Hope this helps
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/hall.htmlEssentially the right hand rule, when there is drift in the charges it creates an EMF and based on the current flowing through the conductor this EMF varies and based on the material of the conductor a relationship is drawn between voltage o/p and the current through the conductor,
when current flows through a conductor which is placed in a plane perpendicular to a magnetic field the electrons are forced to one side of the conductor creating a potential difference across, the voltage is read out at the hall voltage.
Now the voltage produced is in the order of millivolts and therefore needs to be amplified considerably hence the next stage from here is a amplifier with a dual rail supply to be able to measure positive and negative flow of current
aka as below