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Formula Hall Effect Hall Voltage    Electric current    Magnetic field    Thickness    Charge carrier density

Formula: Hall Effect
Hall effect with Electrons and Holes

Hall Voltage

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

Electric current

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 field

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 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

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

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