Formula Hall Effect Hall voltage Hall constant Electric current Magnetic field Thickness
$$U_{\text H} ~=~ A_{\text H} \, \frac{I \, \class{violet}{B}}{d}$$ $$U_{\text H} ~=~ A_{\text H} \, \frac{I \, \class{violet}{B}}{d}$$ $$A_{\text H} ~=~ \frac{U_{\text H} \, d}{I \, \class{violet}{B}}$$ $$I ~=~ \frac{U_{\text H} \, d}{A_{\text H} \, \class{violet}{B}}$$ $$\class{violet}{B} ~=~ \frac{U_{\text H} \, d}{I \, A_{\text H}}$$ $$d ~=~ \frac{A_{\text H} \, I \, \class{violet}{B}}{U_{\text H}}$$
Hall voltage
$$ U_{\text H} $$ Unit $$ \mathrm{V} $$ This voltage is set between two ends of the Hall plate. The ends are perpendicular to the specified current direction.
Hall constant
$$ A_{\text H} $$ Unit $$ \frac{\mathrm{m}^3}{\mathrm{As}} $$ Hall constant is a material constant and depends on the material of the sample used. More precisely: It depends on the charge carrier density of the Hall plate and the polarity of the charge carriers.
Electric current
$$ I $$ Unit $$ \mathrm{A} $$ Electric current is the number of charges per second that pass through the Hall sample (between two ends).
Magnetic field
$$ \class{violet}{B} $$ Unit $$ \mathrm{T} = \frac{\mathrm{kg}}{\mathrm{A} \, \mathrm{s}^2} $$ Magnetic flux density tells how strong the external magnetic field is, which is applied perpendicular to the Hall sample (and thus to the current direction).
Thickness
$$ d $$ Unit $$ \mathrm{m} $$ Thickness of the sample in which the Hall effect is studied. This can be, for example, the thickness of a rectangular metal plate.