What is the formula for Hall Coefficient?

The Hall Coefficient formula is RH = 1 / (n × q) (sign gives carrier type), where RH—Hall coefficient (m³/C); n—Charge-carrier density (1/m³); q—Carrier charge (C, ≈1.602×10⁻¹⁹).

What does RH mean in the Hall Coefficient formula?

RH is Hall coefficient (m³/C).

Hall Coefficient

Q: How do you calculate Hall Coefficient?

Use the formula RH = 1 / (n × q) (sign gives carrier type). The Hall coefficient relates the Hall voltage measured across a current-carrying conductor in a magnetic field to the carrier density and charge. Enter the values you know in the calculator above and it solves for the remaining variable.

RH = 1 / (n · q)

Calculator

Hall Coefficient

Carrier Density

Carrier Charge

Result

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Formula

RH = 1 / (n × q) (sign gives carrier type)

Description

The Hall coefficient relates the Hall voltage measured across a current-carrying conductor in a magnetic field to the carrier density and charge. Its magnitude reveals how many charge carriers there are per unit volume, and its sign tells whether conduction is by electrons or holes. It is the standard way to characterise semiconductors and Hall-effect sensors.

Variables

RH — Hall coefficient (m³/C)
n — Charge-carrier density (1/m³)
q — Carrier charge (C, ≈1.602×10⁻¹⁹)

Practical Notes

A large Hall coefficient (low carrier density) gives a big, easy-to-measure Hall voltage—which is why Hall sensors use lightly-doped semiconductors rather than metals.

Related Concepts

All Fields & Electromagnetism formulas →

Coulomb’s Law Electric Field of a Point Charge Electric Potential of a Point Charge Gauss’s Law (Electric Flux) Lorentz Magnetic Force Force on a Current-Carrying Wire Force Between Parallel Wires Magnetic Field of a Straight Wire

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