Charged particle Definition and 263 Threads

Homework Statement Homework Equations The right hand curl rule gave me the counterclockwise direction for the magnetic field but I am confused about how is it going to work for the particle. Thanks The Attempt at a Solution

Homework Statement On the diagram, a charged particle of charge 0.000003 C and mass 0.000007 kg moves across the electric field 6760 V/m with initial speed 40 m/s. When its x coordinate is 93.3 cm, its y coordinate is (in cm)? Homework Equations y=(e*Em*x^2)/(2*m*v^2), where Em is electric...

Let's say that there's nothing else in this universe except for 2 charged particles: q1 and q2. q1 is moving relative to q2, moving at velocity v. I've read that a magnetic field is made by a moving charge. In this case, the moving charge q1 is moving relative to q2. What would the magnetic...

Homework Statement Without introducing any coordinates or basis vectors, show that, when a charged particle interacts with electric and magnetic fields, its energy changes at a rate $$\frac{dE}{dt}=\vec{v}\cdot \vec{E} $$ Homework Equations ##E_{kin} + E_{pot}= En =## const (1)...

Homework Statement Homework EquationsThe Attempt at a Solution I know the equation of force on a moving charge in a magnetic field is F=BqV... Why is the answer A ?

Homework Statement Plot the electric potential ##V(r)## due to a positively charged particle located at the origin of an XY plane. Homework Equations ##V=\frac 1 {4πε_0} \frac q r## The Attempt at a Solution I'm unfamiliar with 3D coordinates at this time, but I like to know how can I plot it...

Homework Statement Can't really find out b, probably due to a mistake in a. Was wondering what I did wrong. Homework Equations Kinematic equations of motion, w/ constant a ##F=qE## The Attempt at a Solution [/B] (a) ##E=\frac {\Delta V} {\Delta d}= \frac {V_R-V_L} {L} = \frac {V_0}{L} ##...

I'm doing some special relativity exercises. I have to find $$x(t), v(t)$$ of a charged particle left at rest in $t=0$ in an external constant uniform electric field $$\vec{E}=E_{0} \hat{i}$$, then with that velocity I should find the Liénard–Wiechert radiated power. I will show you what I did...

Homework Statement At our university we were given this problem: charged ball with mass of ##m = 0.0001 kg## and charge ##Q = -10^{-5} C## is placed on geometric axis of thin torus with inner radius of ##r_{inner} = 0.05 m##, outer radius of ##r_{outer} = 0.1 m## and surface charge density...

Does a charged particle need to experience a momentum changing force to emit light? Or is it sufficient for an observer to accelerate relative to the particle?

I am looking to find a combination of electric and magnetic fields that create something similar to the (d) crests Currently, I have the cracks flipped clockwise 90deg, so that the crests are concave up. And each crest can be defined by a parabolic function (which are uniform with each new...

Homework Statement Basically having a problem when trying to theoretically calculate the mass of alpha particle in a charged field. r is the unknown radius of curvature m = mass of an alpha particle (6.646 *10^-27 kg) v = velocity of an alpha particle immediatly after decay (1.381 *10^7 m/s)...

Can anyone help me find any mistake in this expansion ? (I've asked it also in other places but I got no answer)) Pα= e Fαβ Uβ c = speed of light m = "rest" mass e = charge a = sqr(1 - v2/c2) v2 = vx2 + vy2 + vz2 dτ = dt a (proper time) momentum 4 vector : Pα = [mc/a , mvx/a , mvy/a ...

Homework Statement Homework Equations F= q v x B The Attempt at a Solution [/B] I tried using the right hand rule to find the direction of the force and seeing if the particle curves that way or not but obviously that's wrong

I know that, in the presence of a magnetic field, the momentum of a charge particle changes from ##p_{i}## to ##\pi_{i}\equiv p_{i}+eA_{i}##, where ##e## is the charge of the particle. I was wondering if this definition of momentum is gauge-invariant? How about ##\tilde{\pi}_{i}=p_{i}-eA_{i}##?

Homework Statement Imagine a particle with charge +Q moving with constant horizontal velocity passing perpendicular to electric field between two parallel plates. The length of the plates is L. Therefore, is the time spent in the field (well, between the plates), simply the length/horizontal...

