Superposition Definition and 685 Threads

Homework Statement Hi all I have been struggling to find the right ans for the I(R1) in this circuit. First i consider only the voltage source by opening the current source. As such i find that I'(R1) = (4-0.7)/1K = 3.3mA Secondly i consider the current source by shorting the...

If 2 particles have wave functions w1 and w2, in which W = w1 + w2 is a superposition of the wave functions, then would the probability density of W correspond to the probability of finding both particles at the same position within some interval of space?

Hi All, I am trying to remember the logical argument that leads from Heisenberg's uncertainty principle to the existence of quantum superposition states. Here's my sketchy version: 1) postulate of Quantization leads to non-commuting operators 2) This leads to Heisenberg Unc. Principle...

Homework Statement A uniform tube, 60.0cm long, stands vertically with its lower end dipping into water. When the length above water is 14.8cm, and again when it is 48.0cm. the tube resounds to a vibrating fork of frequency 512Hz. Find the lowest frequency to which the tube will resound when...

Homework Statement solve using undetermined coeffecients y"+3y=-48x^2e^(3x) Homework Equations x^2e^3x gives a Yp=(Ax^2+Bx+C)e^3x The Attempt at a Solution I can get yc easily which is yc=cos(sqrt(3x))+sin(sqrt(3x)) However, I'm not sure as to how to set it up so that...

Hey guys, I'm reading the E&M book from the berkeley physics courses in preparation for my second round of E&M as a junior in undergrad. And they mention some stuff I remember from my intro to E&M class too...namely, that we can use superposition because both gravity and electromagnetism follow...

Since there have now been directly observed superpositions in laboratory experiments, meaning of course that superposition is not an interpretative issue but an observed aspect of nature, does this have any consequences for certain interpretations of QM? I particurlarly had in mind hidden...

I am wondering about the order of operations concerning the Lorentz transformation of fields and the superposition of fields. I was given a problem: Two positively charged electrons start at the origin and then travel along the x-axis at a constant speed v in opposite directions. Calculate...

Homework Statement Two displacement waves with the same period T = 3.0 s are described mathematically by: y1 = (10.0 m) cos[2πt/T + π] y2 = (9.0 m) cos[2πt/T + 2π] What is the resultant displacement at time t = 6.0 s? The Attempt at a Solution I tried adding up y1 + y2 = 19...

Hi guys, Quick question. Just started QM in class, and we discussed the double slit experiment. I am just a bit confused here. From what I understand, if just one electron is shot at the slits, it enters a superposition of states based on probabilities, and interferes with itself, resulting...

Homework Statement given 2 waves y1=Ysin(kx-wt): y2=Ysin(kx+wt). derive expression of resultant displacement and expression of x(for resultant) where displacement always zero Homework Equations y=y1+y2 sinA+sinB=2sin((A+B)/2)cos((A-B)/2) The Attempt at a Solution i solved first...

Gauss's Law and Superposition of Fields (edited again, something else wrong) Homework Statement Right. The shape itself has charge Q, so it has charge density \frac{Q}{\frac{4}{3} \pi R^3 - \frac{4}{3} \pi (\frac{R}{2})^3} = \frac{6Q}{7\pi R^3} Let's call this \rho. If it were filled in...

This is not a homework assignment but a question from a past exam paper as i am studying for an exam on monday. I am one of only 3 out of 150 who have never done physics before this, the first year of an electronics degree. I would really appreciate any help. 1) A charge q1=1e-4C is in a...

Homework Statement i found this circuit somewhere here in this forum https://www.physicsforums.com/attachment.php?attachmentid=10935&d=1190194219it asks to find vo Homework Equations The Attempt at a Solution i found that vo is 6V using kirchhof's law, the current source i transformed it to...

It'd be great if you could help me clarify a few things in my head. Firstly I've got written in my notes "quantum mechanics forbids spontaneous transitions from one energy level to another because energy eigenfunctions are time independent". However this seems a bit of a circular...

This was a 2 part problem... PART A: calculate moment of inertia of a uniform sphere of mass M and radius R by using the information provided: the moment of inertia of a thin spherical shell at radius R with mass m spinning about its axis is 2/3mR2. I did this by integrating over thin...

