Hall Effect Voltage

The Hall effect refers to the generation of a potential difference (Hall voltage) across an electrical conductor through which an electric current is flowing, when a magnetic field is applied perpendicular to the current. In this formula:

• I is the current flowing through the conductor (in amperes).
• B is the magnetic field (in teslas).
• n is the charge carrier density (in carriers per cubic meter).
• t is the thickness of the conductor (in meters).
• V_H is the Hall voltage across the conductor (in volts).

The equation is derived from the Lorentz force and is a fundamental principle for magnetic field sensing applications, such as in Hall effect sensors, which are widely used for proximity sensing, positioning, speed detection, and current sensing applications.