In a conductor, free electrons keep on moving but no magnetic force acts on a conductor in a magnetic field.


Force on free electrons due to magnetic field always acts perpendicular to its direction of motion.

Free electrons move randomly within a conductor. Each moving electron will experience a magnetic force based on the Lorentz force equation given as:

F=evBsinθwhere,e is the charge of the electronv is the velocity of the electronB is the applied magnetic fieldθ is the angle between v and B
Since, in the absence of an applied potential, such movement of free electrons doesn't constitute a net current in the conductor. So, the conductor as a whole will not behave as a current element in such a case and hence, the magnetic force acting on it will be zero.

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