Understanding Polarity and Standard Labeling in KCL and KVL Exercises

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Discussion Overview

The discussion revolves around understanding the concepts of polarity and standard labeling in Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL) exercises. Participants explore how to define polarities for resistors, the application of standard labeling, and the interaction of multiple power sources in circuit analysis.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant asks whether it is necessary to define the polarities of resistors and how to do so.
  • Another participant explains that moving from negative to positive results in a positive term in loop equations, while moving from positive to negative results in a negative term, emphasizing the importance of consistency in current direction.
  • A participant inquires about which power source generates current when two are present, suggesting that both can contribute.
  • It is suggested that annotating the diagram with current labels and maintaining consistency is essential, and that polarity can be defined arbitrarily as the final answer will reflect the correct sign.
  • A comparison is drawn between circuit problems and motion problems, noting that the sign of the answer is meaningful only when aligned with initial definitions made by the participant.

Areas of Agreement / Disagreement

Participants express various viewpoints on the necessity of defining polarities and the implications of current direction, indicating that there is no consensus on these aspects. The discussion remains unresolved regarding the best practices for labeling and defining polarities in KCL and KVL exercises.

Contextual Notes

Participants mention the importance of initial definitions and consistency, but do not resolve how these definitions impact the analysis of circuits with multiple power sources or the specific methods for defining polarities.

thuc
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Hi guys,
I'm having some troubles while doing KCL and KVL exercies. I have two question:
1. Do I have to define the polarities of resistors and how to do that ?
2. When do i need to use the STANDARD LABELING ?
For example in this exercie
1.png
 
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The way I do it is, when writing, for instance, a loop equation, moving from - to + results in a positive term, and moving from + to - results in a negative term. Pick your currents at the beginning of the problem and stick with them. The voltage drop in a resistor due to a current always goes from + to -. It just takes some practice to get used to it.
 
oh thanks, but I have another question: when i have 2 power sources which power source will generate the current ?
for example in this exercie
3.png
 
thuc said:
oh thanks, but I have another question: when i have 2 power sources which power source will generate the current ?
for example in this exercie View attachment 96046
They both can contribute. Can you show us the KCL equation that you get by writing that the sum of all currents leaving the center node is equal to zero?
 
axmls said:
Pick your currents at the beginning of the problem and stick with them.
Yes. Annotate the diagram with I1, I2,I3 etc (with arrows) and give all the nodes numbers. It's essential to be totally consistent throughout. The 'polarity' can be any way you want because the answer will yield the correct sign, whichever.
 
There is a similarity with problems involving motion. The sign of the answer only makes sense when taken together with the definitions you make at the outset (eg "I define UP as positive"). If you don't make those definitions before writing KCL/KVL equations you will come unstuck.
 
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