What Causes the Lorentz Force in Electromagnetism?

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The Lorentz force arises from the interaction between moving charges and magnetic fields, as moving charges generate their own magnetic fields. It is suggested that the Lorentz force cannot be directly derived from Maxwell's equations but is instead an additional postulate in electromagnetism. The force can be understood through principles related to relativistic particles and can be derived from a Lagrangian approach, which considers the effects of a massless vector field. Ultimately, the Lorentz force can be viewed as a manifestation of the Coulomb force in a moving frame. This highlights the complex relationship between electric and magnetic fields in electromagnetism.
Gavroy
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hi

i was wondering whether the lorentz force is just caused by the fact, that moving charges produce a magnetic field, just like every current does, and this magnetic field interacts with the magnetic field in the environment, that causes the force or whether the lorentz force has nothing to do with this and is a new effect in electromagnetism?

sorry about my english...
 
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I don't think that the Lorentz force can be derived from Maxwell's equations, but must be added as an extra postulated equation. Generally, I think of the Lorentz force equation as the definition of the fields.
 
The Lorentz force can be derived from rather weak principles about forces on relativistic particles. Among other possibilities, this leads to a Lagrangian, where the force is mediated by a (massless) vector field, and when you derive the equations of motion for the point particles and neglect the backreaction of the partilcles' radiation field on the particles, you arrive at the Lorentz force.
 
The Lorentz force, of course, is just the Coulomb force viewed in a moving frame.
 

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