Hall Voltage
Voltage developed across conductor in magnetic field due to Hall effect.
Variables
Derivation
From balance of electric and magnetic forces on charge carriers: qE = qv_d B.
Your notes
Check value
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- B = 2 T (Magnetic field)
- I = 3 A (Current)
- d = 4 m (Width)
- n = 5 m⁻³ (Carrier density)
- q = 6 C (Charge)
- A = 7 m² (Cross-section)
Result: VH = 0.11428571 V
Other electricity & magnetism formulas with the same quantities
- Magnetic Force on Wire (Magnetism) shares Magnetic field, Current
- Magnetic Field (Long Wire) (Magnetism) shares Magnetic field, Current
- Magnetic Field (Solenoid) (Magnetism) shares Magnetic field, Current
- Cyclotron Frequency (Magnetism) shares Charge, Magnetic field
- Cyclotron Radius (Magnetism) shares Charge, Magnetic field
- Biot-Savart Law (Magnetism) shares Current
Where this formula is listed
- Electricity & Magnetism formulas, under Magnetism, alongside Energy Density (Magnetic Field) and Ampere's Law.
- In the electricity & magnetism list it comes after Cyclotron Radius and before Ampere's Law.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Hall Voltage formula?
Hall Voltage is written V_H = 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 V_H = 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 V_H = BId/(nqA).