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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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