparently where the 7 Amp current source is, you can't say the furthest right branches mesh current by inspection. How is this?
You were probably told that so as to contrast it with most of the other meshes in this figure. Most meshes here show a current source in one of their unshared branches, and this current sets that mesh's mesh current. The right-most mesh has a current source but located in a shared branch, so that source represents the nett result of two mesh currents, not one current alone.

To say that the mesh current there can't be determined by inpection is arguable, though.
 
Last edited:
Given in lecture slide:

Extraordinary
Node:
connection point between at least 3 branches

I watched a youtube video, and now after watching it


I count 8 extraordinary nodes. Anyone else get the same?
 
Last edited by a moderator:
Maylis said:
I count 8 extraordinary nodes. Anyone else get the same?
8 is the number I count.
 
  • #10
Okay great, I feel more comfortable with it now. Thanks
 

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