Basic KCL Problem: Solve Node Equations

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Discussion Overview

The discussion revolves around a basic application of Kirchhoff's Current Law (KCL) in solving node equations related to a circuit problem. Participants are attempting to derive relationships between currents and voltages at specific nodes.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant states the equations for node a and node b based on KCL: 6 = io + Is and Is = io/4 + I8.
  • Another participant notes that nodes a and b can be considered the same due to their equal voltage.
  • A participant suggests using Ohm's Law (V = IR) to calculate values such as I8 and Io to further the solution.
  • One participant expresses a relationship derived from voltage equations: Vo = I8 * 8 and Vo = Io * 2, leading to the conclusion that I8 = Io / 4.
  • A later reply reiterates the derived relationship and suggests that it allows for solving Io and Vo.

Areas of Agreement / Disagreement

Participants appear to agree on the relationships derived from KCL and Ohm's Law, but the discussion does not reach a consensus on the final values or solutions for Io and Vo.

Contextual Notes

The discussion does not clarify certain assumptions, such as the specific values of currents or resistances involved, and the steps to fully solve for Io and Vo remain unresolved.

Who May Find This Useful

Students working on circuit analysis problems, particularly those involving KCL and Ohm's Law, may find this discussion relevant.

JasonHathaway
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Homework Statement



14tlfso.png


Homework Equations



KCL

The Attempt at a Solution



abl2z6.png


At node a: 6= io + Is
At node b: Is= io/4 + I8

Couldn't go much further.
 
Last edited:
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two things to note:

1.)a and b can be considered the same node as their voltage is the same.

2.)Also for calculating values such as I8 and Io, remember ohms law. V=IR
try to use that relationship to finish your equation.
 
Vo=I8*8, Vo=Io*2 --> Vo=Vo, I8*8=Io*2 --> I8=Io/4?
 
JasonHathaway said:
Vo=I8*8, Vo=Io*2 --> Vo=Vo, I8*8=Io*2 --> I8=Io/4?

So now you can solve for Io and Vo...
 
Thank you very much :)
 

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