# Formula: Hall Effect Hall Voltage    Electric current    Magnetic flux density (B-field)    Thickness    Charge carrier density (Particle density)

## Hall Voltage

Unit
This voltage is generated between the two ends (e.g. of the metal plate used in the Hall effect).

## Electric current

Unit
Electric current generated by applying a voltage (not Hall voltage!) along the Hall plate. The charge carrier current is deflected in the magnetic field to the upper or lower part of the Hall plate.

## Magnetic flux density (B-field)

Unit
Magnetic flux density determines the strength of the magnetic field applied orthogonally to the Hall plate. The larger $$\class{violet}{B}$$, the greater the deflection of the charges, resulting in a larger Hall voltage.

## Thickness

Unit
Thickness of the Hall sample in which the Hall effect is investigated. This can be, for example, the thickness of a rectangular metal plate.

## Electric charge

Unit
Electric charge of a charge carrier. If the current consists mainly of electrons, then: $$q ~=~ -e$$ ($$e$$ is the elementary charge). And in the case of hole conduction: $$q ~=~ +e$$.

## Charge carrier density

Unit
Charge carrier density indicates the number of charge carriers per volume. The greater the charge carrier density, the lower the Hall voltage.

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