Understanding the Junction Rule for Circuit Analysis

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The discussion focuses on applying the junction rule in circuit analysis to determine the current equation at node a. The correct application of the rule states that the sum of currents flowing into the junction must equal the sum of currents flowing out. Initially, the incorrect equation I(3) = I(2) + I(1) was proposed, but it was clarified that the correct formulation is I(3) + I(2) = I(1). Participants confirmed the correct understanding of the junction rule, emphasizing the importance of accurately identifying current directions. The conversation concludes with a successful resolution of the problem.
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Homework Statement


I need to find the current equation for the junction in node a in the following circuit:
http://i749.photobucket.com/albums/xx137/abcdmichelle/gjgjhg.jpg


Homework Equations



Current in = Current out so I(in)=I(out)

The Attempt at a Solution


The arrows in the diagram represent the direction of the current.
At node a I thought the junction rule would be

I(3)=I(2)+I(1)

Is this wrong?
I think it is but I don't understand why!?
Please help!
 
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Yes, that is wrong... how did you come up with that?

Anyway, here's how you do the junction rule:
1. List all currents flowing in to the junction. This means, for each piece of wire connected to that junction for which the current arrow points into the junction, write down the associated current.
2. List all currents flowing out of the junction. This means, for each piece of wire connected to that junction for which the current arrow points away from junction, write down the associated current.
3. Write the junction equation, which is
(sum of list #1) = (sum of list #2)
 
Thank you so much!

oh ok, so it would just be
I(3)+I(2)=I(1)

right?
 
Yep, that's it.
 
Thanks again! :) :) :)
 

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