Solving Mesh Analysis Equations for i1, i2 and i3

Click For Summary
SUMMARY

The discussion focuses on solving mesh analysis equations to determine the currents i1, i2, and i3 in a circuit. The user initially sets up the equations incorrectly, particularly the last equation, which should be i1 - i2 = 3 instead of i1 + i3 = 3 + i2. The correct equations derived from mesh analysis include a combination of resistances and current sources, leading to the proper identification of mesh currents. The clarification of the algebraic sum of mesh currents is crucial for accurate circuit analysis.

PREREQUISITES
  • Understanding of mesh analysis in electrical circuits
  • Familiarity with Ohm's Law and Kirchhoff's Voltage Law
  • Basic knowledge of circuit components such as resistors and current sources
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study advanced mesh analysis techniques for complex circuits
  • Learn about Kirchhoff's Current Law and its applications
  • Explore circuit simulation tools like LTspice for practical applications
  • Review examples of solving simultaneous equations in electrical engineering
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing electrical circuits using mesh analysis techniques.

vs55
Messages
20
Reaction score
0

Homework Statement


Use mesh analysis to determine i1,i2 and i3


Homework Equations





The Attempt at a Solution


using mesh analysis i get rid of the 3A current source and the 1ohm resistor
1) -6 + 2(i1 - i3) + 4(i2 - i3) + 8i2 = 0
2) 2(i3 -i1) + 2i3 + 4(i3 - i2) =0
3)i1 + i3 = 3


i'm not sure if i have the right equations set up. For the last equation i also used
i1 + i3 = 3 +i2 to try and solve but the answer was still wrong
i have no idea what i have wrong
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    19.3 KB · Views: 467
Physics news on Phys.org
your last equation is wrong. It must be i1-i2=3 .
The current at a branch is equal to the algebraic sum of the relevant mesh currents.
 
dam can't believe i messed up that simple formula thx
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
18
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 187 ·
7
Replies
187
Views
59K