It is known that an electron of charge e moving in a magnetic field B with velocity v will experience a magnetic force Bev perpendicular to the direction of the magnetic field and motion of the electron.
I have been under an impression that the magnetic force acting on the electron originates from relative motion between the electron and the magnetic field.
If I am correct, a result can be obtained:
An electron, which is stationary relative to an observer, is placed inside a hypothetically large magnet which provides a steady magnetic field and moves with a constant velocity relative to the observer, will experience a magnetic force.
I suppose this is correct at least when the observer is moving as the same velocity as the large magnet. But if I am completely correct, here comes a question:
Is that the magnetic field produces a larger magnetic flux density (relative to the electron) when the field is moving? Otherwise, who knows whether the magnetic field is actually moving or not?
If this is also true, then can I come to the conclusion that an electron moving in a magnetic field experiencing a magnetic force is due to the change in electric field as well as the magnetic field?
Also, I want to ask why a moving magnetic field can be considered a magnetic field with larger magnetic flux density (if it is true). Is there any mathematical approach? Also, of what apparent path will a stationary electron move if it is placed in a moving magnetic field?
Your help will be highly appreciated.