Formula Hall Effect Hall voltage Hall constant Electric current Magnetic flux density 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 \( \frac{\text{m}^3}{\text C} \) 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 flux density
\( \class{violet}{B} \) 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.