What is Mesh analysis: Definition and 84 Discussions

Mesh analysis (or the mesh current method) is a method that is used to solve planar circuits for the currents (and indirectly the voltages) at any place in the electrical circuit. Planar circuits are circuits that can be drawn on a plane surface with no wires crossing each other. A more general technique, called loop analysis (with the corresponding network variables called loop currents) can be applied to any circuit, planar or not. Mesh analysis and loop analysis both make use of Kirchhoff’s voltage law to arrive at a set of equations guaranteed to be solvable if the circuit has a solution. Mesh analysis is usually easier to use when the circuit is planar, compared to loop analysis.

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  1. H

    Mesh Analysis: Solving Loop Equations with KVL/KCL for Homework

    Homework Statement Homework Equations KVL/KCL The Attempt at a Solution Meshes for; Loop 1 20 = 6i1 - 4i2 - 2i3 Loop 2 -4i1 + 18i2 - 8i3 = 0 Loop 3 2i1 + 8i2 + 6i3 +10i0 = 0 For the life of me I cannot get -5A as the answer. I have tried the following for i0; i0 = i1 - i2 i0 =...
  2. J

    Engineering Maxwell's mesh analysis dc circuit

    Homework Statement Find the value of CSB(current source B) and determine the value of I. Homework Equations Mesh equations The Attempt at a Solution mesh: a -> Ia = 0 b -> 11Ib = -12 c -> 6Ic = 12 d -> 2Id = -8 e -> Ie = -CSB Ic = 2 A Id = -4 A then I cannot...
  3. P

    Engineering Mesh Analysis of a Larger Circuit

    Homework Statement We have been doing mesh analysis of circuits, and I am just trying to work out how to do it in a larger circuit. Homework Equations 2. Using mesh analysis work out the currents flow through each of the three meshes. From these current values calculate the voltage...
  4. J

    Engineering Solving circuits using mesh analysis

    Hi guys, is there anyway i can solve the voltage across the current source using Mesh Analysis. I already solved for the voltage across the current source using Nodal analysis. And btw, do you have any tips which technique is the best to use (Kirchoff's, Mesh, Nodal analysis) for different...
  5. F

    Simple Mesh Analysis Homework: Solving for Current in a 0.25 Ohm Resistor

    Homework Statement Please see the attached file for the problem statement. I am attempting to find the current across the .25 Ohm resistor. Homework Equations Using kirchhoffs voltage law I write the following equations: (1 Ohm)(2 amps) + (.25 Ohm)(2 - M1) = 0 The Attempt at a...
  6. B

    Understanding Nodal and Mesh Analysis

    Hi guys, I've referenced this forum many times so now its time to join! My problem, I'm having trouble understanding Nodal and Mesh analysis (and when to use each one, and why), especially when inductors and capacitors are present. For example here is a question that was proposed to me...
  7. J

    Mesh Analysis for AC RLC Circuits: Finding Vo and Io

    hi guys I am trying to fined Vo and Io using mesh analysis for the following cct The formulas I made from the cct using mesh analysis don't seem right here is what I have- loop1 2(I1 - I2) = 0 loop2 2(I2 - I1) + I2(j4) - 3Vo = 0 loop3 3Vo + I3(-2j) = 0 and I1 = 4<-30 vo...
  8. P

    Solving a Circuit with Mesh Analysis

    Homework Statement see attached Homework Equations The Attempt at a Solution I'm working on the first circuit at the moment.We have to use mesh analysis to find the voltages at the i have put it in multisim and know the voltages are 4.78 and 4.58 respectively. i have done the...
  9. A

    Using Mesh Analysis to Solve for Current and Voltage in Complex Circuits

    this question is part of my electronics CW, I've done it before, but briefly. and looking back at all my old notes I've realized that every single one I've done before has 2 sources and only 2 loops, whereas you can see from the image below that this has 3 and its getting me in quite a...
  10. Saladsamurai

