Superposition Definition and 685 Threads

Homework Statement Two co-axial, parallel, circular wires of radius R each carrying current I are placed a distance 2d apart. Find an expression for magnetic field B on the axis at distance e from the midpoint between the two loops up to and including terms of 0(e3). Homework Equations...

The problem: Suppose we know that a hydrogen atom is in equal superposition of 1s, 2s, and 2p states. a) Write down the complete functional form for this state. b) What is the expectation value of energy in this state? c) What is the most probable value of L^2 operator? I don't want the...

Homework Statement Four charges are placed on the corners of a rectangle. What is the resultant force on the positive charge (a = 1.5 m, b = 0.5 m, q = 1.1 × 10-9C)? (see attached drawing) Homework Equations Im having problems summing the forces using superposition The Attempt at a...

Hi, I need some help with some circuit analysis. http://img208.imageshack.us/img208/866/circuitj.png Sorry for the shoddy picture Problem I need to calculate the voltage between the point P and GND. So i know that i have to replace the current source with and open circuit like such...

Homework Statement Ultrasound pulses of with a frequency of 1.000 MHz are transmitted into water, where the speed of sound is 1500m/s . The spatial length of each pulse is 12 mm. a) How many complete cycles are in each pulse? b) What is the lower bound of the range of frequencies must be...

Hey all! Now I'm working on wireless communication, not a physician. In many courses in ECE, we learn about principle of superposition of radio waves. But I have a stupid question which has been considered no wonder so far. There are two radio senders(S1,S2) and one receiver(R). Let's...

Homework Statement http://i615.photobucket.com/albums/tt237/chaz0426/Superpositionproblem.jpg Homework Equations The Attempt at a Solution I know you have to analyze the circuit by turning off each independent current/voltage source and I've done several practice problems in my...

Homework Statement A square of edge length 19.0 cm is formed by four spheres of masses m1 = 5.10 g, m2 = 3.00 g, m3 = 1.20 g, and m4 = 5.10 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 3.00 g? Homework Equations...

The Hamiltonian for a spin 1/2 particle in 2 or more magnetic fields is the sum of its Hamiltonians for each field separately. For instance if I break a magnetic field into components in some coordinate system then the full Hamiltonian is the sum of the separate Hamiltonians for each co-ordinate...

Hello, 've been progressing through my self-studying of the Schrodinger Equation in both its time-dependent and independent forms, and I have come across an unknown term. Super Position ( in my book it's translated in greek literally superposition = υπέρθεση) My guess so far is that a...

Homework Statement http://photos-e.ak.fbcdn.net/hphotos-ak-snc1/hs031.snc1/2658_1060058793594_1589658877_146788_3259033_n.jpg Homework Equations The Attempt at a Solution So I know that I should use the superposition principle, and treat it as 2 superimposed spheres of opposite...

Hi, I'm not after much help here. I already have an answer, but I want to make sure that I haven't made any stupid mistakes and that I understand the question. I also have a query about the second part of the question. Homework Statement What is the probability density of the...

Homework Statement hello Everyone, I've attached the Circuit to this post. We are suppose to solve it using superposition. we are suppose to find the current through the 9 ohm resistor. Homework Equations Some relevant equations I thought were the basic ones to solve circuits, for example...

Homework Statement A very thin oil film(n=1.25) floats on water(n=1.33). What is the thinnest film that produces a strong reflection for visible light with a wavelength of 700nm? Homework Equations \lambda=(2nd)/(m-0.5) d=(m-0.5)*(\lambda/2n) thinnest film has m=1 The Attempt at a...

Homework Statement Consider a particle in a potential ; V(x)=0\ for\ 0<=x<=L and V(x)=\infty\ otherwise . Its wave function is a linear superposition of the lowest two stationary states and given by \psi(x,t)=\frac{1}{2}*(\sqrt{3}...

I am having a hard time grasping this concept. More specifically, I am having a hard time finding the net displacement of two waves when they are overlapping. My book describes the net displacement of two waves as the point-by-point summation of the individual waves. the bold statement is where...

