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Hall Electric Field

Hall electric field is the electric field that develops inside a current-carrying conductor or semiconductor when it is placed in a perpendicular magnetic field.  As charge carriers move through the material, the magnetic field exerts a Lorentz force on them, pushing them sideways.  This sideways motion causes a separation of charges, leading to an accumulation of positive charges on one side and negative charges on the other.  This charge buildup creates an internal electric field, called the Hall electric field, which opposes further charge separation and eventually balances the magnetic force.  The magnitude of this field is a key component in the formula for the Hall coefficient.

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