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.

View More On Wikipedia.org
  1. cianfa72

    Write Down Loop-Impedance Matrix for Current-Controlled Current Sources

    TL;DR Summary: How to write down the loop-impedance matrix in case of Current-Controlled Current Sources Hi, as in the following linear network, I would like to write down the loop-impedance matrix for it where there is a CCCS ##2i_1## source. The starting point is the network elements...
  2. S

    Engineering Please help me with this circuit question using the superposition theorem

    I have tried many times to solve this network, but can't understand how to get current in each resistors by superposition theorem. Please help me to solve and find currents in each 3 resistors with solution. Note:- The figure is attached below.
  3. jisbon

    Engineering Mesh Analysis for time domains?

    I've tried to solve the following circuit using mesh equation, but the solution seems to differ from my attempted answer. Mesh circuit as follows: My mesh equation is: -10+3(i1)+2s(i1-i2)=0 (for the mesh on the left) and -10+12(i2)+6s(i2)+2s(i2-i1)=0 (right mesh) However the answer seems to...
  4. Zack K

    Mesh Analysis Method for Finding Current in a Circuit with Dependent Source

    Homework Statement Find the current in each resistor. (refer to uploaded diagram) Homework Equations ##Kirchhoff's Law: I_s=I_1 + I_2## Mesh analysis method The Attempt at a Solution I'm calling ##I_s## the total current before and after the current splitting up, and ##I_1## and ##I_2## are...
  5. Toolkit

    Engineering Circuit Mesh analysis question

    Homework Statement Homework Equations I've worked out the KVL's for four meshes, I1, I2,I3, and I4. Would anyone be able to error check this for me? Also, would I be correct in thinking that I can use ohm's law by dividing V1/Z1 to find the current of the first mesh and likewise with...
  6. stipan_relix

    How to find power and voltage using the mesh current method?

    Hi. I am practising for my test and since I don't have the correct answers, I don't know if what I'm doing is right. I tried to solve this problem, can you check it and correct if it's wrong? Here's a clearer picture of the circuit. I suspect Uab isn't right, but am not sure. Thanks...
  7. K

    Mesh Analysis AC, solving simultaneous equations....

    Homework Statement Hi guys I'm doing the mesh analysis of AC circuit and looking for some guidance. Here is the mesh picture and some components data: Homework Equations Kirchoff's voltage law and current law.The Attempt at a Solution I decided that mesh currents are going in clockwise...
  8. P

    Engineering Solve this Circuit using both Nodal Analysis and Mesh Analysis

    Homework Statement [/B] Determine, Using the values given in TABLE A, the current I in the circuit of figure 2 by (a) Mesh analysis (b) Nodal analysis Circuit diagram and given variable attached. V1 = 120 V2 = j120 V3 = 14.142+j14.142 Z1= 2 Z2=-J5 Z3=4 Z4=-J5 Z5=J4Homework Equations [/B] KVL...
  9. R

    Node Analysis on Circuit: Solving for R3 Current

    I have no idea how to do the node analysis for this circuit. I have done the mesh analysis and got the current in R3 to be 4A is this right?
  10. kstorm19

    Solving a circuit using both the mesh and node analysis

    Homework Statement The problem asks to solve for i1, i2, and i3 using the mesh method in the following circuit: I will also include the link, because I noticed I am having trouble attaching the image to the post: https://imgur.com/a/bBvuLXM I would also like to confirm the answer by solving...
  11. billyray

    Completely stuck on mesh analysis

    Homework Statement I have a circuit that I am to analyse and find I. I am told to use an excel matrix sheet given to me to solve 3 unknowns. I have 4 loops so this is a problem. I have made an attempt using three loops and referred to a previous thread on here for some help. It says I can do...
  12. G

    Arbitrary current with mesh analysis

    Given the circuit in the diagram I was wondering would I be able to make ib equal to the mesh i3. I have the equation for my Super Mesh at i1 and i3 which is: -25+30i3+5Va+20(i3-i2)+10(i1-i2)=0 (1). The mesh i2 is equal to -2A (2). subbing (2) into (1) gives: -25+50i3+5Va-30i2+10i1=0 (3)...
  13. A

    Mesh analysis -- Where does the negative sign come from?

    < Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > Hi, I couldn't figure out from the equation that relate the current source IS to IA and IB. If both IA and IB is coming from the same direction and the positive terminal has been predicted...
  14. Cocoleia

    Frequency domain and mesh currents

    Homework Statement Homework EquationsThe Attempt at a Solution So far I was able to transform each element into the frequency domain: I am just unsure how to work with the dots to find the mesh currents. Can someone explain? Thanks.
  15. D

    Finding the charge on a capacitor

    Homework Statement [/B] ##E_1=6V## ##E_3=5V## ##R_1=150Ω## ##R_2=R_3=100Ω## ##R_4=50Ω## ##R_5=300Ω## ##C_1=1.5 mF## ##C_2=0.5mF## Text: In the first condition when the switches 1 and 2 are open the capacitor 2 has charge on it. First the switch 1 closes and the charge flow of ##q_1=1 mC## is...
  16. Cocoleia

    Analysis with Opamps: Find Gain & Solve for Unknowns

    Homework Statement I need to find the gain. Homework EquationsThe Attempt at a Solution I know gain will be Vo/Vs. I originally tried to write different equations for each node, but I ended up with 5 eqns and 5 unknowns, and in the end it gave that vs=0V. Can someone give me an idea of what...
  17. Cocoleia

    Mesh analysis with dependent sources

    Homework Statement I need to use mesh analysis to find the three currents: Homework EquationsThe Attempt at a Solution The answers are I1= -1.25A, I2=0.125A and I3 = 1.125A I don't know where I messed up for I3
  18. E

    How to do Mesh Analysis with current controlled voltage source

    Homework Statement Vs = 100cos(2000t) Homework Equations KVL, KCL The Attempt at a Solution My mesh equations are: -Vs + I1(30-12.5j)-I2(120j)=0 4Ix+I2(120j+20)-I1(120j)=0 Ix = (I1-I2) Are these correct? When I solve I get a different result than when I do nodal analysis.
  19. E

    Mesh analysis with dependent voltage source

    Homework Statement Find the: -Complex power delivered by source -Power factor of total load -Is the power factor leading, lagging, or in unity?[/B] Homework Equations KVL/KCL The Attempt at a Solution I want to solve this via mesh analysis to get currents. Mesh1: -10V + V1 + 0.75V1 = 0 V1 =...
  20. E

    Mesh Analysis w/ Supermesh and "different" current direction

    Homework Statement Find power absorbed by resistor, capacitor and inductor. Find the total complex power absorbed by all the loads.[/B] Homework Equations KVL/KCL The Attempt at a Solution I want to solve this using Mesh analysis. There is a supermesh where the 5A source is, so I start it...
  21. E

    Mesh Analysis: Converting from Time to Frequency Domain with Correct Equations

    Homework Statement [/B] 1. Convert from time to freq domain 2. Use mesh analysis to find I1, I2, I3 3. Find Ve and convert it to time domain Homework Equations KVL V=IR The Attempt at a Solution Are these mesh equations correct? 45cos(500t) -> 45V 80mH -> 40j 50mH -> 25j 25uF -> -80j 12.5uF...
  22. E

    Find Node A and B Voltage with Mesh Analysis

    Homework Statement Use Mesh analysis to find voltage of Node A and B Homework Equations V=IR KVL The Attempt at a Solution Are my mesh equations correct? Mesh1: -j30V + (-j50 + 10)I1 - 10I2 = 0 Mesh2: (10-j20)I2 - 10I1 - j50V - I3(-j20) = 0 Mesh3: (-j20+30+j10)I3 - (-j20)I2 = 0
  23. V

    Engineering Electric Circuits - Superposition and Mesh Analysis

    Homework Statement Exercise 4.15 on the image. The exercise asks for the value of the current I using superposition Homework Equations Superposition theorem, nodal and mesh analysis The Attempt at a Solution I think i am doing the mesh analysis wrong, but can't see where. Can someone...
  24. V

    Mesh current equation in matrix form

    i3 -? This is how I tried to solve using cramer's rule (denominator is the determinant of the matrix, while numerator is the determinant of the modified matrix) I ignored the prefix Kilo, but the method is right. So I get a different value for i3. Does anyone know what's wrong?
  25. V

    Find voltage across resistor using mesh current analysis

    I'd like to find Vth by mesh current analysis. Mesh A and B share a current source, so they're treated as one supermesh. What's the equation for this supermesh? Also, do I ignore the loop with the open circuit? Since there's no current flowing there... 2A = ib - ia Anyway, is this the right...
  26. S

    Treating Voltage Sources in Mesh Analysis: Clockwise Drop or Rise Positive?