Homework Statement What is the equation for the superposition of 2 waves? Homework Equations The Attempt at a Solution Displacement of the first wave is D1 = Asin(k1x - ω1t) Displacement of second wave is D2= Asin(k2x - ω2t) Add together: D1 + D2 = 2Acos[(k1-k2)x/2 - (ω1 - ω2)t/2]*sin[(k1 +...

I always thought superposition principle is a consequence of the linearity of Schrodinger's equation, but it's not, instead it's a fundamental principle in QM according to some references I read recently. However I did not find any detailed explanation about this, could someone kindly explain to...

If I'm going to apply the superposition principle and say something like V = V_1 + V_2, I need to make sure that my V_1 and V_2 are established with a common zero point for the potential, right? So, for example, one of them can't have been determined taking the zero point of the potential to be...

Am I understanding superposition correctly? Is it equivalent to "all-potential"? In the double-slit experiment, when a single particle is "fired", it will pass through the slits as a wave but hit the receiving end (screen) as a particle. Each particle will clump on the screen, but after many...

Homework Statement Two charges, +q and -q, are located in the x-y plane at points (0,+d/2) and (0,-d/2), respectively. Calculate the magnitude of the electric field at point P with the superposition principle. Data: q=37.0 nanoCoulombs, d=4.60mm and P at x=92.0mm. Homework Equations E...

I want a clarification in the idea of superposition principle.Perhaps,I should rather say that the distinction of superposition principle in QM and in classical physics. Few weeks back,I was spending time with Gottfried's book. He explains the novelty of superposition principle with the help...

We all know that any superposition of two solutions of the shrodinger equation is still a solution . but what about the case when Psi1 is a solution related to a potential V1 and Psi2 is a solution related to a potential V2 .? how these solutions are related to the solution of the equation...

Hi I was just wondering if someone could explain superposition in QM? Is it to get the probability of finding a particle in a certain state of a wavefunction that would have both positive and negative probabilities?

Homework Statement I have a problem that I cannot solve or find the right equation for. First off, I am told that there is a simple sinusoidal wave form that has a sound generator playing a frequency of 262 hz. The speed of sound is 343 m/s. I am asked to calculate the angular frequency, the...

2 Cylinders each of length, L, are separated by a distance d. Each has a radius, a. Use the principle of superposition to find the total electric field at a distance, r, from the 1st cylinder. What I know so far: For One cylinder Applying gauss law, i have E(2(\pi)(r)(L) = charge enclosed/...

Homework Statement A 6.70 kg object hangs in equilibrium from a string with a total length of L = 5.30 m and a linear mass density of µ = 0.00100 kg/m. The string is wrapped around two light frictionless pulleys that are separated by a distance of d = 2.00 m. (visual is attached) The tension...

Homework Statement A sound wave with intensity 4 mW/m2 interferes destructively with a sound wave that has an intensity of 10 mW/m2. What is the intensity of the superposition of the two? Homework Equations sqrt of both values The Attempt at a Solution i believe that taking the...

The mechanism by which light diffracts through a two-slit experiment is alledgedly due to the superposition of a single photon at the two-slit interface, causing the photon to either constructively or destructively interfere with itself. If this is the case, then can you please explain the...

hi could someone please verify that my calculated probability for superposition of states is correct (i derived it myself from a simpler equation) where \Psi=c1\psi1 e^{-iE1t}+c2\psi2 e^{-iE2t} and \psi_i, c_i \in \mathbb{R}...

say we had two states \psi1 and \psi2 and i want to model the superposition of the two states \psi=c1\psi1+c2\psi2. how do i find c1 and c2? I've been trying to do c1=\int\psi \psi1 r^2dr over the limits 0 and infinity but i don't seem to be getting anywhere. does anyone have any ideashow i...

Homework Statement Two waves are produced on a string with length of 1m. Wavelength of one is .5m Wavelength of the other is .2m. Amplitude and velocity are the same. Show that 2Asin(7pi(x + vt)) cos(3pi(x + vt)). At t=0 what locations are the max/min displacement at? Homework...

