Charge moving through a magnetic field

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The discussion centers on the nature of the force experienced by a charge moving through a magnetic field, specifically why this force is perpendicular to both the velocity of the charge and the direction of the magnetic field. One explanation references Maxwell's equations, which govern electromagnetic phenomena, indicating that the perpendicular relationship is inherent to these fundamental laws. An illustrative example involves two vertical wires, where the current in one wire generates a magnetic field that interacts perpendicularly with the current in a parallel wire, resulting in a force on the moving charges. The second part of the discussion raises questions about the role of virtual photons in electrostatic forces, particularly how they account for the forces on moving charges and why neutral particles do not exhibit similar behaviors. The inquiry highlights a desire for clarity on the mechanisms behind these interactions and the asymmetrical nature of forces experienced by charged versus neutral particles.
jasonrindy
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I was wondering if anybody knows or has any ideas as to why the force on a charge as it moves through a magnetic field is perpendicular to the velocity and field direction. Thanks
 
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2 answers...

First answer: Because Maxwell's equations are constructed that way.

Second answer: Because it is what we experience.

Take for example a long thin wire oriented vertically with a current moving in the up direction. This would create a B field in the (+) theta-hat direction for a right handed coordiate system. Now, let's have another wire traveling parallel to the first, at some distance away. In this manner, the B field intersects the second wire perpendicularly. If a current is run parallel to the first wire in the second wire, the electrons moving in the wire feel an attractive force between the wires. This is a force that is perpendicular to the B field and the direction of the current. Thus: if a point charge moving along the path of the second wire replaces it in the above system, it acts just like the current in the wire. It similarly feels a force perpendicular both to its direction and the direction of the imposed B field.

Hope this helps.
-F
 
Ive read an explanation of electrostatic forces where the momentum of virtual photons point back to the originating electron accounting for the attractive force between two electrons. Why a net force results is not clear to me. I would also like to know how these photons account for forces experienced by moving charges, and why neutral particles don't generate these same photons or if they do why they don't exhibit the same assymetrical behaviour.
 
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