Understanding the Junction Rule for Circuit Analysis

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SUMMARY

The discussion centers on applying the Junction Rule in circuit analysis to determine the current at node a. The correct equation derived from the Junction Rule is I(3) + I(2) = I(1), where I(3) and I(2) are currents entering the junction and I(1) is the current leaving. The participants clarify the process of identifying currents flowing into and out of the junction, emphasizing the importance of accurately listing these currents to formulate the correct equation.

PREREQUISITES
  • Understanding of basic circuit theory
  • Familiarity with current flow and direction in electrical circuits
  • Knowledge of the Junction Rule in circuit analysis
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study Kirchhoff's Current Law (KCL) for further insights into circuit analysis
  • Practice solving circuit problems using the Junction Rule
  • Explore advanced circuit analysis techniques such as mesh and nodal analysis
  • Learn about simulation tools like LTspice for circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to deepen their understanding of circuit analysis and the application of the Junction Rule.

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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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