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Hall effect and semiconductors

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I had a problem understanding the hall effect for flow of holes... I thought flowing of holes means that the electrons are flowing the opposite direction,leaving open holes and that's it... but when reading hall effect I couldn't explain the hall effect for electrons and holes... Suppose holes are flowing to the right... A magnetic field is working perpendicular to its direction... We can see where the positive charge will be forced to gather... But if I think about electrons for this case that shows electrons are also gathering up there... That means either I have some mistake here or I had some misconception about the flow of holes in semiconductors...

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