Magnetic Force from an EM Wave

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Discussion Overview

The discussion revolves around the magnetic force exerted by an electromagnetic (EM) wave on a charged particle. Participants explore the relationship between the charge's velocity, the magnetic field associated with the wave, and the implications of different reference frames, particularly in relation to the speed of light.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the magnetic force on a charge moving with speed c relative to an EM wave can be expressed as qc x B, suggesting that the interaction is more complex.
  • Others argue that the equations of motion should be considered in the lab frame rather than a frame moving with the light wave, emphasizing the limitations of such a perspective.
  • One participant notes that the force on a charge is a combination of electric and magnetic components, indicating that the charge's motion is influenced by both fields, which oscillate at the frequency of the wave.
  • There is a suggestion that the speed of light varies in different mediums, which complicates the assumption that the magnetic force is always qc x B.
  • Some participants assert that it is not valid to use a photon as a frame of reference, reiterating that no inertial frame exists where light is stationary.

Areas of Agreement / Disagreement

Participants express disagreement regarding the validity of using a frame of reference moving with the light wave, with some asserting it is not permissible. There is no consensus on the nature of the magnetic force in relation to the charge's velocity and the EM wave.

Contextual Notes

Participants highlight limitations in the discussion, such as the dependence on the choice of reference frame and the complexities introduced by different mediums affecting the speed of light.

eok20
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I'm not sure if this belongs here or in the relativity forum but associated with an electromagnetic wave is a magnetic field B and the force of this field on a charge q with velocity v is qv x B. Since any charge will be moving with speed c relative to the wave, will the magnetic force on a charge from an EM wave always be qc x B?
Thanks.
 
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NO! I'm not sure how you would even write the equations of motion in the frame of reference moving with the light wave. Stick with the "lab frame" and the Lorentz force in its usual form.
 
force in em wave

No. Do you think that the field is moving along with the wave w.r.t charge? Only the field is sccessively being induced hence the charge or the field does not have relative motion. Hence will not ihave that type of nteraction with stationary charge

mm_musthafa @rediffmail.com
 
An electromagnetic wave has two components: electric (E) and magnetic (B). So the force on a charge is F = qE + qvxB. For a plane wave, E and B are perpendicular. Both oscillate at the frequency of the wave. The electric field will cause the charge to oscillate perpendicular to the wave direction, and the resulting motion will induce a magnetic force on the particle. The net (classical) effect is that the charge will pick up speed in the direction of the wave. (I'm assuming that the mass of the particle is such that the velocity gained from absorption of a single photon from the wave is very small compared with any velocity of interest. Otherwise, you need to look at Compton scattering.)
 
kuto1

eok20 said:
I'm not sure if this belongs here or in the relativity forum but associated with an electromagnetic wave is a magnetic field B and the force of this field on a charge q with velocity v is qv x B. Since any charge will be moving with speed c relative to the wave, will the magnetic force on a charge from an EM wave always be qc x B?
Thanks.
hey eok20 i congratulate you for your good question.well,the force won't be qc x b always that's because the speed of light on different mediums is different.
 
Weird approach, but i think it's just not fine, because:

-if you take a photon as a frame of reference, time will not flow, and the whole universe will be a single point; given these, what can you calculate!
speed of electron?

[tex]\frac{dx'}{dt'} = \frac{0}{0}[/tex]

ugh! disaster! of course, one can limit "actual" quantities.
 
gulsen said:
-if you take a photon as a frame of reference,

Sorry, you can't do that. As has been stated over and over and over again in the relativity forum, there is no inertial reference frame in which light is stationary.
 
jtbell said:
Sorry, you can't do that.
yup, that was my point.
 

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