Just found this forum and found some great help here so far just reading some posts. But I am stuck on a question in my homework. I am asking you to help check my work and make sure I am going in the right direction. I missed my lecture due to illness and have to figure this out on my own. Thank...

I think I understand how superposition (of the electric field) applies for when I have two (or more) charges. BUT, If I have only one charge, but two regions of dielectric \epsilon_a and \epsilon_b, can I superimpose the solutions for the charge Q in just \epsilon_a with the solution of Q in...

Homework Statement ^^^^ = resistor = 10 ohm <> = 3*Vab Dependent voltage. (the voltage equals 3 times Vab) 0 = voltage source 4 v (inderpendant) o = Inderpendant Current source 2 A |--^^^^---<>---------a + | + + - | 0 o Vab | -...

Homework Statement Ok, here's the problem. It deals with the superposition of electric fields from uniformly charged shapes: A uniformly charged infinite plane is located at z = 0, with a surface density of charge σ. A uniformly charged spherical shell with the same surface density is located...

Hello, I am brand new to this stuff and am trying to get my head around it all. I've spent considerable time trying to understand this from Landau's book on the subject (chapter 1 of course). I bet I'd get more answers by being more brief but I always find that asking the problem carefully...

I am going to crack the quantum mechanics in my free time. :) correct me if i am wrong. from study. A photon can go both paths in an interferometer. So what if i put another Interferometer on the upper path, and another interferometer on the lower path. Will the photon split again? So if...

Hi...if you could spare a minute of your time? I've had the novel idea to explain superpostion.Is it possible that it vibrates at faster than the speed of light or near the speed of light and is therefore essentially (there before it has left it's original position?) Therefore in two places...

Please solve this problem using Superpotion theorem Homework Statement ‐ Calculate the voltage, current & power through Resistor R9. ‐ Test & Simulation results by using superposition theorem by using ECADtool. Homework Equations The Attempt at a Solution

I'm solving by using superposition, I would like to ask that my solution is correct or not. By the way, the question is "Find v0" http://www.wisheyebio.com/uploads/Picture1.png

If the electron is in a superposition in such a way that there is no angular momentum about the nucleus, then classicaly the charge of the electron would be zero from inside the orbit correct? If the charge was changing anywhere there would be angular momentum.

Homework Statement What is the thinnest film of MgF2 (n=1.21) on glass that produces a strong reflection for the light with a wavelength of 531 nm? Homework Equations Open-Closed Standing wave Fn= (nv/4L) v = Wave Length * F The Attempt at a Solution Basically, I tried to...

Homework Statement Here it is: a particle in 1-d infinite potential well starts in state \Psi(x,0) = A Sin^{3}(\pi*x/a): 0\leqx\leqa. Express \Psi(x,0) as a superposition in the basis of the solutions of the time independent schrodinger eq for this system, \phi_{n}(x) = (2/a)^{1/2}...

If according to quantum theory electrons are in superposition until their waveforms collapse by the observer observing them, does this mean that there are more than one image on a CRT such as a TV or PC screen when nobody is looking at it?

Homework Statement A steel tube with a 32mm outer diameter and a 4mm thickness is placed in a vice and is adjusted so that the jaws tough the ends of the tube without exerting any pressure on them. The two forces shown are then applied to the tube. After these forces are applied, the vice is...

Homework Statement Two spheres of mass m and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass m4 is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What is M in terms of m? (b) If we...

Can someone link me some sort of article or journal that lays out the general process of preparing a mixed state of let's say an electron. I was curious as to how exactly you could know it is in one in the first place.

Hello, I am a first time poster and this post will be long, but I wanted to make clear my understanding of superposition so that you can all correct me. Thanks for your patience/interest. I am not a physicist but a critical theorist working with Bohr's complementarity. I thought I...

this problem relates to finding the on axis field of two coaxial coils of the same radius when they have their currents in the same/opposite directions. the field from one coil is B_z=\frac{\mu_0}{2} I R^2 \frac{R^2}{(z^2+R^2)^{3/2}} now the field from a coil looks like that of a dipole...