Hall Voltage Calculator

Hall Voltage Formula:

\[ V_h = \frac{H \times I}{R_H \times W} \]

Magnetic Field Strength (H):

A/m

Electric Current (I):

Hall Coefficient (R_H):

m³/C

Width of Semiconductor (W):

Hall Voltage (V_h):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is Hall Voltage?

Hall voltage is the voltage generated across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current. It was discovered by Edwin Hall in 1879.

2. How Does The Calculator Work?

The calculator uses the Hall voltage formula:

\[ V_h = \frac{H \times I}{R_H \times W} \]

Where:

\( V_h \) — Hall voltage (V)
\( H \) — Magnetic field strength (A/m)
\( I \) — Electric current (A)
\( R_H \) — Hall coefficient (m³/C)
\( W \) — Width of semiconductor (m)

Explanation: The Hall voltage is directly proportional to the magnetic field strength and current, and inversely proportional to the Hall coefficient and width of the semiconductor.

3. Importance Of Hall Voltage Calculation

Details: Hall voltage measurements are crucial for determining carrier concentration in semiconductors, measuring magnetic fields, and in various sensor applications including position sensing and current measurement.

4. Using The Calculator

Tips: Enter magnetic field strength in A/m, electric current in A, Hall coefficient in m³/C, and width of semiconductor in m. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Hall effect used for?
A: The Hall effect is used in various applications including magnetic field measurement, current sensing, position detection, and characterizing semiconductor materials.

Q2: How does temperature affect Hall voltage?
A: Temperature affects carrier concentration and mobility, which in turn affects the Hall coefficient and Hall voltage. Most semiconductors show significant temperature dependence.

Q3: What is the typical range of Hall voltages?
A: Hall voltages typically range from microvolts to millivolts depending on the material, current, and magnetic field strength.

Q4: Can Hall voltage be negative?
A: Yes, the sign of Hall voltage indicates the type of charge carriers (positive for holes, negative for electrons).

Q5: What materials exhibit the Hall effect?
A: All conductors and semiconductors exhibit the Hall effect, though it's most pronounced and useful in semiconductors.