Circuit with Dependent Current Source

AI Thread Summary
The discussion centers on a homework problem involving nodal analysis with a dependent current source. The user attempted to apply Kirchhoff's Current Law (KCL) at a node but arrived at an incorrect current value of 3*Va instead of the expected -6 A. Participants point out that the ammeter is incorrectly connected in parallel rather than in series, leading to confusion about the circuit setup. They emphasize that if the ammeter were correctly placed, it would directly read the current through the current source without needing calculations. The overall consensus is that the circuit diagram may be flawed, affecting the user's ability to solve the problem correctly.
wk1989
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Homework Statement


I'm not sure how to solve this question, the method you're supposed to use is nodal analysis.

Homework Equations





The Attempt at a Solution


I tried to use KCL at node A, so I have
Code: 
(12-Va)/8 - 3Va =0

Once I solved Va, the current is 3*Va. However, I'm not getting the right answer which is supposed to be -6 A.

Any help would be appreciated, thanks!
 

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The setup makes no sense. You don't connect ammeters in parallel with circuit elements, you connect them in series.

Are you sure this is how the diagram appears in your book?
 
This was on a list of exercise problems from a university website, but ignoring that, how would you find the current through the current source?
 
wk1989 said:
how would you find the current through the current source?

That is precicely why the setup makes no sense. If the ammeter truly is reading the current through the current source, then you don't need to calculate the current. You just read it! But that ammeter cannot possibly be reading the current through the current source, because it's connected wrong.
 

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