Suppose there is a uniform magnetic field everywhere in the space in -z axis direction. And suppose there is a particle at rest with respect to our reference-frame. The arrangement is shown in the figure :
Now, suppose our reference frames starts moving to the right with a constant velocity. The charged particle would appear to be moving to the left with the same velocity. Now, will there be any magnetic force acting the the charged particle ?
Answer
Yes, a magnetic force will appear, for the frame independent quantity is not the magnetic, but the Lorentz force. An electric field will appear as a consequence, so that the particle is subject to the same force in both frames.
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