Coupled Definition and 360 Threads

Are there any textbooks on something like this, a self consistent treatment of classical electromagnetism (relavistic is fine too) where the field equations are solved alongside with the matter fields.

Hi everyone, new member zeroseven here. First, I want to say that it's great to have a forum like this! Looking forward to participating in the discussion. Anyway, I need to solve a pair of differential equations for an initial value problem, but am not sure if an analytical solution exists. I...

Does anyone know any site with a good set of notes on coupled oscillations?

Homework Statement For the attached emitter follower circuit, calculate the maximum ac power (Sinusoidal signal) delivered to an attached load. I have already calculated Rout of the circuit as 19.2Ω, and the voltage at the emitter at operating point (no input signal) as 10.7V (I know...

hello, i am deriving an equation for designing an inductor in a coupled RLC circuit. is there an equation for calculating inductor value by knowing the input and output voltages & output current of the RLC circuit ? i have tried KVL and KCL equations but in vain. please help thank you

Hi everyone, I am currently dealing with a nonlinear system of coupled equations. In fact I had performed a perturbation approach for this system which is highly nonlinear. Thanks to first step of the perturbative approach I could reach eigenvalues in the "linear case". Right now I want to...

Homework Statement Consider a light elastic string of unstretched length ##4a_o##, stretched horizontally on a smooth surface between two fixed points a distance ##4a## apart. (##a > a_o)##. Three particles of mass m are attached so as to divide the string into four equal sections. Number...

Hi, I didn't understand the exercise so I didn't do it and my teacher doesn't give the details of the solutions. If somewone can help me and explain me the steps.. it'd be great ! Three block of mass m=0.13kg are connected with three springs of constant k1 k2 k3 and Two of the normal...

Homework Statement I need to simulate a AND/NAND gate with Emitter Coupled Logic. As I'm sure that most of you know, ECL is mostly used to make OR/NOR gates, so finding out how to make a NAND/AND gate is not as easy as it sounds. Homework Equations The Attempt at a Solution I...

Homework Statement http://i.imgur.com/zmtJ64Z.jpgHomework Equations B is a column vector {{0},{0},{1}} E is a column vector {{1},{0},{0}} v(t) is also a column vector {{v_1},{v_2},{v_3}} The Attempt at a Solution I have calculated v(t) x B to get (v_2,-v_1,0) and I made a matrix, | 0 1 0|...

Hello all, I've been interested in nuclear power and how it applies to space propulsion for awhile now. I've come across a term though that I don't quite understand. What is an optically coupled reactor? In context, it says that the design "separates the power conversion system from the...

Homework Statement A system consists of two masses. The system has normal modes of frequency wa and wb. Suppose one of the masses is displaced. How long will it take for energy to be transferred to the other mass and then back to the first mass. this question is a review question for my...

While studying the derivation of the normal modes of oscillation of a liquid sphere in the paper "Nonradial oscillations of stars" by Pekeris (1938), which can be found here, on page 193 and 194 two coupled second order differential equations in two variables are merged into one fourth order...

My teacher told me plan and design about 4 labs, okay the thing is I'm not sure about the layout of P/D for physics labs. I know there has to be expected results, I'm confused I don't know what to put there. My teacher gave me a lab manual to try and guide me okay, in the book at the end...

Hi,I'd really appreciate any help on this as I've spent many many hours trying to get my head around it. I am simulating the vaporization of a droplet in hot air and I have two equations to use: m_lc_l\frac{dT_l}{dt} = \widetilde{h}A_0(T_\infty - T_l) + \dot{m}_l(h_v-h_l) \dot{m_l} = -\frac{\pi...

Hello! I am having an issue with getting any graphs on inductance or induced voltage. In the attached circuit: What I have is a 28Vac source w/ 400hz and 2 coils (R=18.6ohm each) that are connected with a common. In the model: I have a core in the center that will be able to move up...

Homework Statement \dot{ω_{1}} = λω_{2} +μ \dot{ω_{2}} = -λω_{1} Homework Equations λ and μ are real, positive constants ω_{1}(0) ≠ 0 ω_{2}(0) ≠ 0 The Attempt at a Solution I know that the general solution will be in the form ω1(t) = A sin ωt + B cos ωt + C ω2(t) = D sin...

I have to derive equations of motion from Lagrangian and stumbled upon the following system of equations (constants are simplified, that information is unneeded) \begin{cases} \ddot{x}-A\dot{y}+Bx=0 \\ \ddot{y}+A\dot{x}+Dy=0 \end{cases} This is an extension of a simpler problem where B=D...