    Circuits: Mesh Analysis with Phasors

    Homework Statement I am supposed to use mesh current analysis using the following circuit diagram which is in the phasor domain: Homework Equations KVL The Attempt at a Solution Let's number these meshes from left to right 1,2,3. Here is what confuses me: If take a look at...
  11. Saladsamurai

    Circuits: Solve Using Nodal and mesh Analysis

    Homework Statement Homework Equations KCL & KVL: The Attempt at a Solution Ok folks :smile: I am not sure where to go from here. Someone suggested changing the 144V to its Thevenin equivalent, which I have done below. I know that I am supposed to apply KCL at each node...
  12. V

    Solving Mesh Analysis Equations for i1, i2 and i3

    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...
  13. G

    How to tell which way current flows in mesh analysis

    The problem can be seen @ http://gregsomers.com/elg.jpg Depending on what way is chosen for the current going through the 50ohm resistor, there are completely different answers... how do i know which direction to choose? I.E. 50(i2-i3) for current flowing to the right OR 50(i3-i2) for...
  14. A

    Wye - Delta conversion and Mesh Analysis

    Homework Statement a) Use Y-Δ transformation to simplify the circuit in Figure 2-a to that in Figure 2-b and find the elements and values of Z1, Z2 and Z3 b) Use mesh analysis for the circuit in Fig. 2-b to calculate I1 and I2 Here are the circuits...
  15. C

    Engineering Circuit - Having issues with mesh analysis

    This was a test problem on an exam of mine. The problem asks for you to find the current through the 8 ohm resistor, which is 2.5 amps. I can solve the circuit by superposition or by source transformation and then reduction, but I cannot seem to solve it with mesh analysis. I defined three...
  16. James889

    Mesh Analysis Help: Solve Circuit for i1 & i2

    Hi, I have the following circuit: [PLAIN]http://img265.imageshack.us/img265/6476/upg2.png But when i try to calculate the mesh currents i end up with the wrong answer. This is what i did: Equation for i1: 6i_1 + 18(i_1-i_2) -30 Equation for i2: 17i_2 + 18(i_2-i_1) -19 Adding currents in the...
  17. T

    Engineering Circuits II, can someone check my equations ? Phasor Mesh Analysis

    EDIT I mean nodal, not mesh analysis xD http://img205.imageshack.us/img205/5931/omgt.jpg http://img694.imageshack.us/img694/2570/omg2p.jpg Are my are my equations correct? Here is the solution according to wolfram...
  18. T

    Learn Mesh Analysis: Find Current in RL Circuits

    http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink Image : [PLAIN][PLAIN]http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink How do i use mesh analysis to find the current of RL? can...
  19. G

    Engineering Issue with mesh analysis of 4 loop circuit

    Homework Statement The problem, as given in the textbook is: http://www.mcschell.com/circuit.jpg Homework Equations KCL, KVL The Attempt at a Solution The issue I'm having with this problem is that I get two different values for Ix depending on how I set up the equations for this...
  20. N

    How Does Substitution Work in Mesh Analysis Equations?

    I understand everything up to the point which I've marked in red... Can anyone explain those few lines? I would greatly appreciate it! Thanks.
  21. Y

    Mesh Analysis: Learn the Basics for Electronics

    Homework Statement Hello can you tell me a story about mesh analysis in electronics.I had no knowledge in mesh analysis so can I have a minimum knowledge in this topic Homework Equations The Attempt at a Solution
  22. J

    Engineering Solving Dependent Voltage Sources in AC Circuit Mesh Analysis

    Im doing mesh analysis on an AC circuit only problem is i don't know how to handle the dependant voltage source. My circuit: http://img139.imageshack.us/my.php?image=accircuitrx0.jpg I think I am supposed to just assign a value for Vo but I am not sure. Is it possible to work out what Vo...
  23. Z

