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Electricity & Magnetism
VH=BIdnqAV_H = \frac{BId}{nqA}

Voltage developed across conductor in magnetic field due to Hall effect.

Variables

V_H
Hall voltage
Transverse voltage
V
B
Magnetic field
Applied field
T
I
Current
Current through conductor
A
d
Width
Width of conductor
m
n
Carrier density
Charge carriers per volume
m⁻³
q
Charge
Carrier charge
C
A
Cross-section
Cross-sectional area
m²

Derivation

From balance of electric and magnetic forces on charge carriers: qE = qv_d B.

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Common questions

What is the Hall Voltage formula?

Hall Voltage is written Vₕ = BId/nqA. Voltage developed across conductor in magnetic field due to Hall effect. It belongs to Electricity & Magnetism, under Magnetism.

What are the units in Vₕ = BId/nqA?

In SI units, V_H is hall voltage, measured in kg·m²/(A·s³); B is magnetic field, measured in kg/(A·s²); I is current, measured in A; d is width, measured in m; n is carrier density, measured in m⁻³; q is charge, measured in A·s; A is cross-section, measured in m².

How is the Hall Voltage formula derived?

From balance of electric and magnetic forces on charge carriers: qE = qv_d B. The result is Vₕ = BId/nqA.