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Mar
3
comment Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?
I would move this to chat but I can't. After thinking about it some more I have an idea . We have established that F must be perpendicular to v. Thus, F can only cause the velocity vector to change direction. If the F is not perpendicular to B then the force will cause the velocity vector to align with the B field more and more. However, the magnitude of the force is proportional to the velocity vector component perpendicular to v. Thus, if F is not perpendicular to B then the force will cause v to align with B thereby decreasing the magnitude of the force.
Mar
2
comment Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?
Yes you're right I guess the argument above only proves that the force must be perpendicular to the velocity .
Mar
2
comment Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?
Yes I meant B must be perpendicular to F at the end . Thank you
Mar
2
comment Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?
B must be perpendicular to F because if this were not the case the B would cause an increase in the velocity which would then create an increase in the force and so on.
Mar
2
comment Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?
Also if F had an antiparallel component I could just change the sign of the charge could I not?
Mar
2
awarded  Teacher
Mar
2
answered Is there an intuitive explanation for why Lorentz force is perpendicular to a particle's velocity and the magnetic field?