    Determining node voltage using Mesh Analysis and Thevenin's Theorem

    Homework Statement Using mesh analysis work out the currents flow through each of the three meshes. From these current values calculate the voltage of node A, and node B with respect to the ground node. Find equivalents of sub circuits A-G, B-G, A-B by applying Thevenin's theory. Then...
  24. S

    Find Current Through R2: Mesh Analysis

    Hello everybody on the physics forum, i was just looking for someone to point me in the right direction and tell me if my equations are right Homework Statement Determine the current though the resistance R2 by mesh analysis http://www.freeimagehosting.net/uploads/a77e95d378.jpg The...
  25. J

    Solving Circuit with Mesh Analysis

    [SOLVED] Mesh Analysis Homework Statement I am having trouble solving this circuit for its currents. I have also tried nodal analysis, and haven't been able to come up with anything http://img90.imageshack.us/img90/4240/circuitfp2.th.jpg Homework Equations The Attempt at a...
  26. K

    Solve Mesh Analysis Problem: Find Current Through 4 Ohm Resistor

    Homework Statement Use mesh analysis to find the current through the 4 Ohm resistor. Homework Equations The Attempt at a Solution From this circuit I managed to work out the three mesh equations using mesh analysis. Mesh 1 = 7I1 + 4I2 = 67 Mesh 2 = -4I1 + 15I2 - 6I3 = 152...
  27. K

    Mesh Analysis: Solve I, Vab, Vac, Vbd, Vcd

    Homework Statement For the following circuit determine: I, Vab, Vac, Vbd, Vcd See attachment for circuit diagram. Homework Equations Mesh Analysis method The Attempt at a Solution Using mesh analysis: -7V + I1 - I2 + 6V + 2I1 -2I3 = 3I1 - I2 -2I3 ------------------mesh 1...
  28. K

    Mesh Analysis - confusion on writing equations

    I'm quite confused by mesh analysis. I understand that the idea is basically to apply KVL to each mesh. For example, if you have a loop that contains, say, a 3ohm and 2ohm resistor, and that's it, what is the correct KVL equation? Is it simply 0=3I+2I? As another example, check out this...
  29. H

    Dynamic Mesh Analysis for Wind Turbine Blades

    Hello , I am a 4th year ME ,I have as an Final year project to do a dynamic mesh analysis for the blades of a wind turbine ! unfortunately , i don't know how to start since it is the first time I work with the Dynamic mesh . I practiced ont he Fluent softwares when I took the CFd course, so i...
  30. D

    VERY quick question on Mesh Analysis

    Homework Statement http://img266.imageshack.us/img266/7097/screenshot01sm8.jpg If I use mesh analysis, can I assume that Ix in the lower right mesh will be my mesh defined current (the only current through that mesh)?
  31. D

    How Do You Solve a Circuit with Four Meshes Using Mesh Analysis?

    Mesh Analysis -- (4 meshes) Homework Statement http://img185.imageshack.us/img185/1541/screenshot01ly9.jpg Homework Equations V=IR KVL The Attempt at a Solution Loop 1 is the top left loop. Loop 2 is the top right loop. Loop 3 is the bottom right loop. Loop 4 is the bottom left loop...
  32. V

    Mesh Analysis - Super Loop Question

    So here is what the problem states: Use both nodal analysis and mesh analysis to find Vo in the circuit below. http://synthdriven.com/images/deletable/EEN201-05.jpg My confusion: I'm okay with the nodal analysis, I'm just a bit confused with the mesh analysis... I'm confused as to...
  33. S

    Solve Mesh Analysis Problem: Use Super Mesh?

    Hi Guys! well! i have made my all efforts in solving this circuit please help me. WHat technique should i use? Super mesh? or what? Plz help me
  34. F

    Help with mesh analysis, please

    I need help with the following mesh problem. Doing the source conversion screws me up. I really need to get this problem correct and would like to check my answer with somebody who is more competant than myself at mesh analysis. Please help asap Thanks in advance
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