Hello,
For generating initial velocities on a N-Body code (modeling galaxy dynamics), I need to solve the Poisson equation with Green's function by applying Fast Fourier Transform.
The Fourier analysis being more straightforwardly performed in a periodic system, I use the "zero padding trick"...
Homework Statement
I have attached an image of the problem:
Homework Equations
KCL Equation The Attempt at a Solution
0 = 2i11 + 3(i1-i2)
212 = 3(i2-i1) + 5(i2-i3)
-122 = 3i3 + 5(i3-i2)
5i1 - 3i2 = 0
-3i1 +8i2 + 5i3 = 212
-5i2 + 8i3 = -122
Is this the correct approach?
Also, does anybody...
Homework Statement
Use the mesh-current method to find the power developed in the dependent voltage source in the circuit in figure (Figure 1) if v = 29V.
Homework Equations
∑R in mesh 1 * i_1 - ∑R in common between meshes 1 and 2 * i_2 = v_source in mesh 1
∑R in mesh 2 * i_2 - ∑R in...
Homework Statement
I need to find the Current through short circuit wire (between a and b).
Homework Equations
All the resistor values are same, 100 Ohms
V1 = 5V
V2 = 10V
The Attempt at a Solution
Loop A
ia*(R2+R4+R1) - ib*(R4) = 5
Loop B
10 + (ib-ia)*R4 + ib*R3 = 0...
Hello everyone. Hope somebody can help.
Homework Statement
We are given the following circuit.
http://puu.sh/70uaQ.png
We need to find the currents i1, i2 and i3 by explicitly using the mesh law.
Homework Equations
There are no relevant equations.The Attempt at a Solution
So, I draw these 4...
Specifically what maths do I need to learn to be able to do the following?
Wrap the surface of a 3D volume (convex hull) with a 2D convex hexagonal mesh.
My guesses so far,
Some kind of projection/mapping algorithm?
Some way of calculating 2D Voronoi diagrams on curved surfaces...
Hello everybody. I'm new with Comsol and I'm working with the 4.3b version. I'm trying a simulation of a sphere (in 3D, of course) and I want to figure out in how many points is Comsol evaluating the ecuation. I know I set the maximum and minimum size of the tetrahedrals (I'm using tetrahedrals...
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...
As in the subject. I have created tri mesh on my solid and it is completely irregular. Does it have any impact on later results of the analysis? Can it be repaired somehow? I attached a picture in case you would like to see it. I am working with Marc MSC
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)...
Homework Statement
For the circuit given in Fig 15.53, (a) draw the s-domain equivalent; (b) write the three s-domain mesh equations; (c) determine i1, i2, and i3.
Homework Equations
Laplace Transform table
Zc=1/SC
Zl=SL
The Attempt at a Solution
I have uploaded my work but what...
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...
Hi everyone!
I need help getting started in this project.
Homework Statement
I am trying to simulate the diffusion of a substance in a pipette/cell/cell-membrane geometry.
Homework Equations
Heat Equation
The Attempt at a Solution
I think the best way to tackle this...
Homework Statement
Find the three mesh current.
Homework Equations
KVL
The Attempt at a Solution
I numbered the loop 1 with 2 and 3 ohms, loop 2 with 3, 5, and 212 V, and loop 3 with 3, 122V, and 5. All currents are clockwise.
So for Loop 1: 2i1+3(i1-i2)=0
Loop...
Hi, I have a mesh whose surface is made up of tesselating triangles. I would like to perform an integral over this surface of the form
\int f(\Omega) R(\Omega) d\Omega
Where f is an arbitrary function and R is the radius at that point.
I have a method implemented but it is not working...
Homework Statement
The question asks me to find io by using mesh analysis.
Homework Equations
KCLThe Attempt at a Solution
In fact, the question also asks me to find it by superposition and I found the answer should be:
i0=0.1+0.218 cos(2000t+134°)-1.18 sin(4000t+7.4°)
But I don't know how...
I am building a circuit that is hooked up to a 1.2v NiMH battery. I will be using a wire mesh similar to this: https://www.amazon.com/s/ref=sr_pg_1?rh=n%3A16310091%2Ck%3A304+wire+mesh&keywords=304+wire+mesh&ie=UTF8&qid=1363133769&tag=pfamazon01-20
Unless there is a better mesh for this...
Homework Statement http://imageshack.us/a/img834/5512/homeworkprobsg216.jpg Using superposition, find i.Homework Equations
V = IR,
KVL, KCL,
Nodal / Mesh analysis,
voltage division, current divisionSuperposition procedureThe Attempt at a Solution
So this time the dependent source is a...
