Charged particle Definition and 263 Threads

If you go to the relativistic Hamiltonian, what allows us to go from \dot{\vec{P}} = - \frac{\partial \mathcal{H}}{\partial \vec{x}} = e (\vec{\nabla} \vec{A}) \cdot \dot{\vec{x}} - e \vec{\nabla} \phi to \frac{d}{d t}\left(\frac{m \dot{\vec{x}}} {\sqrt {1 -...

Homework Statement A mass m that has net electric charge Q is oscillating along the x-direction on one end of a spring (whose other end is anchored) of relaxed length s0. Suppose that someone then swirches on an electric field E  that is uniform in space, constant in time, and which points...

Homework Statement The work done by an external force to move a -8.5μC charge from point A to point b is 15x10^-4 J. If the charge was started from rest and had 4.82x10^-4 J of kinetic energy when it reached point b, what must be the potential difference between a and b Homework Equations...

Homework Statement If sphere 2 were free to move its initial acceleration would be ___m/s^2 Homework Equations Two small spheres carrying charges q1 = 7.68 µC and q2 = 5.74 µC are separated by 19.9 cm. The mass of sphere 1 is 10.5 g and the mass of sphere 2 is 15.2 g. The Attempt at...

Homework Statement A point particle of mass m carrying an electric charge q is attatched to a spring of stiffness constant k.A constant electric field E aong the direction of spring is switched on for a time interval T (T<<Sqrt(m/k)). Neglecting radiation loss,Find the amplitude of...

Hey all, I was wondering if one of you could help me out with a debacle I'm having. I'm having trouble reconciling what exactly happens between an orbiting tetherball and the separate scenario of a orbiting particulate charge. With the particulate charge: you can, given the velocity and...

Homework Statement A particle of (positive) charge Q is assumed to have a fixed position at P. A second particle of mass m and (negative) charge -q moves at constant speed in a circle of radius r1, centered at P. Derive an expression for the work W that must be done by an external agent on...

In classical electrodynamics a paradox arises when we compare the power radiated by a charge falling under gravity using larmor formula (proportional to square of the acceleration, hence g^2) but the radiation reaction , given by abraham lorentz formula gives zero.(since it depends on the time...

Homework Statement The problem statement is attached. Homework Equations The Attempt at a Solution How do I start this problem?

Consider that we have a macroscopic, electrically charged, point object tracing out a circular path in a uniform magnetic field in the usual way due to the Lorentz force. Now we very slowly raise the overall strength of the magnetic field (slow enough that on one orbit, the object sees the same...

In a case of a charged particle attracted to another fixed chrged particle both on one axis. force on charged particle will be F= (const)(q1*q2)/(r^2) for simplification = q1*q2*const =1 , and also mass of particle will be equal to one . so acceleration = 1/(r^2) r is distance between 2...

http://imageshack.us/photo/my-images/543/unledyel.png/ This is a chamber, immersed in a magnetic field, containing circulating electrons shot into a gas. My question is: why is the direction of rotation for the electrons (as shown on the picture) clockwise and not counterclockwise? I am...

Greetings- I'm playing with the differential equations to get the standard or classical solution for the circular motion of a charged particle in a magnetic field. I have some question on my math. I'm doing this for fun - (just because) Should I post this in the homework section. Does...

I can't figure out what is the motion of a charged particle at rest at origin in a constant uniform magnetic field when it is subjected to an oscillating electric field starting t = 0. I need to find the equations representing its motion.

The Problem is as follows: A ring of diameter 7.50 is fixed in place and carries a charge of 5.50 uniformly spread over its circumference. A) How much work does it take to move a tiny 3.80 micro-columb charged ball of mass 2.00g from very far away to the center of the ring? B) What...

Imagine I am sitting on a lead ion and fly happily through the LHC tube :approve:. Suddenly I feel an strong force pushing me sideways to the left. A physicist sitting in the lab frame tells me later, that I have been going through a dipole magnet yoke with field lines from top to bottom...

