Solve Mesh Currents: Find i1, i2 & i3

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Discussion Overview

The discussion revolves around solving for mesh currents i1, i2, and i3 in a circuit using Kirchhoff's Voltage Law (KVL). Participants are examining the setup of equations derived from KVL and the implications of voltage source polarities.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents KVL equations for mesh currents i1, i2, and i3 but questions the inclusion of a -10 in the equation for i1.
  • Another participant suggests reviewing the polarity of voltage sources in the mesh for i1, emphasizing the importance of direction in the analysis.
  • A third participant highlights the necessity of knowing the polarity of voltage sources to accurately write the equations, implying that arbitrary assignments may lead to errors.
  • A different participant proposes a method of solving the first two equations before substituting values into the third equation, indicating a procedural approach that has worked for them previously.

Areas of Agreement / Disagreement

Participants express differing views on the correct setup of equations and the treatment of voltage source polarities, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are unresolved assumptions regarding the polarity of voltage sources and the correctness of the initial KVL equations presented by the participants.

engineer_dave
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Homework Statement



Find the mesh currents i1, i2 and i3

Homework Equations





The Attempt at a Solution



I did it this way

KVL at i1: 12 + 1i2 + 1i1 - 1I2 + 10 = 0

KVL at i2: 10 + 1i2 - 1i1 + 1i2 + 1i2 - 1i3 = 0

KVL at i3: 1i3 - 1i2 + 1i3 + 12 = 0

I was wondering though for KVL at i1, should i add a -10 to go with the 10?? Thanks.
 

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I would take a 2nd look at the polarity of your voltage sources on your mesh at i1. Remember you are looking clockwise.
 
What's the polarity on each of the voltage sources? You can't really write any equations without knowing them...or at least arbitrarily assigning them. The way you have your equations written, though, I would take Ouabache's advice...
 
THIS WILL BE DONE BY ,FIRST,SOLVING EQUATION 1 AND 2,THEN SUBSTITUTING THE VALUE IN THE 3RD EQUATION ...THIS PROCEDURE MAY HELP U,I HAVE DONE THIS TYPE OF QUESTION TODAY,,IT MIGHT WORK,,,DO REPLY ME IF WORKED...THNX

..ATHAR
engineer_dave said:

Homework Statement



Find the mesh currents i1, i2 and i3

Homework Equations





The Attempt at a Solution



I did it this way

KVL at i1: 12 + 1i2 + 1i1 - 1I2 + 10 = 0

KVL at i2: 10 + 1i2 - 1i1 + 1i2 + 1i2 - 1i3 = 0

KVL at i3: 1i3 - 1i2 + 1i3 + 12 = 0

I was wondering though for KVL at i1, should i add a -10 to go with the 10?? Thanks.
 

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