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0 votes
1 answer
126 views

Repulsive force between electrons at relativistic speeds

What happens to the repulsive force between two electrons, once one of the electrons travel at relativistic speeds? Let's consider two electrons in an atom with magnetic dipole moment, one of which is ...
6 votes
2 answers
1k views

Lorentz force law in Newtonian relativity

I know that in special relativity Electric and Magnetic fields mix together in different reference frames, but my question is about classical mechanics. It seems weird to me is that the Lorentz Force ...
1 vote
1 answer
200 views

Generalised Lorentz force expression from Classical Mechanics by Goldstein

I am reading chapter 7 in the 3rd edition of Goldstein's Classical mechanics textbook and the expression for the Lorentz force is confusing me. I cannot scan it so I am just going to write it out ...
2 votes
3 answers
2k views

Lorentz transform of force

If a particle of mass $m$ and velocity $v$ is moving due to a constant electric force what would the force be in the the frame where the particles velocity is 0? To try and solve this I used the four ...
2 votes
1 answer
127 views

Does the magnetic field, circulating the moving uniformly charged sphere, exert force/tension on it? If so, how is it interpreted in the charge frame?

I am aware of this SE question, however, it does not solve my problem. Assume that a bulk uniformly charged nonconductive sphere is set in motion along the $x$-axis in the lab frame of reference. ...
5 votes
3 answers
1k views

Is there any way to justify or derive the form of the Lorentz force from relativity theory?

Lorentz force is in this form: $$\vec{F}=q[\vec{E}+\vec{u}\times\vec{B}]$$ As we know, it is Lorentz-invariant. Is there any way to justify or derive its form from relativity theory?
2 votes
1 answer
167 views

Are there any relativistic corrections to electrostatic attraction between two charges moving close to the speed of light?

If two opposite charges are moving at a velocity of $0.9c$ relative to a laboratory, but are at rest relative to each other (say the charges are moving in parallel), will there be any relativistic ...
0 votes
1 answer
50 views

What is the force between two charges moving at 0.5c relative to each other? [closed]

Suppose two charges, $q_{1}$ and $q_{2}$ are in uniform translational motion relative to each other. If the relativity velocity is relativistic, e.g. $0.5c$, how can the force between the two charges ...
0 votes
0 answers
49 views

If magnetic force is perpendicular to the direction of motion, does that mean the direction of motion prior to the magnetic force doing anything?

I want to make sure I'm understanding this correctly: My understanding is that magnetic force can do no work because it can never change the speed of an object -- instead it can only cause ...
0 votes
1 answer
63 views

Deriving Lorentz force from relativistic force

By EQ.$72$ of this, Richard Haskell proves Lorentz force law in subsequent sections. During the proof he says that, Suppose a conductor of charge density $\rho'$ be at rest inside a frame of reference ...
1 vote
2 answers
107 views

Do forces get affected by relativity?

Do forces change their behavior due to the relativity? For example if a charged particle deflects through an electric field, would the pattern and amount of deflection differ in speeds near speed of ...
0 votes
1 answer
84 views

Why this term can be written as the electric force component of the lorentz law?

I am reading Special Relativity and Classical Field Theory by Susskind. In chapter 6, he is deriving the Lorentz force law from the action, and he presents the following equation $$m\frac{d}{dt}\frac{\...
0 votes
3 answers
364 views

Can Lorentz force law be derived from Coulomb's law and Special Relativity? [duplicate]

If two stationary charges experience 1N of force, two moving charges should experience 1N of force as well right? (Due to the fact the the moving charges see each other as stationary.) So can we use ...
1 vote
0 answers
23 views

Question on thinking about an electric charge as multiple electric charges in special relativity

I understand that thinking about permanent magnets as a rotating loop of charged particles can be used to derive things like how an electric charge will be effected by the magnetic field, and to ...
0 votes
2 answers
70 views

Electrical force combined with the equation of motion

I read "The Feynman Lectures on Physics Vol II The New Millennium Edition" and the equation (1.2) stated that we can combine electrical force with the equation of motion and get: $$\frac{\...

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