Magnetic Force from an EM Wave

AI Thread Summary
The discussion focuses on the interaction between electromagnetic waves and charged particles, specifically the magnetic force experienced by a charge moving with respect to an EM wave. It clarifies that the magnetic force is not simply qc x B, as the speed of light varies in different mediums and cannot be treated as a frame of reference for calculations. The Lorentz force equation, F = qE + qvxB, is emphasized, noting that the electric and magnetic fields oscillate and influence the charge's motion. The conversation also highlights the impossibility of using the speed of light as a reference frame due to relativistic constraints. Understanding these principles is crucial for accurately describing the behavior of charges in electromagnetic fields.
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?

\frac{dx'}{dt'} = \frac{0}{0}

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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