Superposition Definition and 685 Threads

Homework Statement Learning Goal: To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y_1(x,t) = A \sin(k x - \omega t). This function might represent the lateral displacement of a string, a local electric...

There are hundreds, if not thousands, of RF signals all around us from those at VLF frequencies to microwave frequencies and I suspect if you set up a very long random length of wire as an antenna, there would be a resulting induced electrical signal that is the sum (and differences) of all...

Homework Statement Hi everyone. I am trying to prove the superposition principle for linear homogeneous equations, which states that if u(t) and w(t) are solutions to y' + p(t)y = 0, then u(t) + w(t) and k(u(t)) are also solutions for any constant k. The Attempt at a Solution I...

Consider two point sources S1 and S2 which emit waves of the same frequency and amplitude A. The waves start in the same phase, and this phase relation at the sources is maintained throughout time. Consider point P at which r1 is nearly equal to r2. a) Show that the superposition of these...

Homework Statement Can someone please explain to me how to find the voltage across BD in the attached circuit. I can't do these examples. Please help. Homework Equations The Attempt at a Solution When I shorted one source I get the source current as 10.08mA and a voltage drop...

Question Astronauts visiting Planet X have a 2.50m-long string whose mass is 4.60g. They tie the string to a support, stretch it horizontally over a pulley 1.50m away, and hang a 1.70kg mass on the free end. Then the astronauts begin to excite standing waves on the string. Their data show that...

Just wondering what you guys think about the results of the double slit experiment...

Homework Statement Two wave pulses on a string approach one another at the time t = 0, as shown in the figure below, except that pulse 2 is inverted so that it is a downward deflection of the string rather than an upward deflection. Each pulse moves with a speed of 1.0 m/s. Assume that the...

Homework Statement How far from Earth must a space prove be along a line toward the Sun, so that that the Sun's gravitational pull on the probe balances the Earth's pull Homework Equations F=Gm1m2/d^2 The Attempt at a Solution d1=distance from probe to Earth distance from sun to...

If you had an isolated system consisting of two particles both of which were in superposition, would they interact with each other and collapse each other's wave function? Thanks, FRQ

Homework Statement u(x) = \sqrt{\frac{8}{5}}\left(\frac{3}{4}u_{1}(x)-\frac{1}{4}u_{3}(x)\right) Determine the time-dependent expectation value of position of this wave function (the particle is in an infinite potential well between x = 0 and x = a). The Attempt at a Solution I...

Homework Statement Solve for all of the currents using superposition. Homework Equations Remove the one source and solve the problem in two steps. The Attempt at a Solution Ive isolated each source separately but once i get to that point I am completely stumped on what route to take. I know...

Homework Statement I am trying to find the answer to this questions and I am reading ahead of my exams this next January . And I am going through the past questions a. Determine current flowing through 2 ohms resistor using superposition and nortons theorem Please I need a site...

Homework Statement Use superposition to obtain the voltage across each current source. Homework Equations [PLAIN][PLAIN]http://i200.photobucket.com/albums/aa225/earless846/circuit.jpg The Attempt at a Solution I found the partial voltages v1 & v2 due to the 2A current...

Homework Statement Determine v0 for the circuit shown using the superposition principle( circuit diagram is attached to this post) Homework Equations v0= sum of voltages (is it?) The Attempt at a Solution Voltage due to 3A Total resistance of the 10ohm resistor parallel to...

Hi. I am struggling with wave packets. I know wave packets are generated when two or more waves of slightly different frequencies are superposed together. When considering only two or finite number of waves superposed together, the resulted wave shall be still periodic? I mean the "peak" of...

Hi, I'm looking at this wave function: \psi(x,t) = \frac{4}{5}{\psi}_{1} + \frac{3}{5}{\psi}_{2} The functions involved here are the typical eigenfunctions for the ground state and first excited level in an infinitely-deep 1-D square well. Defining A = 4/5.\sqrt{2/a} B =...

