Circuit Analysis -- How many independent equations can be written using KCL?

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Discussion Overview

The discussion revolves around the application of Kirchhoff's Current Law (KCL) in circuit analysis, specifically focusing on the number of independent equations that can be derived from a given circuit with multiple nodes. The scope includes theoretical considerations and practical implications in circuit analysis.

Discussion Character

  • Debate/contested, Conceptual clarification

Main Points Raised

  • One participant suggests that there are 4 essential nodes in the circuit, leading to the conclusion that 3 independent KCL equations can be written.
  • Another participant questions the presence of a node with two labels (b and c), prompting a discussion about the implications of this labeling on the analysis.
  • A participant argues that steady state cannot be achieved instantaneously, indicating that there will be a transient period during which the potentials at nodes b and c differ, resulting in current flow until equilibrium is reached.
  • Some participants express skepticism about whether the problem's intent aligns with the complexities being discussed, particularly in the context of beginner-level problems.
  • There is a recognition that beginners may sometimes raise advanced concerns, suggesting a potential disconnect between the problem's design and the participants' interpretations.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the number of independent KCL equations or the implications of node labeling. Multiple competing views remain regarding the interpretation of the circuit and the nature of the problem posed.

Contextual Notes

The discussion highlights uncertainties regarding the assumptions made about node labeling and the transient behavior of currents, which may affect the analysis of the circuit.

anonim
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Homework Statement
From this circuit diagram assume Vs and all resistors are known.
How many independent equations can be written using KCL?
Relevant Equations
KCL
1605700982782.png


I think there are 4 essential node. So we can write 3 KCL independent equations.
 

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why do you have one node with 2 labels (b and c) ?
 
Well, we can't achieve the steady state in zero time, theoretically there will be a small time during which the potentials at b and c are not the same, so there will be current through the branch bc till the potentials are the same.
 
Delta2 said:
Well, we can't achieve the steady state in zero time, theoretically there will be a small time during which the potentials at b and c are not the same, so there will be current through the branch bc till the potentials are the same.
And do you really think that was the intent of the problem? Is that the kind of thing you would put in a problem for beginners?
 
phinds said:
And do you really think that was the intent of the problem? Is that the kind of thing you would put in a problem for beginners?
Ehm, nope I certainly don't think that was the intent of the problem. However sometimes beginners can have advanced concerns, and maybe that's what happened here with our friend @anonim .
 

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