Charge moving through a magnetic field

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SUMMARY

The force on a charge moving through a magnetic field is always perpendicular to both the velocity of the charge and the direction of the magnetic field, as established by Maxwell's equations. This phenomenon is illustrated by the interaction between two parallel wires, where the magnetic field generated by one wire affects the current in the other wire, resulting in a perpendicular force. When a point charge replaces the second wire, it experiences the same perpendicular force due to the magnetic field. Understanding this relationship is crucial for grasping the fundamentals of electromagnetism.

PREREQUISITES
  • Maxwell's equations
  • Electromagnetic field theory
  • Right-handed coordinate systems
  • Basic principles of electric current and magnetic fields
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  • Study the implications of Maxwell's equations in electromagnetism
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  • Investigate the behavior of magnetic fields around current-carrying conductors
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Students and professionals in physics, electrical engineering, and anyone interested in understanding the principles of electromagnetism and the behavior of charges in magnetic fields.

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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