Maxwell Definition and 454 Threads

As per Maxwell reciprocal theorem, it is valid only for elastic materials and structures indergoing small displacements.That is k12 = k21, kij = kji hence stiffness matrix is symmetric. Howbver, I just have been going through MY OWN written programs for geometric non linear problems and I...

Homework Statement The field E(r,t) can be written as a Fourier expansion of plane waves E(r,t)=∫E(k,w)e^{i(kr-wt)}d^{3}kdw with similar expansions for other fields. Need to show the derivation of kXE(k,w)=wB(k,w) from Faraday's law ∇XE(r,t)=-∂B(r,t)/∂t and also the derivation of...

To preface my problem, you should know what I'm deriving. When I try to find the most probable speed of a classical, nonrelativistic particle as described by the Maxwell speed distribution I find that it is vmp=(2*k*T/m)^(1/2). The kinetic energy associated with this particle would then be...

I want to know if the Maxwell speed distribution is the following. An ideal gas system of n particles, say constrained to the unit box, has the phase space ([0,1]^3 x R^3)^n. That is, [0,1]^3 for the position of a particle, R^3 for the velocity, and all to the n since there are n particles...

Hello, Where can I find a good explanation (book) of the derivation via Noether's theorem of the three momentum and angular momentum operators of the usual maxwell lagrangian ? Thank you!

I was reading a book, 'Introducing Quantum Theory' by J.P.McEvoy, and I find it difficult to understand in details of Maxwell Distribution, Thermal Equilibrium, Fluctuation, Wein's law and Planck's quantum theory, so I am finding it difficult to follow Einstein's explanation of photoelectric...

Hi. I am trying to understand Maxwell's equations. I am used to Gaussian units. The following sums up what I do not understand. (Or at least one thing I do not understand ... ) Let x0 be a position situated in a vacuum, with no photons in it, next to an infinite pane of glass. Ions arrive at...

Hey all, This has been bugging me for quite a while now. My question is essentially about how one shows that Maxwell equations are invariant under Lorentz transforms. Writing them in index notation, it is usually appealed to that all terms involved are Lorentz tensors (or contractions thereof)...

Homework Statement The three quantities Vmost probable, Vaverage, and Vrms, are not the same for the Maxwell speed distribution in 3D. If you restrict the gas to only be one dimensional, are these three quantities equal to each other? Justify your answer with a short explanation. Homework...

Hi everybody, I would like to compare inductance (self and mutual) calculations using FEMM and Maxwell 13, both 2D problems. In FEMM this is very simple and I just use an axissimetric solution, enter the desired frequency, currents and get the results. When using Maxwell...

Dear fellow physicists, looking at the derivation for the maxwell equations into k-space, I've stumbled upon something that seems not so logical to me. It is concerning the two parts where they transform \nabla \times E and \nabla \bullet E on page 27 (on the sheets 14)...

Hi community: I'm Federico and I'm new user here! I'm trying to show that the Electromegnetic Field Tensor F_{ab} = 2A(r) (e_{0})_{[a}(e_{1})_{b]} + 2B(r) (e_{2})_{[a}(e_{3})_{b]} where (e_{0},e_{1},e_{2},e_{3}) is the tetrad basis associated with the metric ds^2=...

So I keep hearing that the maxwell equations are variant under Galilean transform. Tired of simply accepting it without seeing the maths, I decided to do the transformation on my own. To make things easy, I only tried Gauss' law, furthermore I constricted the field to the x-axis only. So I have...

Dear all, I'm studying a paper on coupled magneto-mechanical problems. Suppose we have a "deformable" ferromagnetic bar placed in an initially uniform magnetic field. Both ends of the bar are clamped. The bar has magnetostriction property, so it may expand or contract depending on the the...

Hi all, I want to learn tools like MAXWELL 2d 3d , MAGNET, FLUX etc. I want to know if I'll need to know CAD and FEM Analysis to learn the above mentioned tools. Thankyou, Chaitanya

Hello, I'm trying to make a sort of "system theory approach" to dynamic Maxwell's equations for a linear, isotropic, time-invariant, spacely homogeneous medium. The frequency-domain uniqueness theorem states that the solution to an interior electromagnetic problem is unique for a lossy...

