The Hall effect arises from the force imposed on the electrons of a current flowing through a conductor while a magnetic field applied perpendicularly to the current according to the right hand rule is given by the Lorentz force law. A current consists of the movement of many small charge carriers, typically electrons, holes, ions or all three. When a magnetic field is applied, these charges will experience a force, called the Lorentz force. When such a magnetic field is absent, the charges in the current will follow approximately straight, ‘line of sight’ paths between their collisions with impurities, photons, etc. However, when a magnetic field with a perpendicular component is applied to the current, the paths of these moving charges between collisions with impurities are curved, thus these moving charges will be accumulated on one face of the conductive material. This leaves equal and opposite charges exposed on the other face of the material, where there is a scarcity of mobile charges. This results in an asymmetrical distribution of charge density across the Hall element, arising from a force that is perpendicular to both the ‘line of sight’ path and the applied magnetic field. The separation of charges then establishes an electric field that opposes the migration of further charge, so a steady electric potential can be maintained for as long as the charges are flowing.