Consider a charged particle moving with velocity v, having the energy 1/2 m v^2. Now we deccelerate the particle very quickly; so quickly that the radiated energy is greater than the kinetic energy (it can be arbitrarily large). Note also that energy obtained from decceleration is positive...

Hello PF's members I know a magnetic field doesn't work on charged particles if magnetic field being perpendicular to the velocity of the particles. also i know magnetic field doesn't work if a charged particle enters with right angle into the field. But suppose that a charged particle like...

Homework Statement Two particles 1 and 2, each carrying 6.0 nC of charge, are located along an x axis, one particle atx=−30 mm and the other at x = 30 mm. Where along the y-axis is a particle 3 carrying a charge of +2.0 nC if it experiences an electric force of 6.9 × 10^−5 N ȷ^? Homework...

Homework Statement Problem given in the image attached. Uniform Magnetic Field : B Positive Charge : q Uniform Velocity : v Mass : m Charged particle enters the magnetic field making an angle θ with the plane perpendicular to the magnetic field. Width of the region of Magnetic field : d d <...

Good morning all, I was just wondering the following question. When an electron is accelerated it emits electromagnetic radiation, depending on how much it is accelerated the energy varies so the frecuency does and the electromagnetic wave emitted would be of different colors or maybe even...

Homework Statement 3 charged particles located at equilateral triangles corners has charge ##q_1=q_2=q_2=4*10^{-6} C ## The 4th particle with charge ## q_4=3*10^{-4}## is placed at bisectors crossing. The distance between q1 and q4 is 3.46 cm .What is the net force on q4? Homework Equations...

Why is it that a static electric field will exert a force on a stationary charged particle but a magnetic field from a permanent magnet will not? I am somewhat confused by this because the magnetic field in a permanent magnet is the result of spin charge polarisation which must generate closed...

Homework Statement A particle of specific charge q/m is projected from the origin of coordinates with initial velocity ##v_1\hat{i}+v_2\hat{j}## in space having uniform electric field and magnetic field as ##-E\hat{j}## and ##-B\hat{j}## respectively. The particle will definitely return to the...

[moderator note: Thread title changed to make it descriptivie of the problem] Homework Statement A particle having mass m and charge q is released at the origin in a region in which magnetic field and electric field are given by B= -B' j and E= E' k where j and k are unit vectors along y-axis...

Homework Statement So, I got the problem from a friend who told me he copied it down in haste, so it's possible that my confusion stems from a missing variable, but I just want to be certain as my exam is in a few days. So the problem states that there's a +2 helium atom that was accelerated by...

Does the cycloid motion of the picture only apply to a particle at rest in the x y and z axis? What if it is moving with a velocity parallel to the magnetic field before the electric field accelerates it? I think it will then move in a spiral; although, I am not sure.

Homework Statement [/B] A) Calculate the electric potential at point A. B) If a small charged particle with a mass m=5.0 mg and charge q=7.0 nC is released from rest at point A, what will be its final speed vf Homework Equations V=Kq/r Uelec=qV Uelec=1/2mv2 The Attempt at a Solution A) I...

Homework Statement Find the initial velocity of an alpha particle with a mass of ##6.64 \times 10^{-27} kg## and a charge of ##+3.2 \times 10^{-19} C##, if it undergoes a head on "collision" with a gold nucleus. You may assume the gold nucleus does not move at all during the interaction. The...

If I have an electric field between a cathode and an anode, are there electric field lines between the plates? If yes, what happens if a charged particle enters the field at an angle? Is the force acting on the particle reduced?

Let's see delocalized electron cloud on a surface of a metal (a piece of iron for example): When a strong Nd magnet get close the spin of these electrons allign to the magnetic field but the electrons don't move. Why? The force is not canceled out. Electrons should move and compressed in one...

...perpendicular to its path? OK; let's say you have any charged particle moving perpendicular to a magnetic field; does it describe a gigantic polygon or a perfect circle? I think it's a polygon; the particle absorbs a "quantum of force" from the magnetic field, so to speak, and changes...

I'm reading how a charged particle moving through a magnetic field experiences a force (called magnetic force). I understand that it moves the particle in a certain direction and because the greatest force is experienced when the magnetic field is perpendicular to the particle's velocity vector...

Hello, My question is about accelerating charges generating electromagnetic radiation, and is more of a theoretical one, or a thought-experiment in my head...probably because I'm not totally understanding something. I was playing with this applet which simulates the electric field lines of a...

