Need help with solving currents using mesh analysis

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SUMMARY

The discussion focuses on solving mesh analysis problems in electrical circuits, specifically using Kirchhoff's Voltage Law (KVL). The user attempts to calculate mesh currents, identifying i1 as 8A, i3 as 1.7A, and i4 as 0. However, the calculations are questioned, particularly the conclusions drawn about i3 and i4, which lack proper justification. Additionally, the equations presented for i2 and i5 are incomplete and require further refinement to accurately represent the circuit's behavior.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with mesh analysis techniques
  • Basic knowledge of circuit components such as resistors and current sources
  • Ability to formulate and solve simultaneous equations
NEXT STEPS
  • Review mesh analysis techniques in electrical engineering textbooks
  • Practice solving circuit problems using KVL with various configurations
  • Learn how to construct and analyze supermesh equations
  • Explore the impact of voltage sources in mesh analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to improve their skills in mesh analysis and circuit problem-solving.

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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