Magnetic Lorentz Force: Questions & Answers

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The Magnetic Lorentz force acts on charged particles in a magnetic field, but it does not induce current in a uniform magnetic field due to the lack of a changing magnetic field. Electromagnetic induction, as defined by Maxwell's equations, requires a changing magnetic field to produce electromotive force. The Lorentz force equation, F=q(v*B), is applicable in any inertial frame of reference, meaning the motion of charged particles can be analyzed relative to any inertial observer. Current can indeed be induced in conductors moving through a uniform magnetic field, as demonstrated by Hall probes. Understanding these principles clarifies the relationship between motion, magnetic fields, and induced currents.
TIBIN DANIEL BIJU
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Magnetic Lorentz force is the force experienced by any charged particle moving in a magnetic field.i want to clarify some doubts regarding this topic of Magnetic Lorentz force.some of them are:
1. Is it the Lorentz force that is actually responsible for the phenomenon of electromagnetic induction.if yes..they why does current is not induced while moving in uniform magnetic field.
2.Lorentz force is given as F=q(v*B). since all motion is relative ,what should be the frame of reference of the motion that we should consider in the motion of the charged particle.what is the motion of charged particle relative to..
PLEASE give an answer to these humble doubts of this beginner ...
 
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TIBIN DANIEL BIJU said:
2.Lorentz force is given as F=q(v*B). since all motion is relative ,what should be the frame of reference of the motion that we should consider in the motion of the charged particle.what is the motion of charged particle relative to
It is relative to any inertial frame. The same equations work in any inertial frame.
 
thank you sir. can you give me an answer for my first question..
 
TIBIN DANIEL BIJU said:
Magnetic Lorentz force is the force experienced by any charged particle moving in a magnetic field.i want to clarify some doubts regarding this topic of Magnetic Lorentz force.some of them are:
1. Is it the Lorentz force that is actually responsible for the phenomenon of electromagnetic induction.if yes..they why does current is not induced while moving in uniform magnetic field.

What do you mean by this? Wiki states "Electromagnetic or magnetic induction is the production of an electromotive force (i.e., voltage) across an electrical conductor in a changing magnetic field". So the third Maxwell's law:

##\vec{\nabla}\times\vec{E}=-\partial_t\vec{B}##

is responsible for induction. You probably want to talk about motion of charge carriers. Then you need to specify which charge carriers you mean. Free-electrons in vacuum?

Also, about current being induced as a result of motion in magnetic field. What about Hall probes?
 
TIBIN DANIEL BIJU said:
Why does current is not induced while moving in uniform magnetic field?
Current is induced in a conductor moving in a uniform magnetic field.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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