Hall Effect Calculator: Hall Voltage and Carrier...
Calculate the Hall voltage and charge carrier concentration in a conductor or semiconductor using the Hall effect formula. Essential for semiconductor physics and...
What is the Hall Effect?
The Hall effect occurs when a current-carrying conductor is placed in a magnetic field perpendicular to the current flow. The Lorentz force deflects charge carriers sideways, creating a measurable transverse voltage (Hall voltage). Discovered by Edwin Hall in 1879, it is the standard method for determining the type (n or p) and concentration of charge carriers in semiconductors.
🧲 Hall Effect Calculator
Use our free calculator for instant, accurate results.
📐 Formula
V_H = (I × B) / (n × q × t)
I = current (A), B = magnetic field (T), n = carrier density (m⁻³), q = 1.6×10⁻¹⁹ C, t = thickness of conductor (m). V_H in Volts.
📝 Worked Example
Current = 0.01 A, B = 0.5 T, t = 1mm, n (copper) = 8.5×10²⁸ m⁻³:
V_H = (0.01 × 0.5) / (8.5×10²⁸ × 1.6×10⁻¹⁹ × 0.001)
V_H ≈ 3.7 × 10⁻⁷ V (0.37 μV)
Very small for metals, measurable in semiconductors.
📝 How to Use the Calculator
❓ FAQ
How does the Hall effect identify n-type vs p-type semiconductors?
The sign of the Hall voltage tells you the carrier type. Positive Hall coefficient = positive carriers (p-type holes); negative = electrons (n-type).
What is the quantum Hall effect?
At very low temperatures and high magnetic fields, Hall resistance becomes quantized in exact multiples of h/e² — a fundamental constant used in metrology.
Veer Kumavat
Founder & AuthorVeer is a 14-year-old student from Nashik, Maharashtra, who built SciFi Calculators to help students worldwide master STEM subjects. He is passionate about making complex science and math problems accessible through intuitive digital tools.