Engineering Nodal Circuit Analysis using KCL

AI Thread Summary
The discussion revolves around applying Kirchhoff's Current Law (KCL) at node X to determine the unknown current I(x) based on given currents I(a), I(b), and I(c). The initial calculation yields I(x) = 10.5A, but concerns arise regarding the validity of the provided current values in relation to the circuit components. Participants agree that if the current values are taken at face value, the calculation is correct; however, they express skepticism about the problem's formulation, suggesting potential errors in the provided data. One participant plans to contact the problem creators to clarify any possible typos or inconsistencies. The conversation highlights the importance of verifying circuit parameters in nodal 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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