When a current ows in a conductor (move free electrons) in a B- eld, the moving charge experiences a force of Bqv. As electrons enter the Hall Probe, the electrons experience a force upwards (Fleming’s LHR). This means that we have an excess of electrons at the top and a de ciency at the bottom which creates a potential di erence. If the current is kept constant, then the force on the moving charge Bqv will eventually be canceled out by the electrostatic repulsion due to the electrons on the surface (Eq). The larger the current, the larger the drift velocity, and so the bigger the force Bqv, so the larger the charge separation, so the larger the Hall Voltage.
