20.3.3—The origin of the Hall voltage and derive and use the expression V H = BI /

Moving charge carriers are deflected sideways by a magnetic field, building a transverse Hall voltage until electric and magnetic forces balance.

The sign and size depend on carrier type, current, field, thickness and orientation. At balance qE_H=qvB.

Reversing the magnetic field reverses Hall voltage, while increasing current increases the voltage for a fixed sample.

Hall voltage is not the ordinary voltage drop along the conductor; it is transverse to current.