Hello! I'm having a bit of a difficulty trying to solve this exercise mostly because of the resistors. So,when short circuiting the voltage source we have the 20ohm in parallel with 40 ohm right?But what about the other resistors are they in parallel or in series with the result 20//40?The...

Homework Statement Consider a thin rod of length L which is pivoted at one end. A uniform density spherical object (whose mass is m and radius is r = 1/6L) is attached to the free end of the rod. The moment of inertia of the rod about an end if I = 1/3 mL^2. The moment of inertia of the...

Apply Superposition to the circuit of Fig (5) to find i3. i3 is above the 100v source flowing upward. I have provided the problem on the attachment. Like the theorem states, I have the 3 different re-drawings with the sources short circuited and removed. I have been surfing for hours...

ok I have this question and I am having some trouble putting it into words. Heres an example. Lets say there are particles X and Y that can be in states A or B. X is in a superposition between state A and state B. Y has a 50% chance of being in state A and a 50% chance of being in state B...

Homework Statement See attachement titled p8.jpg Homework Equations The following equations apply to a cantilevered beam held fixed on the left end: \delta_{max} = -\frac{PL^3}{3EI} \theta = -\frac{PL^2}{2EI} \delta = \frac{P}{6EI}(x^3-3Lx^2) The following equations apply to...

Homework Statement 2. The attempt at a solution i knew how to solve questions one and three..please help me in question number 2...here is what i did... Question 1 (2*pi*x)/(wavelength)=pi/3 where x is the distance between the two waves (5cm) and therefore we get the...

Hi! How can I write the wave function of a particle in an infinite box (in the state n) as a superposition of the eigenstates of the momentum operator? the wave function is: PHIn(x,t) = sqrt(2/a) * Sin(n * PI/a * x) * exp(-i En/h * t) Thanks for your help!

Homework Statement http://img412.imageshack.us/img412/4712/abcww1.jpg Homework Equations Using Compatibility Equation & Prinicipal of Superpositon to find Reaction force at C. Using Principal of Superposition and Maxwell Reciprocal Theorem, to find out Reaction force at C. State...

Solve this equation by superposition approach (undetermined coefficients); pg. 154 in Zill, according to the formula Y = Yc + Yp ---------------------------------------------------- y''' -2y'' -4y' +8y = 6xe^(2x) I got: Yc = C1 e^(-2x) + C2 e^(2x) + C3 xe^(2x) for the complementary...

Please click the image to enlarge it http://img237.imageshack.us/img237/3605/untitlednu9.th.jpg I'm having trouble seeing how this circuit was reduced. Can anyone shed some light on it for me? My question pertains to the second solution in the image. I see that the 12k and 4k...

While calculating field and potential due to a continuous distribution of mass and charge,we use the standard methods of integration.Does it imply the validity of principle of superposition?If it does,then why we do not see it in the case of calculation of energy of the same distribution?

Find the total amount of current flowing through R3 in the circuit below. I mainly have doubts whether the answer given in the book is correct, to me it doesn't seem correct. Heres my attempt anyway. http://img409.imageshack.us/img409/7584/superposition2iu4.png Make VS1 a short. Rt...

1. Using the superposition theorem, calculate the the current in the right-most branch in the following circuit. http://img329.imageshack.us/img329/1190/superpositionmp1.png Attempt at solution. I basically followed the theorem, Both voltage sources in the circuit have the same polarity...

When two waves traveling in opposite direction say in a thread, superpose the shape of the thread becomes flat. Where is the energy stored in the thread now. When a single is travelling, we say energy is stored as potential energy. But here there is no displacement of the thread in the vertical...

Does it, or is that current? (sorta yes or no answer I guess)

Homework Statement A magnetic-field technique for stabilizing a He-Ne laser to 2 parts in 10^10 has been patented. At 632.8 nm, what would be the coherence length of a laser with such frquency stability. Homework Equations Coherence time =1/delta frequency coherence length = c/delta...

Homework Statement Use superposition to find I in the circuit below. http://img249.imageshack.us/img249/5889/chapter4problem15hd1.jpg Homework Equations KCL, KVL, Super-position principle, V = i RThe Attempt at a Solution I turn only one source on at a time and solve for I_1 through I_3...

