How do you explain the fact that magnetic force is frame dependent
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When an electrical charge is moving or an electric current passes through a wire, a circular magnetic field is created.
I am trying to grasp the notion of magnetic fields under different reference frames.
Suppose I have a point charge next to a compass needle. It is experimentally verifiable that the compass needle is not affected by the point charge - i.e., the needle does not move. It can be concluded that the point charge does not create any magnetic field.
But since the point charge is on the Earth, and the Earth is moving, shouldn't the point charge produce a magnetic field? Why doesn't the compass needle move in response to this magnetic field? Is there a magnetic field in the room?
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