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- For the Special Theory of Relativity (STR) to be valid the form of the Lorentz force expression (say, its Y-component) after Lorentz transformations should be Y' = Y − v N .
philsci-archive.pitt.edu/1006/1/Special_Theory_of_Relativity_and_the_Lorentz_Force.pdf
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What is the relativistic form of Lorentz force law?
What is the Lorentz force law?
How does Lorentz force work?
Why is the Lorentz force only a definition of E and B?
If we have both electric and magnetic fields, the total force that acts on a charge is of course given by F~ = q E~ + ~v c ×B~!. This combined force law is known as the Lorentz force. 10.1.1 Units The magnetic force law we’ve given is of course in cgs units, in keeping with Purcell’s system.
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The electric and magnetic fields are dependent on the velocity of an observer, so the relativistic form of the Lorentz force law can best be exhibited starting from a coordinate-independent expression for the electromagnetic and magnetic fields , and an arbitrary time-direction, .
Lorentz force is the fundamental force acting upon electric charge with certain velocity in a magnetic field. The right-hand rule is useful to visualize how the Lorentz force works. Lorentz force is applicable in cathode ray tube television.
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Lorentz force, the force on a charged particle q moving with velocity v through an electric field E and magnetic field B. The entire electromagnetic force F on the charged particle is called the Lorentz force (after Dutch physicist Hendrik Lorentz) and is given by F = qE + qv x B.
- The Editors of Encyclopaedia Britannica
If we consider the the relativistic Lorentz force law: $$\frac{d}{dt} (m\gamma \vec{u})=e(\vec{E}+\vec{u} \times \vec{B})$$ How can we deduce: $$\frac{d}{dt} (m\gamma c^2)=e \vec{E} \cdot \vec{u}$$ Clearly dotting with $\vec{u}$ will give us the RHS. Which leaves us: $$\vec{u} \cdot \frac{d}{dt} (m\gamma \vec{u})=e \vec{u} \cdot \vec{E}$$
For the Special Theory of Relativity (STR) to be valid the form of the Lorentz force expression (say, its Y-component) after Lorentz transformations should be v Y' Y N c =−. However, the form of what is claimed to be the Lorentz force after the application of the Lorentz transformations is, in fact, approximately 2 2 v1v Y' Y N Y c2c
Flaw in Relativistic Theory. As is well established by experiments, the force on a particle with charge q and velocity v in a magnetic field B is given by the Lorentz force. (1) FL =q/c. (v × B) (in cgs- units)