Here are the three problems I'm having trouble with:

Hi, having major problems with this set homework. The task is to find the current through the 5ohm resistor by means of: Super Position Theorem Nortons Theorem Thevenins Theorem http://img187.imageshack.us/img187/6174/thng7.jpg ANY help will be greatly appreciated. Thanks.

The broadcast antenna of an Am radio station is located at the edge of town. The station owners would like to beam all of the energy into town and none into the countryside, but a single antenna radiates energy equally in all directions. There are two antennas separated by a distance L. Both...

Question about "what the bleep do we know" and superposition of a particle. well it seems that "what the bleep" is somewhat a touchy subject to many people, ill ask my question in a different way then. question on the 2slit experiment: does a single particle actually go through both slits at...

This is just an idea I had to do with shared thoughts that can be found among groups of people. When people share an experience there is bound to be shared thoughts on the experience. Could the fact that similarly configured pulses of neuronal firing in the brain and nervous systems (ie...

I have some difficulty in understanding linear superposition's domain of validity and reading Jackson's 1st chapter.I found the following lines but to confess it out, could not grasp the whole meaning...Please help. "The Maxwell equations in vacuum are linear in the fields E and B.This...

Using superposition, find v_0 in the following circuit. My work so far: v_1\,=\,2\,i_2\,+\,v_{0\,1} v_1\,=\,4\,i_1 v_{0\,1}\,=\,3\,i_3 v_{0\,1}\,=\,6\,i_4 KCL @ v1: 1\,A\,=\,i_1\,+\,i_2 i_2\,=\,i_3\,+\,i_4 Using these six equations, with 6 variables...

I'm considering the superposition of 2 vectors. E_x=E_1cos(wt) E_y=E_2cos(wt+/pi/4) Trying to eliminate t. Its easy when the phase shift is 0 or pi/2 but I'm not sure how to go about it in this case. I can get Ey to be a function of cos(wt)-sin(wt), or cos(wt)sin(wt) just using...

what is superposition? in wikipedia:"In linear algebra, the principle of superposition states that, for a linear system, a linear combination of solutions to the system is also a solution to the same linear system. The superposition principle applies to linear systems of algebraic equations...

step 1 i have a spring with two ends i and j. I fix i and pull j to a displacement and measure the force at i and j called fi and fj step 2 now i fix j and pull i to a displacement and measure the force at i and j called fi and fj principle of superposition says that the total force at...

In exercise i) I had to use the superposition to find the current through R2:removing the voltage source and sticking with the current source,this was my node equation: Eq: v1/1000 + v1/1000 + 0.001=0 Solving for I2 the equation was: V1-0/R2=I2 where I2=-5x10E-4 Removing the current...

Everybody says that if you have two states |0> and |1> then their superposition is a linear combination a|0> + b|1>. But you also have freedom to choose a basis, and you can choose one in which this combination is a basis vector, so in this new basis it becomes just c|1'>, apparently losing the...

I would appreciate any help on this problem: In Fig. 14-18a, a square of edge length .232m is formed by four spheres of masses m1 = .00372 kg, m2 = .00958 kg, m3 = .00408 kg, and m4 = .00835 kg. In unit-vector notation, what is the net gravitational force from them on a central sphere with...

Hi guys, Couldn't figure this question out even after some thinking through. Hope someone can help me here. 2 loudspeakers are placed 1.2m vetrically apart. The point A is the horizontal distance of 1.6m from the top speaker. Both speakers are operating in phase with a steady freq of 400Hz...

this principle does apply to electric fields doesn't it? If I have two (different) charges in different positions, and the question asks for the electric field (mag and direction) at another point, I can find them separately and then add them together (using vectors of course) can't I?

I'm having problems with the following problem: A rock concert is being held in an open field. Two loudspeakers are separated by 9.00 m. As an aid in arranging the seating, a test is conducted in which both speakers vibrate in phase and produce an 80.0 Hz bass tone simultaneously. The speed...