Enter the current (amps), the magnetic field (Teslas), the distance (m), and the density of mobile charges into the calculator to determine the Hall Voltage. 

Hall Voltage Formula

The following formula is used to calculate the Hall Voltage.

Vh = I*B/(n*e*d)
  • Where Vh is the Hall Voltage (volts)
  • I is the current (amps) 
  • B is the magnetic field (Teslas) 
  • n is the density of mobile charges (electron/m^3)
  • e is the electron charge (1.60217662 * 10^-19 coulombs)
  • d is the distance (m)

To calculate the Hall Voltage, divide the product of the current and magnetic field by the product of the density of mobile charges, electron charge, and distance.

How to Calculate Hall Voltage?

The following example problems outline how to calculate Hall Voltage.

Example Problem #1

  1. First, determine the current (amps). In this example, the current (amps) is determined to be 150 .
  2. Next, determine the magnetic field (Teslas). For this problem, the magnetic field (Teslas) is measured to be 4 .
  3. Next, determine the density of mobile charges. In this case, the density of mobile charges is found to be 120.
  4. Next, determine the distance. This is measured to be .005 m.
  5. Finally, calculate the Hall Voltage using the formula above: 

Vh = I*B/(n*e*d)

Inserting the values from above and solving the equation yields: 

Vh = 150*4/(120*1.602*10^-19*.005) = 6.24e21 (volts)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are:

current (amps) = 340

magnetic field (Teslas) = 4

density of mobile charges = 3

distance (m) = .0025

Enter these given values into the calculator or above yields: 

Vh = I*B/(n*e*d) = 1.1319e24 (volts)