Find each current with using Mesh Current Method

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SUMMARY

The discussion focuses on using the Mesh Current Method to determine the currents (I1, I2, I3, I4) in an electric circuit. A critical point raised is the incorrect treatment of a constant current supply in the branch shared by meshes 3 and 4, which should not be modeled as a zero Ohm resistor. Instead, it is recommended to assign an unknown potential drop (Vx) to establish the relationship between I3 and I4, specifically that I4 - I3 = 2A.

PREREQUISITES
  • Understanding of Mesh Current Method in circuit analysis
  • Familiarity with Ohm's Law and circuit components
  • Knowledge of current sources and their impact on circuit behavior
  • Ability to formulate and solve linear equations
NEXT STEPS
  • Study the application of Mesh Current Method in complex circuits
  • Learn how to handle dependent and independent current sources in circuit analysis
  • Explore techniques for solving systems of linear equations
  • Investigate potential drop concepts in electrical circuits
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Electrical engineering students, circuit designers, and anyone involved in analyzing and solving electric circuits using the Mesh Current Method.

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given Electric circuit, i asked to find each current (I1 I2 I3 I4) by using Mesh Current Method.

so how you can see in the picture i marked the directions for the 4 currents in blue color.

and i wrote the equations in red color.
what i am not sure is if the equations for I3 and I4 is correct.
so i need help here.

thanks.
 

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The constant current supply in the branch shared by meshes 3 and 4 needs to be handled appropriately. In your equations you've treated it as a zero Ohm resistor, which is not correct.

What you can do is assign it an unknown potential drop (maybe call it Vx), and since it fixes the current in its branch it introduces a new equation that specifies the relationship between the mesh currents I3 and I4, namely: I4 - I3 = 2A.
 
ok i will try it.

thanks.
 

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