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Magnetic force paradox Hall Effect

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Hello,
I was taught that moving charges in an external magnetic field experience force. Okay. I wondered that if the observer was moving with the same velocity as the charge is what would happen? I studied in one book about field transformation and came to know that the charge will experience the same force but of electric nature. But recently I read about Hall effect that moving electrons with drift velocity get accumulated at one side due to external magnetic field, and a "Hall Potential difference" emerges. Okay. But it said that drift velocity can also be measured by adjusting the speed of the whole apparatus when the speed of the copper strip equals the drift velocity, the HALL POTENTIAL VANISHES. it means that in the laboratory frame the electrons get accumulated on one side but when the apparatus is move with the drift velocity, the electrons are not getting accumulated on either side. How can this happen, shouldn't the electrons experience the same force that of electric nature as in the above case, and the hall potential be the same? Is it possible that in a frame there is a potential difference but it vanishes in another frame?
Thanks

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