Hello all, I got this question off mastering physics and was unable to understand it. I eventually gave up to concentrate on other assignments and asked for the answer. I was unable to come up with more than one answer I thought possible without resorting to trial and error. Answer: Vx,Vy,Vz =...

Homework Statement A charged particle with mass m = 200g and charge q = 25 µC is suspended from an elastic cord with force constant K = 5 N/m in a vertically upward electric field E of magnitude 3.7 x 10^5 N/C. What is extension of the cord when the particle is in equilibrium? Homework...

An accelerating charged particle produces EM radiation. Does gravity cause this effect as well? Does the particle actually accelerate due to it or would it not since it would be following a straight path through curved spacetime? I'm guessing the particle would not create EM radiation, but I'm...

I am considering a positive charged particle moving with the velocity v into the magnetic field field B making an angle theta with the magnetic field, so the magnetic force exerted on the charged particle is perpendicular to the plane of B and v. My question is-Why the speed of the charged...

Homework Statement A 2.50-mg dust particle with a charge of 2.00 µC falls at a point x = 2.80 m in a region where the electric potential varies according to V(x) = (2.00 V/m2)x2 − (1.00 V/m3)x3. With what acceleration will the particle start moving after it touches down? (Enter the magnitude of...

Let us consider a fixed Carthesian reference frame (x y z) with a charged (+) particle locate in its origin. Moreover, let us consider two parallel conductors of infinite lenght, carrying the same current I (in the same direction y). The two conductors move at constant velocity from the origin...

The equation for the force of a magnetic field on a moving charged particle would say no: F = q * v x B, which means the force is always perpendicular to v, and never has a component along v. Thus a magnetic field can't accelerate a particle, only deflect. This is correct, right? If...

I'm working on something right now where I want to model the flow of an electrically charged gas (hydrogen) reacting to an electrostatically charged metal grid. I know, more or less nothing about this type of mechanics, so I want to create a model using a simple programming language, with a...

3. Two electrons are fired at 3.5x10^6 m/s directly at each other. (a) Calculate the smallest possible distance between the two electrons. (b) Is it likely that two electrons in this situation will actually get this close to each other if the experiment is performed? Explain your answer...

For sake of argument consider magnetically accelerating a Proton to greater than .1 "C". In an accelerator the proton is contained and accelerated by a magnetic field. Relativistic mass issues vs. available energy is the velocity limitation. Correct? As relativistic mass becomes...

A proton moving to the right at 6.2 × 10^5 ms-1 enters a region where there is an electric field of 62 kNC-1 directed to the left. Describe qualitatively the motion of the proton in this filed. What is the time taken by the proton to come back to the point where it entered the field? I...

Homework Statement A uniform electric field is non zero in a 20x10m region at the surface of the earth. Determine the direction and magnitude of the total vertical deflection of the incoming charged particle by the time it exits the region. The charged particle is traveling horizontal through...

Homework Statement A particle of mass 0.000103 g and charge 87 mC moves in a region of space where the electric field is uniform and is 4.8 N/C in the x direction and zero in the y and z direction. If the initial velocity of the particle is given by v_y = 3.2 × 10^5 m/s, v_x = v_z = 0, what is...

If we assume R-parity like in MSSM, shouldn't the lightest supersymmetric electrically charged particle be fairly stable? My question is two fold: 1] if we assume R-parity and supersymmetry (at least at high energies) is there a fairly model independent (ie. no details of how it "broke") way...

Homework Statement There is a solenoid with a magnetic field of a constant magnitude B. In this solenoid is a charged particle, initially at rest, at a certain distance r from the axis of the solenoid. After a certain amount of time, the magnetic field is instantaneously flipped in direction...

I came across an article on the net which stated that in 1881 J.J. Thomson realized that a charged particle was more resistant to accleration than an identical neutral particle. I would like to know how Thomson came to this conclusion, was it determined by experiment or mathematically, also...

Homework Statement A particle of mass M=2x10-25 kg, charge Q=8e, and velocity vector v=1.0x105 m/s j enters a uniform magnetic field of strength B=2.5 T. The magnetic firld vector B lies in the x-y plane at an angle of \alpha =70 degrees to the x-axis. What is the magnitude of this...

