Formula: Hall Effect Hall Voltage Drift velocity Magnetic flux density (B-field)
$$U_\text{H} ~=~ \class{blue}{v} \, \class{violet}{B} \, h$$
$$U_\text{H} ~=~ \class{blue}{v} \, \class{violet}{B} \, h$$
$$\class{blue}{v} ~=~ \frac{ U_\text{H} }{ \class{violet}{B} \, h }$$
$$\class{violet}{B} ~=~ \frac{ U_\text{H} }{ \class{blue}{v} \, h }$$
$$h ~=~ \frac{ U_\text{H} }{ \class{blue}{v} \, \class{violet}{B} }$$
Hall Voltage
$$ U_{\text{H}} $$ Unit $$ \mathrm{V} $$
Hall voltage is generated in a Hall plate in the magnetic field when an electric current flows through the plate.
Drift velocity
$$ \class{blue}{v} $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$
Average velocity with which the charge carriers move along the Hall sample to the other pole.
Magnetic flux density (B-field)
$$ \class{violet}{B} $$ Unit $$ \mathrm{T} = \frac{\mathrm{kg}}{\mathrm{A} \, \mathrm{s}^2} $$
The magnetic field determines how strongly the charges are deflected due to the Hall effect and thus how large the Hall voltage is.
Distance
$$ h $$ Unit $$ \mathrm{m} $$
Distance of the edge of the Hall sample in which a negative excess charge is formed to the edge in which a positive excess charge is formed. In other words, it is effectively the height of the Hall sample.