2A\mu=-\muoJ\mu Griffith's Introduction to Electrodynamics refers to this 4-vector equation as "the most elegant (and the simplest) formulation of Maxwell's equations." But does this encapsulate the homogeneous Maxwell Equations? I see how the temporal components lead to Gauss' Law, and I'm...

Which do you think of the two contributed most to humankind.

halo, I´m stuck in an definite integral... P(v)=4π (M2πRT)3/2⋅v2⋅e−Mv2nRT (maxwell speed distribution) How can I calculate the fraction of Ar in mars? pd. I got already the scape velocity But... How can I intregrate and evaluate between (0, 5XE3 m/s) or (5XE3 m/s, infinite) ...

Hi all, It seems to me that the derivation of Maxwell stress tensor is independent of the permeability of the media or the nonliterary of its B-H relation. By this I mean that we use μ0 in the equations rather than μ. Would you please confirm that?

Dear All I have a question about the validity of Maxwell Boltzmann velocity distribution in the case of nanoscale systems. When you consider a nanoscale system such as flow of water molecules (less than 100 molecules) through a carbon nanotube or graphene sheet, is it possible to expect a...

Homework Statement to compute 1d fdtd maxwell equation using yee algorithm with fortran 90Homework Equations 1D discretization for maxwell equation (TEM mode) : electric field vector: Ez(i-1/2,n+1/2) = Ca*(Ez(i-1/2,n-1/2) + Cb(Hy(i,n)-Hy(i-1,n) magnetic field Hy(i,n+1) = Da*(Hy(i,n) +...

In the Lorenz gauge, the Maxwell equations reduce to four inhomogenous wave equations, with the charge density acting as the source for V, and the current density for A. For now, just take a static charge distribution -- say, a point charge at the origin. It is well known that a static...

Hello, I'm currently conducting a very serious high school research project titled: Maximizing Energy Efficiency of a Linear Electromagnetic Accelerator I have recently been bestowed with a temporary license for a very advanced 3-dimensional electromagnetism simulator that should allow me...

Hello I am new with Maxwell. I made a motor drawing in solidworks and imported it in maxwell. I found some tutorials, and searched on the internet but could not find answer to my problem. So when i try to assign Excitation Current to an coil i get the message Excitation 'Current1' : Cannot...

I attached a file that shows the free EM action integral and how it can be rewritten. I would like to know how to go from the first line to the second. I have to integrate by parts somehow, and I know surface terms get thrown out, but I do not know how the indices of the gauge fields should be...

How does todays "modern" form of Maxwells equations differ from the original equations Maxwell developed and why? If this should be in the physics section...please move it...

Hi, I had modeled a simple transformer with Maxwell 3D (one closed iron and 2 coils), all seems all right except the output voltage, I have only 300 mV and I must have 12V ! I join the files, if someone can help me ? A strange thing is the StrandedLoss which up to 350 kW ! where's come from...

Hi, I would like to measure the power give from a source to a transformer and measure the power consume by a RL component. I see only voltmeter and amperemeter in circuit editor, it's not possible de put wattmeter ? Or maybe there's another solution for find the power ? Thanks in advance ;)

I have a question here about Maxwell's equations: according to faraday's law at some point in space changing magnetic field with time creates the curl of electric field at that point and according to Ampere's law with Maxwell's correction changing with time electric field or electric current...

I have heard a story from one of my professors that Maxwell had failed the first two questions of his qualifying exam, and as a last chance, they gave him a take-home assignment. Maxwell returned with the Maxwell-Boltzmann distribution of velocities. Can anyone verify also hearing a similar...

Hi, I would like to simulate a standard transformer (2 coils + 1 closed iron) with Maxwell 3D (V15) but I don't find tutorial or example. Maybe someone can explain how can I do ? I want to see the flux in primary and secondary. And I want to put a tension in primary and see the current in...

yo ok progress on the electromagnetic wave front is progressing nicely...finally, but i have stumbled on a area that i need some help with. see below when maxwell took amperes law, he added what's known locally ! as the current term, this was done because he realized that a changing...

yo ! quick question on jc maxwell, got an exam comming up and was wondering see attached these are the equations for free space (vacuum) and i was wondering if these will still hold for simple media such as plain old atmosphere (the breathable kind). following this can simple medium be...

