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Hall Voltage Calculator

Calculate Hall voltage instantly using our free Hall Voltage Calculator. Enter magnetic field, current, carrier density, and thickness to get accurate results.

A Hall Voltage Calculator helps you find the Hall voltage produced in a conductor or semiconductor when a magnetic field is applied. This tool is widely used in physics, electronics, and engineering. We developed this online Hall Voltage calculator so users can calculate Hall voltage instantly without manual formulas or unit confusion.

This calculator is useful for students, researchers, and engineers who want fast and accurate results. It supports multiple units and shows the final result in volts with high precision.

What Is Hall Voltage?

Hall voltage is the voltage difference created across a current-carrying conductor when it is placed in a magnetic field perpendicular to the current flow. This phenomenon is known as the Hall Effect.

Hall voltage helps determine important properties such as charge carrier density, type of charge carriers, and magnetic field strength. It is commonly used in Hall sensors, current sensors, and magnetic field measurement devices.

Hall Voltage Formula

The Hall voltage is calculated using the standard physics formula:

Hall Voltage = (Magnetic Field × Current) ÷ (Charge Carrier Density × Elementary Charge × Thickness)

Written mathematically:

Vₕ = (B × I) / (n × e × t)

Where

  • Vₕ is the Hall voltage in volts
  • B is the magnetic field strength in tesla
  • I is the current in ampere
  • n is the charge carrier density per cubic meter
  • e is the elementary charge equal to 1.602 × 10⁻¹⁹ coulomb
  • t is the thickness of the material in meters

This is the 100% accurate and globally accepted Hall voltage formula used in physics textbooks and laboratories.

How Our Online Hall Voltage Calculator Works

Our Hall Voltage calculator automatically applies the correct formula and converts all values into SI units before calculation. This removes human error and saves time.

Step 1: Enter Magnetic Field

Input the magnetic field value and select the unit such as Tesla, milliTesla, microTesla, or Gauss.

Step 2: Enter Current

Enter the electric current flowing through the material. You can choose units like ampere, milliampere, or microampere.

Step 3: Enter Charge Carrier Density

Provide the carrier concentration of the material. The calculator supports values in m⁻³, cm⁻³, and mm⁻³.

Step 4: Enter Thickness

Enter the thickness of the conductor or semiconductor. Units such as meters, millimeters, micrometers, and nanometers are supported.

Step 5: Click Calculate

The calculator instantly computes the Hall voltage and displays the result in volts along with detailed calculation steps.

Example Hall Voltage Calculation

Let’s understand the calculation with a simple example.

Magnetic field B = 0.5 Tesla

Current I = 2 Ampere

Charge carrier density n = 8 × 10²⁸ m⁻³

Thickness t = 0.001 meter

Hall Voltage = (0.5 × 2) ÷ (8 × 10²⁸ × 1.602 × 10⁻¹⁹ × 0.001)

Hall Voltage = 1 ÷ (1.2816 × 10⁷)

Hall Voltage ≈ 7.8 × 10⁻⁸ volts

This small voltage value is normal in Hall effect measurements and is accurately handled by our calculator.

Why Use Our Hall Voltage Calculator?

Our calculator is designed for accuracy and ease of use. It eliminates complex manual calculations and unit conversions. The tool is ideal for physics experiments, academic learning, and engineering applications.

It works directly in your browser and provides instant results with scientific precision.

Final Verdict

The Hall Voltage Calculator is a reliable and easy-to-use tool for calculating Hall voltage accurately. It uses the correct Hall effect formula, supports multiple units, and displays clear results. Whether you are a student, teacher, or engineer, this calculator helps you save time and avoid errors.

If you want a fast and accurate way to calculate Hall voltage, this tool is the perfect solution.

FAQs

What is Hall voltage used for?

Hall voltage is used to measure magnetic fields, identify charge carrier type, and determine carrier density in materials.

What unit is Hall voltage measured in?

Hall voltage is measured in volts.

Can Hall voltage be negative?

Yes, the sign of Hall voltage depends on whether the charge carriers are electrons or holes.

Is Hall voltage usually very small?

Yes, Hall voltage values are typically very small, often in microvolts or nanovolts.

Does this calculator work for semiconductors?

Yes, the calculator works for both conductors and semiconductors.