Need help with solving currents using mesh analysis

AI Thread Summary
The discussion revolves around using mesh analysis to solve a circuit problem, with specific attention to Kirchhoff's Voltage Law (KVL). The user has labeled mesh currents and attempted to set up equations, stating values for i1, i3, and i4, but faces challenges in verifying their correctness. Feedback highlights issues with the conclusions drawn about i3 and i4, questioning the basis for these values and pointing out missing elements in the equations, such as voltage sources and proper formatting. Additionally, there is a call for clarity on the specific circuit values needed for the solution. The conversation emphasizes the importance of accurate equation formulation in mesh analysis.
meanmachine
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Homework Statement


2uivnva.png


i can't write the problem text as it is a circuit


2. Homework Equations

I labelled the meshes as clockwise shown on the image
KVL: The sum of voltages around a loop equals zero

The Attempt at a Solution



i1 = 8A

i2: 19(i1 - i2) - 5.54(i2-i3) = 0

i3 = 1.7A (I created a supermesh around the 1.7A current source - inside the BLUE square)
Supermesh equation => i3 - i4 = 1.7A

i4 = 0

i5: (I used KVL around the outside of the blue square)
5.54(i2 - i3) -0.5i3 - 0.29(i4 - i5) -12.6(i4 - i5) - 0.5i3

Can some verify these equations and check they are correct?
 
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meanmachine said:

Homework Statement


2uivnva.png


i can't write the problem text as it is a circuit
But you can at least state what circuit values are required, right? Is it just the mesh currents? Some particular voltage drops? Maybe the power consumed by certain components? Don't leave us guessing!

2. Homework Equations

I labelled the meshes as clockwise shown on the image
KVL: The sum of voltages around a loop equals zero

The Attempt at a Solution



i1 = 8A

i2: 19(i1 - i2) - 5.54(i2-i3) = 0

Okay so far...

i3 = 1.7A (I created a supermesh around the 1.7A current source - inside the BLUE square)
Supermesh equation => i3 - i4 = 1.7A

i4 = 0
Your supermesh constraint equation is good but your "conclusion" that i3 = 1.7A is unfounded. How did you conclude that i3 = 1.7A and that i4 = 0?

i5: (I used KVL around the outside of the blue square)
5.54(i2 - i3) -0.5i3 - 0.29(i4 - i5) -12.6(i4 - i5) - 0.5i3
No, that doesn't look right; it's not even an equation (no "=" sign). Check what current is actually flowing through the 500m resistors; Looks like i4 to me. Also, what happened to the voltage source in the the supermesh loop? Also, you need to write a separate equation for the i5 loop; Two voltages sources there!
 

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