So here has been a nagging question in the back of my mind since freshman electromagnetism. I haven't taken a 400 level Electrodynamics course yet so I think I have more to learn. But I'll ask the question anyway. At the end of my E&M course, my professor derived a wave equation from...

Figure on top: P_{1}= (1/16)W, P_{2}=1W, P_{3}= 16W, and I want to calculate how the intensity varies with \theta y(r,t) = y_{2}(r,t)[1 + 4e^{i(\phi_{3} - \phi_{2} + kdsin \theta} + \frac{1}{4} e^{i(\phi_{1} - \phi_{2} - kd sin \theta)}] I understand how to proceed here, I just want to...

Homework Statement There are three point particles in fixed positions in an xy plane. Particle A lies at the origin and particle B lies 150 degrees from positive A (reference is positive x axis). The distance between Pa and Pb is .5m. The mass of Pa is 6.00g and the mass of Pb is 12.0g. The...

Homework Statement y''+2y'+y = 4t^2 - 3 + (e^-t)/t of course i evaluated the general soltuion to be c1e^-1t + c2te^-1t but now how do you do the right part? i tried y=At^2+Bt+c+1/(Dt+E)*e^-t as a solution but after differentiating it twice and putting it into the eqaution i got...

What exactly are the philosophical implications of quantum ‘superposition’? If an atom can both be in a ‘yes’ and ‘no’ configuration, is dualism a "scientifically proven" illusion? Is it a self imposed reality? What about quantum decoherance? If it is impossible, fundamentally impossible to...

I want to superpose two laser beams to create the beat frequency. I design the system to be like this . Two laser beams come from A and B meet at the center of the PBS, so that two laser beams going out to C and D. I tune the laser beams A and B such that the laser output at C and D...

I want to superpose two laser beams to create the beat frequency. I design the system to be like this . Two laser beams come from A and B meet at the center of the PBS, so that two laser beams going out to C and D. I tune the laser beams A and B such that the laser output at C and D...

I think this is a basic question: If a state is in a superposition of energy eigen states of the harmonic oscillator, what will a single measurement yield? Will it be <H>?

I am having trouble understanding the subtleties of this topic, which we've just covered in my QM course. I guess, if I understand correctly, that the superposition of eigenstates is not necessary an eigenstate itself, unless the states are degenerate. I'm not sure if I really understand why...

I ran into this problem while working on superposition and interference of waves...its bugging the crap out of me...mind hasn't been working well lately... A horizontal line intersects a vertical line to form a quadrant with the intersection being the origin. There are 2 vectors, r1 and r2...

Hi guys, I lurk here often for general advice, but now I need help with a specific concept. Ok, so I started a classical and quantum waves class this semester. We are beginning with classical waves and using Vibrations and Waves by A P French as the text. So in the second chapter he discusses...

Hey everyone, I've just stumbled across this forum on Google while trying to find something to help me understand a question. I've just started studying physics at AS level at sixth form, and I've been given this piece of homework, with the teacher not explaining it too well, so, I'm stuck...

I cannot see how the two can be mutually inclusive. If you super impose particles with potential energies that fall off as 1/r that are homogeneously distributed through space then take the gradient of them, I hardly believe that they will result in the exactly the same thing than if you take...

I was looking to an approach for this problem below... http://img389.imageshack.us/img389/9387/screenshot003yw2.png

the net electric field due to a collection of point charges is trivial to calculate because it is simply the superposition of the fields of the individual charges. but what if one of the charges is moving at relativistic speed and so its electric field is compressed. does superposition hold for...

Homework Statement Three charges are arranged as shown in the figure. Figure (Attached Below Could not insert the image, wouldn't work for me) Find the magnitude of the electrostatic force on the charge at the origin. Answer in units of nN. What is the angle theta betwen the...

I was working on this circuit. http://img404.imageshack.us/img404/3537/imptm6.jpg The problem asks to find the current through the R2 branch... Heres my approach and questions... Start from the opposite end of the circuit...combine the 2 parallel resistors R2 and R3...the V2 goes to...

