Hall effect and relativity

jeudi 1 août 2013

In the regular hall effect we calculate like this

F=qE=qvB then E=vB , now we assume our conductor has width d so we multiply both sides d.

then Ed=vBd=V so now our Hall voltage is vBd v is the speed of the charge carriers and B is the magnetic field. But what if our charge carriers were moving at relativistic speeds? How would we correct our derivation. Could I just write my initial velocity in terms of momentum p=mv and then use

relativistic momentum.






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