Formula: Hall Effect Hall voltage Hall constant Electric current Magnetic flux density (B-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
$$ \class{red}{\boldsymbol I} $$ Unit $$ \mathrm{A} $$
Electric current is the number of charges per second that pass through the Hall sample (between two ends).
Magnetic flux density (B-field)
$$ \class{violet}{B} $$ Unit $$ \mathrm{T} $$
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.