Homework Statement Two large conducting plates are separated by a distance 'L', and are connected together by a wire. A point charge 'q' is placed a distance 'x' from one of the plates. Show that the proportion of the charge induced on each plate is 'x/L' and '(L-x)/L'. (Hint: pretend the...

In quantum renormalization, one distinguishes between the (unobservable) bare electron and the observable properties. The justifications that I can find for the procedure seem to rest purely on mathematical and empirical grounds: the methods are in line with a consistent mathematical theory...

Homework Statement I have a couple questions from my textbook that I was looking at when studying, and since there are no answers, I'm not sure whether what I'm thinking is right. 1. A charged particle is moving in a circle in a uniform magnetic field. A uniform electric field is suddenly...

Hi. I'm curious, how would a charged particle, let's say an electron, move in a simple uniform electric field? My first guess would be that it would follow Newton's second law of motion and move with a constant acceleration: $ \dot{x}=\frac{Eq}{m} $ where E is the fields intensity, q the...

If TeV scale supersymmetry turns out to be true, with R-parity conservation it has been argued the lightest supersymmetric particle would be a great dark matter candidate since it would be stable. I'm curious whether a similar argument could be used to say that the "lightest charged"...

I'll be honest, I've never really understood the "why" of Earnshaw's Theorem. Why can't a charged particle be held in equalibrium with only electrostatic forces? If I have six charges arranged in at the corners of a hexagon and put a charge at the center, why can't it just stand there since...

A positivley charged particle is traveling in a straight line with velocity v at a small angle from the horizontal. At a certain instant a constant uniform electrical field is applied in the downward vertical. what is the direction of the charged particle? I figured that the equation for a...

Homework Statement when a charged particle enters a magnetic field in a cloud chamber, why does it move in a circular path instead of straight line? I have no idea why. please help Homework Equations The Attempt at a Solution it has something to do with the r changing? as I said...

Homework Statement A deuteron (the nucleus of an isotope of hydrogen) has a mass 3.34× 10−27 kg and a charge of +1.60 × 10−19 C. The deuteron travels in a circular path with a radius of 7.32mm in a magnetic field with magnitude 2.00T. (i) What is the angle between the velocity and magnetic...

If a proton flies into a magnetic field I've seen the trajectory but I'm not sure about the directions of all the forces involved. In this picture [PLAIN]http://img7.imageshack.us/img7/7065/helicinbfld.jpg I drew in a red, blue and yellow arrow. I assume the proton is moving in the direction...

hello, I am not too sure of how charged particle got to do with magnetism. "Magnetism is a force of attraction or replusion that acts at a distance. It is due to a magnetic field, which is caused by moving electrically charged particles or is inherent in magnetic objects such as a magnet."...

Homework Statement What is the force of attraction between a uranium nucleus(atomic number 92) and an electron at a distance of 0.1 nm? Homework Equations F = kQ1Q2/r2 The Attempt at a Solution F= 8.99*109*92*1.6*10-19*(-1.6*10-19)/0.1*10-9 Please let me know the attempt at a...

Homework Statement A proton is moving through a vertical magnetic field. The (instantaneous) velocity of the proton is 8.5x105m/s horizontally in the north direction. The (instantaneous) acceleration produced by the magnetic force is 2.90x105m/s2 in the west direction. What is the magnitude...

In this video here are those pink green the magnetic field lines? If so where does the proton come from? If I'm not mistaken a charged particle in motion will only be influenced by the magnetic field if its not moving parallel to the magnetic field lines but in this video the proton appears to...

1. Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire...

I want to find the motion of an electron in a spatially varying magnetic field using finite element analysis, and have some way of estimating the error (especially in the path length). I imagine somewhere someone has written up an algorithim that does this, but I haven't had much luck googling...

Hi everybody. I am a mechanical engineer trying to do an electrical experiment. I wonder if anybody can help me with an advice. Here is my experiment. I have a single rectangular metal plate to which I apply a known high negative voltage DC. Not sure yet what that voltage is going to be...