Homework Statement I have 1.805cos(2pi / 12.165x) +3.125 as the function of tidal data. However I need to use another function, superimpose, to more accurately graph the data for the tides. And yeah I'm pretty lost... Does the next function have to be something to do wit the moon and its...

Homework Statement consider the state (\frac{1}{2}, \frac{1}{2}, \frac{1}{\sqrt{2}}) in L_z basis. If L_x^2 is measured and the result of 0 is obtained, find the final state after the measurement. How probable is this result? The Attempt at a Solution I'm not sure if the state is...

What is the difference between a mixed state and a superposition?

I have two questions from the Superposition unit that I don't get it. I'd really any help on these as I have my physics exam on monday! Thanks for any help! Homework Statement A steel wire is used to stretch a spring. An oscillating magnetic field drives the steel wire back and forth. A...

Homework Statement Find I in the circuit using the superposition principle Homework Equations superposition: I = i_1 + i_2 + i_3 The Attempt at a Solution for i_1 we neglect the 12V and the 4A sources: (8 + 2 + 6)i_1 - 16 = 0 i_1 = 1A for i_2 we neglect the 16V and the 4A sources: (8 + 2 +...

Hi, I am trying to determine the validity of a formula I came across... I have not seen it anywhere else and I can't be sure wether it's valid or not... Consider a number of sound pointsources positioned on a line. The soundwaves coming from each sound source are all in phase (at time t =...

Homework Statement Hi everyone, This is my first time posting, and I really need some help. I'm doing a project on Schrodinger's cat, concentrating on superposition and the linearity of operators. I have this equation: |\psi\rangle = {3\over 5} i |A\rangle + {4\over 5} |B\rangle but I...

Homework Statement Apply the principle of superposition to a beam to calculate or show beam deflection. Homework Equations Maximum Deflection. (WL^3) / (48EI) Equation for possition two, when possition two is 3/4 or 1/4 of the total beam lengh (Cant figure out the above)...

Homework Statement Apply the principle of superposition to a beam to calculate or show beam deflection. Homework Equations Maximum Deflection. (WL^3) / (48EI) Equation for possition two, when possition two is 3/4 or 1/4 of the total beam lengh (Cant figure out the above)...

First off: Sorry. I'm a Norwegian girl, so my English may not be of very good quality. Now that's said... I have this problem to solve. Only thing is - I don't have a clue how! I'm no good at physics, but unfortunately I have to have this class. Anyway. My problem is this: Task...

I understand that this concept is about 2 (or more) waves meeting in constructive (when waves are added to form larger amplitude wave) or destructive (when waves are subtracted to form smaller amplitude waves) inteference but I don't really understand what path difference is about? I've read...

Homework Statement We're learning about superposition in class right now and I'm having some trouble visualizing how to make simplifications using series/parallel connections. I attached the picture of the circuit and we're being asked to solve for the voltages and currents through the...

Homework Statement two electric field vectors- E1= E0 cos (kz-wt) i(carat) and E2=E0 cos (kz+wt) i(carat) . what is the magnetic field vector corresponding to the the superposition of these 2 waves? Homework Equations The Attempt at a Solution E=E1 + E2 = E0 [2cos{(...

Never mind, did superposition incorrectly. Homework Statement http://img258.imageshack.us/img258/9206/jesus2gn2.th.png Find Vload using superposition and thevenin's equivalent Homework Equations The Attempt at a Solution Well for network on the left of Rload, I found Vth...

1. Three charges are placed at the corners of a rectangle (one charge of -3.3e-6 C is placed on the bottom left hand corner, one charge of 2.7e-6 C on the upper right hand corner, and one charge of -6.6e-6 C on the upper left hand corner.) of length x = 0.65 m and height y = 0.43 m. How much...

If I have two forces, F_1 and F_2, such that, if a body 'a' is applied only one of the two forces, either F_1 and F_2 for a given experiment and it is determined that.. if only F_1 acts on 'a', then the position of 'a' is given by: r_1(t) where 'r_1' is a position vector as a function of time...

1. Explain what is meant by statement that electrostatic forces obey the principle of superposition? 2. what does it mean to say that physical quantityis (a) quantized or (b) conserved.