Nodal Circuit Analysis using KCL

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Discussion Overview

The discussion revolves around the application of Kirchhoff's Current Law (KCL) in a nodal circuit analysis problem, specifically focusing on the calculation of current at a node given certain input currents. Participants explore the validity of the provided current values and their implications for the solution.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant presents a KCL equation to find the current I(x) at node X, calculating it to be 10.5A based on the provided current values.
  • Another participant challenges the validity of the given current values, suggesting they are nonsensical in the context of the circuit's component values.
  • Some participants express uncertainty about the correctness of the problem statement, indicating a possibility of a typo or error in the provided values.
  • There is a mention of using KVL and other equations to verify the values, with a participant noting discrepancies in their calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the problem statement or the provided current values. Multiple competing views remain regarding the validity of the calculations and the potential for errors in the problem setup.

Contextual Notes

Participants highlight limitations in the problem's assumptions, particularly regarding the relationship between the given current values and the circuit components, which may affect the analysis.

Canaldigger
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Homework Statement




I(a)= 11A, I(b)= 2.5A, I(c)= 3A. Apply KCL at node X to find I(x).

This question seems really simple as it tells me what to do and where to do it, but am I missing something or not remembering to apply some concept?


The Attempt at a Solution


My attempt: I assigned current flowing towards node x as positive and away as negative.
Ʃi=0; I(a)+I(b)-I(c)-I(x) = 0
After plugging in, I(x) = 10.5A
Is that all there is to the question?
I don't think this answer is correct and rather I should redraw the circuit as a three loop one and use Current divider equations.
 
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For the given circuit component values the given current values are nonsense.

If you take the current values at face value and ignore the component values, then your answer (Ix = 10.5A) is fine. Otherwise, for the circuit as specified, the given current values are utter nonsense.

Shame on the one(s) who created the problem; they should not be teaching.
 
gneill said:
For the given circuit component values the given current values are nonsense.

If you take the current values at face value and ignore the component values, then your answer (Ix = 10.5A) is fine. Otherwise, for the circuit as specified, the given current values are utter nonsense.

Shame on the one(s) who created the problem; they should not be teaching.

I will email them and see if there was a typo or something. I was wondering why my values didn't match up when using KVL or any other equations that could apply to a circuit. I had an inkling that the figures might be wrong.

Thanks for help! This problem was driving me crazy.
 
Canaldigger said:
I will email them and see if there was a typo or something. I was wondering why my values didn't match up when using KVL or any other equations that could apply to a circuit. I had an inkling that the figures might be wrong.

Thanks for help! This problem was driving me crazy.

No problem. That's why we're here :smile:
 

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