    1. I have a question regarding the treatment of voltage sources in Mesh Analysis by inspection. I hope this is the correct place to post. In my course textbook (Fundamentals of Electric Circuits 4e p. 101) it says that the voltage is the algebraic sum taken clockwise of all independent voltage...
  27. T

    Find current using Mesh Analysis

    Homework Statement Use the mesh-current method to find the branch currents ia, ib, and ic in the circuit in figure.(Figure 1) And find currents i_a, i_b, and i_c if the polarity of the 77V source is reversed. The values of v1 and v2 are 77V and 16V , respectively. Homework Equations Mesh...
  28. T

    Mesh Analysis KVL: Homework Solutions

    Homework Statement Homework EquationsThe Attempt at a Solution I'm not getting the correct answers, this is what I tried Loop 1: 150 - 14*i1 - 6(i1+i2) = 0 Loop 2: -24 + 3*i3 = 0 Therefore i3 = 8A 7A = i2 + i3 Therefore i2 = 7-8 = -1A Plugging that in equation 1, I get...
  29. Q

    Find current using mesh analysis question?

    Homework Statement We have the circuit in the figure.I have to find Io. Homework Equations Mesh current analysis. The Attempt at a Solution The first mesh is i1 and the second one is i2. We have a supermesh here.Supermesh results when two meshes have a (dependent or independent)current...
  30. A

    Mesh analysis and power dissipation

    Hi I'm taking an intro course to electrical and computer engineering and I'm having trouble figuring out part c of number one. I have attached a copy of my solutions to parts a and b which I believe are right (correct me if I'm wrong please) however when I calculate the power dissipation of each...
  31. 159753x

    Easy electrical engineering question - why is my answer wrong?

    Hi! This is simple mesh analysis. I wanted to try to solve the problem with nodal analysis. 1. Homework Statement Homework Equations V = IR We are supposed to use mesh analysis or node analysis. The Attempt at a Solution [/B] First step: the two current sources (independent and...
  32. M

    Need help with solving currents using mesh analysis

    Homework Statement i can't write the problem text as it is a circuit [b]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...
  33. B

    Calculators Troubleshooting Mesh Analysis on the Ti-nSpire CAS Calculator

    I have just gotten my new Ti-nspire CAS calculator and seem to be stumped. I have created my two equations from my mesh analysis of a circuit. Loop I2: I1(2+j2)+I2(8-j2)=12 Loop I1: I1(-j2)+I2(j-4)=0 I know I can solve this by hand but would like to learn to use my nspire. Any direction...
  34. P

    Get Expert Help with Mesh Analysis for Circuit Equations | Homework Assistance

    Homework Statement Hi Basically, I have to learn about mesh analysis and have been given a circuit from which I am meant to find the equations to find the currents through each load in the system. Thing is, I am not sure whether my loops for solving the circuit are correct. Would...
  35. I

    Mesh Analysis Question: Why I3-I2?

    http://photouploads.com/images/untitleda.png Basically, in the last step, why have they done I3 - I2 rather than the other way round? Thanks PS: I have not embedded the image because its size is too large..
  36. I

    Unsure why I am getting this mesh analysis problem wrong

    I considered loop I1 and got the correct equation for it. Then I applied the mesh analysis method to loop I2 but I'm getting one term wrong (its sign). Starting in the top left corner of loop I2, 30I2 - 90(I2 -I3) - 5(I1 - I2) = 0 Everything is correct apart from the -90, its supposed to be...
  37. I

    Nodal and Mesh Analysis vs Simple Ohms law?