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
In the figure ε = 9.55 V, R1 = 2090 Ω, R2 = 3360 Ω, and R3 = 4440 Ω. What are the potential differences (in V) (a) VA - VB, (b) VB - VC, (c) VC - VD, and (d) VA - VC...
Homework Statement
http://img541.imageshack.us/img541/5039/homeworkprobsg27.jpg
Find the value of the voltage Vm
Homework Equations
V = IR,
KVL,
KCL,
mesh equations,
nodal equations
The Attempt at a Solution...
Homework Statement
Apply the mesh current method to find I0
Homework Equations
Mesh current method
The Attempt at a Solution
On the left bottom square circuit, I set a mesh current, I1, and on the right bottom square circuit, I set a mesh current, I2.
Then, I0=I1-I2.
Since...
Homework Statement http://imageshack.us/a/img90/4018/homeworkprobsg25.jpg
Find the three mesh currentsHomework Equations
V = IR,
KCL, KVL, Mesh / maybe nodalThe Attempt at a Solution
I'm not quite sure how to set up the equations
but I#1 = 4A right off the bat, for sure. I may need some...
Hi Guys,
I 'm currently trying to make a 2D model of a sector of a compressor disk with the blade attached to it by means of a frictional contact (as shown in the attached pic). The contact between the blade and disk is frictional (coeff=0.25), augmented lagrange formulation, and adjust to...
I am working over a problem, induction heating of a rod moving inside the furnace with a certain velocity, required to relieve stress from the surface.
The furnace is stationary, means the coil while the rod is moving inside the coils. So, I have given the boundary condition accordingly with...
We are beginning a project in my Intermediate Fluids class to make a program that can do aerodynamic analysis on an air foil. First, given any three nodal coordinates (x,y) of a triangle, we must write a program to compute its surface vectors and area of the triangle. The nodes will be in...
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...
Homework Statement
Homework Equations
V=I*R
The Attempt at a Solution
I started writing the equations for each loop.
Loop 1 -> I1=8A
Loop 2 -> -6Ix + 4I2 + 2(I2-I3) =0 and Ix=I4-I2
Loop 3 -> I don't know how to approach the dependent current source here.
Loop 4...
When I apply the equations in phasor domain V1=jω(L1)(I1)±jωM(I2) and
V2=jω(L2)(I2)±jωM(I1) and then mesh analysis should I consider the other mesh on the far right side with the capacitor? In other words, this is the first problem that I've seen or had such as this and since I2 is a...
Suppose a square metal mesh sheet is hung off-center from a string and you are charged with the task of hanging various weights so that the mesh will be in static equilibrium, roughly horizontal. Why is it that this task must be done with masses that can exert torques large enough to flex the...
Homework Statement
Mesh and nodal analysis are used to find unknown currents and voltages in planar networks. Why is it necessary when performing these network analyses that all of the source frequencies be the same?
The attempt at a solution
I know that superposition let's us analyze...
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...
Solve i_x when a=2. (See attached picture)
This is my attempt (mesh current analysis):
I made i1 be the lower left loop current.
I made i2 be the lower right loop current.
I made i3 be the upper loop current.
Mesh1: i1 = 2ix
Mesh2: -10 + 3(i2-i3) + 20i2 = 0
Mesh3: -5 + 3(i3 -...
I'm currently attempting to implement the "Particle mesh ewald" method for a molecular dynamics simulation. It has the advantage of having an algorithmic complexity of O(n log(n)), compared to a normal O(n^2) complexity for a regular approach.
I've been reading through the original papers for...
Homework Statement
Develop the mesh-current matrix equation for the circuit.
http://i.imgur.com/tvZA0.png
Homework Equations
ƩV_{n} = 0
The Attempt at a Solution
I used Mesh current analysis to find 4 equations, but the equations for the first and second mesh are not related...
Hi Guys,
I have an query. I would like to know the best tool for Simulation, Geomtry and Mesh creation. I want to simulate a duct with a turbine in it as a Part of my research project. I am beginner for the simualtion field so please suggest accordingly the appropriate software. Also please...
Dear All,
I have encountered the following situation:
Given a node that is connected through n resistors to n ports.
One if the resistors is a negative resistance and equals to minus of all other resistors in parallel.
\frac{1}{R_n} =- \sum_{i=1}^{n-1} \frac{1}{R_i}
Using the well known...
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 =...
Hello,
The value of electric potential(∅) is known at every node in a 3d finite element mesh. The relation between electric current density(i) and electric potential(∅) is i=k.∇∅, I am writing a code in c, I want to know how to find the gradient of electric potential(∇∅) at every node so...
Hi,
i need some help in writing the surface mesh in abaqus. i have a wing model, meshed using hexahedral mesh. now what i want is to write the surface element detail on a file, containing the element number and its neighbouring four nodes. for example
12, 2 3 5 6
here 12 is the element number...