Understanding the Junction Rule for Circuit Analysis

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Homework Help Overview

The discussion revolves around applying the junction rule in circuit analysis, specifically for a circuit involving node a. The original poster seeks clarification on the correct formulation of the current equation at this junction.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the junction rule but questions their formulation of the current equation. Some participants provide a step-by-step approach to correctly apply the junction rule, while others confirm the revised equation.

Discussion Status

Contextual Notes

There is a reference to a specific circuit diagram that is essential for understanding the problem, but it is not included in the discussion. The original poster expresses uncertainty about their initial equation, indicating a need for clarification on the junction rule.

abcdmichelle
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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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