Homework Statement (Sorry, I don't know how to use latex) Solve the TDSE for a spin half nucleus in a B-field where B_z = B0, B_y= B1 cos(ωt) and B_x = B1 sin(ωt). Use vector and matrix representation. You will get coupled differential equations for a and b, look for solutions of the form a =...

I'm new, hi all. I have two coupled equations, one of which is continuity. Basically, my problem comes down to the following system: (1) u=f(v) (similarly, v=g(u). Here, u and v are the components of a vector field, ie u=u(x,y) and v=v(x,y). (2) Continuity: \nabla \cdot \textbf{u} = 0 or...

Hello everyone, I was wondering how could you determine the period of the motion of two or more coupled oscillators. For example, two oscillators have the state variable equations: x_1=A_1\cos{(\omega_1t+\phi_1)}+A_2\cos{(\omega_2t+\phi_2)}...

http://www.google.pt/imgres?q=pendulo+acoplados+resson%C3%A2ncia&um=1&hl=pt-PT&sa=X&biw=1280&bih=656&tbm=isch&tbnid=BSwiWnZmGwlLGM:&imgrefurl=http://www.oficinadaciencia.com/Produtos/Default.aspx%3Fid%3D6493&docid=n05kCljLeoXYCM&imgurl=http://www.oficinadaciencia.com/imgs/ReadImage.aspx%253FpId%2...

Coupled physical pendulums (URGENT) Imagine that you have coupled physical pendulums like this (see image below). mass is in the inferior part of the pendulum.* Now we let the right pendulum swing without initial speed = 0 with a certain amplitude. As we know, the amplitude of the right...

Someone know how to uncouple this system of pde? Δu_{1}(x) + a u_{1}(x) + b u_{2}(x) =f(x) Δu_{2}(x) + c u_{1}(x) + d u_{2}(x) =g(x) a,b,c,d are constant. I would like to find a solution in one, two, three dimension, possibily in terms of Green function...someone could help me, please?

Hi How do you determine the forces in a coupled oscillating systems? (check the attachment for coupled oscillating system) I do get the forces right but I make mistakes with the signs.

I've attached the .pdf from which I have questions. After it says "Take the square of the numerator" halfway down the page, there is an equation that lists vector components with hats and arrows at the same time, and the arrow on other vectors. Can someone help explain the difference to me...

Hi, I have a relatively small system. It takes 10 minutes to perform a CCSDT calculation. I know scaling is notoriously bad, but does anyone have a rough idea of how long a CCSDTQ calculation would take on the same system? Are we talking days or months? Thomas

All, As part of my research I came up with a boundary value problem where I need to solve the following system of coupled PDE: 1- a1 * f,xx + a2 * f,yy + a3 * g,xx + a4 * g,yy - a5 * f - a6 * g = 0 2- b1 * f,xx + b2 * f,yy + b3 * g,xx + b4 * g,yy - b5 * f - b6 * g = 0 Where, ai's...

My question is about generalization of most simple problem in semi-classical quantum optics. Composite system of two-level systems. single system's diagram: http://ars.sciencedirect.com/content/image/1-s2.0-S0030401807009777-gr1.jpg where atomic frequency: wab=wa - wa; probing frequency...

Hello, In my study i came across to solve the analytical solution for coupled equation y(x,t) and z(x,t).The equations contains" f " function which is a function of the first variable exponentially. The first equation is : ∂y/∂t=∂^2(y)/∂x^2- 2*f(y)*z; The second equation ...

Hello every one, In my physics problem, i end up having two coupled second-order nonlinear differential equations where the coupling terms include, the variable, the first derivatives, and also a second derivative coupling. I appreciate any help on how to handle this system before setting it...

How does one go about plotting the effects of the frequency of the driving force vs the amplitude of the masses in a system such as the one pictured below? Assume that I have already figured out what my two angular frequencies are, and the amplitues under driven force (the actually equations...

Attached is the formula for the equation of motion for a system of coupled oscillators. Could someone please tell me what the variables and indices refer to here? Thanks! :)

Hi all, I have a system of 3 coupled linear PDEs which can be expressed in matrix form as: \left( \begin{array}{ccc} \alpha_1 \partial_{\theta} & \alpha_2 & \alpha_3 \\ \beta_1 \partial_r & \beta_2 & \beta_3 \\ 0 & \gamma_2 \partial_{\theta} & 1 + \gamma_3 \partial_r \\ \end{array}...

I am tasked to answer the following question on the subject of coupled pendulums: QUESTION: The Antisymmetric and symmetric normal modes can be superposed to obtain new solutions. Can ANY solutions be written as a superposition of these two modes? Justify your answer. Hint: Is a solution...

