Hall Voltage Calculator

About this calculator

This calculator finds the Hall voltage, V_H = IB / (nqt), produced across a current-carrying conductor placed in a perpendicular magnetic field, where I is the current, B is the magnetic field strength, n is the charge carrier density, q is the elementary charge, and t is the conductor's thickness. The Hall effect arises because the magnetic field deflects moving charge carriers sideways (via the Lorentz force) until an electric field builds up that balances the deflection — the sign of V_H even reveals whether the majority carriers are electrons or holes.

Solid-state physics students and semiconductor engineers use Hall voltage measurements to determine carrier concentration and mobility in materials, and the same principle underlies Hall effect sensors used for contactless current sensing and position/speed detection in industrial and automotive electronics. Enter current, magnetic field, carrier density and conductor thickness to get the Hall voltage.