A measurable amount of voltage will produce in a current-carrying conductor if we apply a perpendicular magnetic field to it; this is known as the Hall effect. The voltage is also known as Hall voltage.
The Hall voltage is given by the formula, , where A and L be the area of cross-section and length, B = magnetic field, and i = current. n = number of charge carriers in unit volume, e = charge of an electron.
Substituting the values of the known parameters, we can measure the charge carrier concentration.
So, the Hall effect is used to measure the charge carrier concentration of the semiconductors or insulators and the voltage produced by the magnetic field.