    At high school we were taught basic circuit formulas such as V=IR, P=IV etc but now I am studying circuits in Engineering (at university) we have been introduced to the techniques of nodal and mesh analysis. My question is, when and why do we use these techniques rather than the...
  38. Z

    Mesh Analysis / Sign Convention - Conceptual Problem

    Homework Statement I am having a little trouble using mesh analysis. I'm trying to stick rigorously to the passive sign convention, as I'm told that this is sensible. Consider the circuit diagram attached, where I have added the mesh currents in orange. In red are the polarities for the...
  39. S

    Mesh Analysis: Solving for I1 with Loop Equations

    Homework Statement Use mesh current analysis to determine I1 Homework Equations Loop 1 47i1+j100(i1+i2)-12=0 (47+j100)i1+j100i2=12 Loop 2 -j75i2+j100(i1+i2)-10=0 j100i1+j25i2=10 The Attempt at a Solution Homework Statement Homework Equations j100i1+j25i2=10 (-4)...
  40. N

    Current Transform and Mesh Analysis

    1 Problem Statement: 2 Relevant Equations KVL KCL Ohm's Law 3 Attempt at Solution I solved Problem 4.2, which was just mesh analysis on the original problem. I got the correct answers, indicated by F.A. The problem I am having with 4.3 is how to redraw the circuit with the...
  41. S

    Mesh analysis and 3 simultanious equations

    Homework Statement Apply mesh analysis to determine the magnitude and phase of the currents in the circuit of FIGURE 4, given the values in TABLE A Vs = 20 Vrms Z1 = 0 - j5 Ω Z2 = 5 + j5 Ω Z3 = 5 + j5 Ω Z4 = 0 - j10 Ω Z5 = 10 + j0 Ω Homework Equations KVL Simultanious...
  42. mishima

    Mesh analysis, 2 meshes 1 known current source

    Homework Statement Find i1 in the following figure, given: Vs=10V, I=1A, R1=5, R2=2, R3=4 Homework Equations KVL The Attempt at a Solution Applying KVL to mesh 1: Vs-i1R1-(i1-i2)R3=0 and i2=I=1A So, i1=(Vs+i2R3)/(R1+R3)=(10+1*4)/(5+4)=14/9=1.56 A But book gives answer as...
  43. A

    Engineering Need help to find I in a circuit (mesh analysis?)

    Homework Statement http://tinypic.com/r/3478nle/6 need to find the current I Homework Equations was thinking about using mesh current analysis, but our teacher hasn't gone over it yet. The Attempt at a Solution no clue, totally stumped on what to do. was thinking mesh analysis and i...
  44. B

    Engineering Circuit Calculation - Mesh Analysis

    Homework Statement Hi, I'm trying to find what I(t) and V2(t). https://dl.dropbox.com/u/672601023 The Attempt at a Solution - Firstly I'm changing to impedances and then predefining a few new variables - zc1, zr1, zc2, zr2 and zc3 - then I'm going to do mesh analysis...
  45. T

    Why is my mesh analysis incorrect?

    Homework Statement EDIT: I THINK I FIGURED IT OUT, JUST NEED SOMEONE TO CONFIRM. I think the reason why my mesh analysis is wrong is because there is a voltage drop across the current source. Am I right? Here is the problem along with my attempt Find Io using mesh analysis: Alright so if...
  46. P

    Mesh analysis in non-planar circuits

    How to solve non planar circuits using mesh analysis? Is it possible or not?
  47. E

    Engineering Mesh Analysis of an AC circuit.

    I need to perform mesh analysis using complex numbers on an AC circuit. My issue, is I don't understand how to do this. The circuit contains only one voltage source, where we have only been taught how to perform a mesh analysis on a circuit that contains 2 voltage sources. Can someone show me...
  48. J

    Delta/Wye 3-Phase Using Mesh Analysis

    Hi, I have to solve a 3-phase circuit using mesh analysis. The source is a balanced Delta Phase A = 480V at 0 deg, Phase B is at -120 deg, and Phase C is at 120 deg. The load is a balanced Wye load at 0.99 + j 0.66. My mesh equations are as follows: Vab = I1 * ( Z1 + Z2) - I2 * Z2 Vbc =...
  49. B

    Nodal and Mesh Analysis Equations for Node Voltage & Mesh Current Methods

    Homework Statement Find the node voltage method equations. Do not solve Find the mesh current method equations. Do not solve Homework Equations NoneThe Attempt at a Solution Using nodal analysis: Node v1 : -Is4+(v1-v2)/2+v1/20-10=0 Node v2 : Is4+(v2-v1)/2+3+(v2-30)/5=0 Looking at this I feel...
  50. B

    Mesh Analysis (2 loops 3 supplies)

    [b]1.Find the voltage drop across each resistor? (I'll be able to do this after finding out the currents) I've had a go at the formulas but not sure if they're right I've never done 3 voltage sources before so the middle one is putting me off. Any help with the formulas would be great thanks.