Homework Statement http://i.imgur.com/TqeA1.png Homework Equations The Attempt at a Solution I use right hand rule, I get answer B and A. Not sure how it gets wrong...

Can anyone tell me the basic difference between Maxwell and Gaussian distribution? Thanks in Advance

Hi guys, can you help me with this? I'm supposed to calculate the energy momentum for the classic Maxwell Lagrangian, \mathcal{L}=-\frac{1}{4}F^{\mu\nu}F_{\mu\nu} , where F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu with the well known formula: T^{\sigma\rho}=\frac{\delta\mathcal{L}}{\delta...

Hi, I am trying to do a simulation for the current distribution in a cylindrical conductor wire using MAXWELL 3D. I used eddy current solver and assigned excitation of current 1A at both ends of the round wire. (I set length L=2mm, radius R=1mm) The field plot seems ok, having highest current...

Homework Statement I should derive the Hubble law redshift from Maxwell equations in closed Universe. Homework Equations The metric of closed Universe is ds^2 = dt^2 - a^2(t)\left(d\chi^2 + \sin^2 \chi d\theta^2 + \sin^2 \chi \sin^2 \theta d\phi^2\right). The Hubble law redshift: \frac...

hi is it possible to derive the Beer-Lambert law directly from Maxwell's equations? cause i have to derive it and i have only seen some geometrically motivated derivations but i need a proper one.

Homework Statement Not sure this is the right place for this but here it goes... I am trying to figure out the derivation of the force elongation relationship of the maxwell elements in parallel in order to derive it for the Kelvin Voigt elements in series. I have attached the material that I...

so we have the identity \nabla\times\nabla\phi = 0 and from Maxwell's equations we have \nabla\times \textbf{E} = -\frac{d\textbf{B}}{dt} But we also have that \textbf{E} = -\nabla\phi So the problem I'm having is this -\textbf{E} = \nabla\phi which i substitute into the...

Hello, so I was asked a question in two parts (Peskin & Schroeder problem 2.1). The first part asked me to derive the source-free Maxwell's equations from the action: S=\int{d^4 x \frac{-1}{4}F_{\mu\nu}F^{\mu\nu}} Given that the vector potential itself is the dynamical variable. I derived...

Homework Statement Consider an isotropic medium with constant conductivity \sigma. There is no free charge present, that is, \rho = 0. a)What are the appropriate Maxwell equations for this medium? b)Derive the damped wave equation for the electric field in the medium. Assume Ohm's...

Hello guys, I've been trying to solve Maxwell's Equations in a laser cavity, with length L. However I cannot... I've searched over the net to find a proper solution but I couldn't. I started by taking a field E(x,y,x,t)=E0 e(x,y)e-jw te-jb z. I take the phasor E(x,y,z)=e(x,y)e-jb z and...

Homework Statement I am following along in my book (Laser Fundamentals by Silfvast, pg 14), and I cannot understand how they got from one step to the next. Homework Equations Since it's quite lengthy, I'm going to dive into the middle of it. If you need more background information, let...

always say us Maxwell equations are not covariance under Galilean Transformation They say merely this because of constant speed of light that the result of Maxwell Equations But there arent any excitability prove for Non-Ggalilean invariance of Maxwell equation I Decided try to show...

Maxwell equations are 8. we need them to determine electric and magnetic field. the component of magnetic and electric field are 6. in linear algebra say for solving a system of equation with n free variable, we need n equations to solving it uniquely. here arises a question and that...

in electromagnetic books, we see by the aid of vector calculus, we can reach to wave equation from Maxwell 's equations. is it possible to reach to Maxwell 's equations from wave equations? in the other word, in electromagnetic books we get Maxwell 's equations as phenomenological...

every people know that covariance principle is important in physics. before Lorentz transformations and special relativity, how we can check covariance principle about Maxwell 's equations?