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.
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...
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.
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...
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...
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...
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...
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...
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...
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...
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...
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)...
< 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...
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.
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...
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...
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
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.
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 =...
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...
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...
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
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...
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?
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...
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...
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...
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...
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...
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...
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...
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...
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...
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..
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...
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...
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...
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)...
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...
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...
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...
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...
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...
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...
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...
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 =...
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...
[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.