Homework Statement http://img849.imageshack.us/img849/6315/63685525.jpg The Attempt at a Solution (a) I think since i=dq/dt we will have: L_1 \frac{d^2q_1}{dt^2} + R_1 \frac{dq_1}{dt}+ \frac{q_1}{c_1}+ \left( \frac{q_1-q_2}{C} \right) = 0 L_2 \frac{d^2q_2}{dt^2}+ R_2 \frac{dq_2}{dt} +...

Hey, I need your help to solve the following set of coupled differential equations numerically. dn(t,z)/dt=I^5(t,z)+I(t,z)*n(t,z) dI(t,z)/dz=I^5(t,z)-α(n(t,z))*I(t,z) where I(t,0)=I0*exp(-4ln2(t/Δt)^2) and n(t,0)=0 and n(-certrain time,z)=0. Some constant parameters I did not show...

Homework Statement I need to transform the Hamiltonian of a coupled Harmonic Oscillator into the sum of two decoupled Hamiltonians (non-interacting oscillators). Homework Equations H = H1 + H2 + qxy, where H1=0.5*m*omega^2*x^2+0.5m^-1P_x^2 and H2=0.5*m*omega^2*y^2+0.5m^-1P_y^2, and q is...

1. Just going through some material about parametric amplifiers but I have difficulties to see where the solution comes in given text. In equations it is assumed undepleted pump wave and in equations there is loss caused by linear absorption for signal and idler. 2. p.s. There is a...

3. Two train cars are to be coupled on the tracks. One of the cars, say A is initially at rest. The other car, say B is traveling at a speed v toward A: Car B is empty, whilst car A is full of pig iron and has a mass of 102mB: After coupling, the two cars travel a distance of 20 meters before...

Homework Statement Just click the link, The image is huge, so I did not use IMG tags. http://i.imgur.com/zWNRf.jpg Homework Equations Let's see, The rotational kinetic energy of a body is given as K = \frac{1}{2}Iω^{2} for a point mass, I = mr^{2} for a rigid rod rotating at it's end...

I have been going through the ac signals coupled by a capacitor to a dc network.. Using superposition principle.. for solution it was shown that both bulk resistance and dynamic resistances for the diodes used are required... Why is this happening.. Since to what i know bulk resistance is...

Homework Statement Equations: \frac{dv_{1}}{dt} = -v_{1} - \frac{2v_{2}}{3} + 1 + \frac{t}{3} \frac{dv_{2}}{dt} = -2v_{2} - 1 - 2t Initial Conditions: v_{1}(0) = 6 v_{2}(0) = -6 2. The attempt at a solution Defined the following: v(t) = [ v_{1}(t) v_{2}(t) ] \frac{dv(t)}{dt} = [...

Hi eveyone. I really need your help for this project that I will be undertaking soon. But there is much I still don't understand and my lecturers aren't around to help. The setup that I'm envisioning is like this-- Source(230V 50hz) connects to signal generator, signal generator to 1st RLC...

[FONT=arial]We've been asked to solve this system of equations [FONT=arial]dW/dt = = αW−βV [FONT=arial]dV dt = −γV+δW [FONT=arial]by proposing that [FONT=arial]W (t) = A sin(ωt) + B cos(ωt) [FONT=arial]V (t) = C sin(ωt) + D cos(ωt). [FONT=arial]so I've differentiated both W(t) and V(t) to...

Hi Consider a small system A which is described by quantum mechanics. A large system B is surrounding A and this large system is described by classical physics. What kind of interactions has the system B to the small qm system? Compared to B is A very small so I guess one can neglect...

Hi, I am trying to simplify the following equations to get a relationship involving just \eta : 1) \nabla^2 \phi(x,z,t) = 0 for x\in [-\infty,\infty] and z\in [-\infty,0] , t \in [0,\infty] subject to the boundary conditions 2) \phi_t+g \eta(x,t) = f(x,z,t) at z=0 3)...

Consider a system of coupled differential equations x'=5x-y where x(0) = 6 y'=-x+5y where y(0)=-4 a) Show that the parametrised curve (x,y)= r(t)=(exp(4t) + 5exp(6t), exp(4t) - 5exp(6t)) How would you go about showing this?

What is the difference between Multi-Core Processors and Coupled Single-Core Processors? Are they the same thing?

Homework Statement A system is connected as follows, going vertically downwards: (ceiling)-(spring with constant k)-(mass 1)- spring with constant k)-(mass 2) Let x be the displacement from the equilibrium position of mass 1, and let y be the displacement from the equilibrium position of...