Homework Statement Two particles are separated by a distance d, Particle A has charge +Q and Particle B has charge +3Q. At what distance from particle A along the line connecting particles A and B would you place a third charged particle such that no net electrostatic force acts on it ...

Homework Statement This is for a practice question on an exam: I am able to finish the problem, if I could figure out how to find the radius of this arc the proton makes. Homework Equations I have nothing. The Attempt at a Solution I have tried arc length equations and just integrating the...

What kind of magnetic field does a moving, electrically charged foam ball create? What are the relevant variable determining the properties of the magnetic field? Its charge? velocity? (Assume it's in space and charge is in the shape of a point) Are electrons or ions analogous to this foam ball?

The electric field emanating from charged particle travels at the speed of light; fine. To pose an unrealistic thought experiment (a more realistic, if more complicated, thought experiment could replace this one, but the unrealistic one gives the idea), if a proton were to suddenly pop into...

Homework Statement What is the magnitude of the force experienced by a He2+ ion traveling with v = 1.3 × 10^5i m/s in a magnetic field B = 0.42 j T? Homework Equations F=qvbsinθ The Attempt at a Solution F=2*1.6e-19*1.3e5*0.42 I am unsure about the charge on the Helium ion. Is it 2*1.6e-19?

Homework Statement A particle with a mass of 1.5×10−5kg and a charge of +2.9 μC is released in a (parallel plate) uniform horizontal electric field of 11 N/C . How far horizontally does the particle travel in 0.40 s ? Homework Equations I think some of the kinematic equations are needed, but...

Homework Statement A charged particle of charge q with arbitrary velocity ##\vec v_0## enters a region with a constant ##\vec B_0## field. 1)Write down the covariant equations of motion for the particle, without considering the radiation of the particle. 2)Find ##x^\mu (\tau)## 3)Find the...

The problem that I'm working on states: "An electron has initial velocity (12j +15k)km/s and a constant accelaration of (2.0 x 10^12 i) m/s^2 in a region of uniform electric and magnetic field. If B equals 400i microTeslas, find electric field E. I know how to do most of the components of this...

Current moves from positive terminal to negative terminal. But electrons moves from the negative terminal to positive terminal due to its smaller mass . But why it is said that current moves from positive terminal to negative terminal ?

Homework Statement An alpha particle (helium nucleus, charge +2e) starts from rest and travels a distance of 2.5 cm under the influence of a uniform electric field of magnitude 12.5 kV/m. What is the final kinetic energy of the alpha particle? Homework Equations U = 1/2 QV = 1/2 C(V^2) =...

Homework Statement A positively charged particle initially at rest on the ground accelerates upward to 200m/s in 2.60s. The particle has a charge-to-mass ratio of 0.100 C/kg and the electric field in this region is constant and uniform. What are the magnitude and direction of the electric...

Suppose we're given the action S=-mc\int ds + \frac{q}{c}\int A_{\mu}(x) dx^{\mu}-\frac{1}{4c}\int d^{D}xF_{\mu \nu}F^{\mu \nu} The first two integrals are over the particle's worldline while the last is over spacetime. So I'm able to successfully vary the action with respect to the gauge...

When a moving proton travels through a magnetic field, doe's it's magnetic field (that it's giving off) naturally align with the outside magnetic field (due to a magnet or something in the environment)?

Homework Statement Show that the Lagrangian $$ L = \frac{m}{2}(\dot{r}^2 + r^2\dot{\theta}^2 + r^2\dot{\phi}^2sin^2\theta) - qg\dot{\phi}cos\theta $$ describes the motion of a charged particle (mass ##m## charge ##q##) in the magnetic field ## \vec{B} = g\vec{r}/r^3## (##g## is a constant)...

Homework Statement A velocity selector uses a 64mT magnetic field perpendicular to a 28kN/C electric field. At what speed will charged particles pass through the selector undeflected? Homework Equations v = E/B The Attempt at a Solution [/B] Using dimensional analysis, I converted units T...

Charged Particle thread with linear charge force Homework Statement A uniformly charged thread with linear charge density 5 C/m lies along the curve y = (3/m) x^2 for 0≤x7m. The y component of the electric force it exerts on a 6 C point charge located at (3m, 0m, 2m) is given by...