October 7, 2010University Physics, Chapter 272The Hall Effect (1)Consider a conductor carrying a current iperpendicular to a magnetic field Bas illustrated belowmakes the electrons movetoward one edge of the conductorThis creates and producesThe Hall potential is VH= Edwhere dis the width of the conductorWhen equilibrium is reached()eivantiparallelE,BFqvB qe BFEBFF EFEBFFeEvBeHHVEBVEdvdv
October 7, 2010University Physics, Chapter 273The Hall effect can be used to measure magnetic fields by applying a known current in the conductor and measuring the resulting electric field across the conductorEarlier we had found that the drift speed of an electron in a conductor can be related to the current density Jin the stripwhere A= dhwhere his the thickness of the conductor, and nis the number of electrons per unit volume in the conductorThe manetic field is given byin terms of VH, h, and nThe Hall Effect (2)EBFFeEvBeiJnevAHHVEBVEdvdviivAnedhneHHHVV dhneV hneBdvdii
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Magnetic Fields from Moving Charge (1)Biot-Savart Law024μqvrdBπr702N410APermeability constant„Moving point charge:024μi dsrdBπr„Bits of current:IBiot-Savart Law/T m AalsoThe magnetic field “circulates” around the wire.ids