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

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SUMMARY

The discussion centers on the application of Kirchhoff's Current Law (KCL) in circuit analysis, specifically addressing the number of independent equations that can be derived from a circuit with four essential nodes. Participants conclude that three independent KCL equations can be formulated. The conversation also touches on the complexities introduced by nodes with multiple labels, such as nodes b and c, and the implications for achieving steady state conditions in circuit analysis.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Basic knowledge of circuit analysis and node voltage methods
  • Familiarity with steady state conditions in electrical circuits
  • Concept of independent equations in systems of equations
NEXT STEPS
  • Study advanced applications of Kirchhoff's Current Law in complex circuits
  • Explore node voltage analysis techniques in circuit theory
  • Learn about transient analysis and its impact on circuit behavior
  • Investigate the implications of multiple labels at nodes in circuit design
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in circuit analysis and KCL applications will benefit from this discussion.

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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