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.

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## 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**

- First, determine the current (amps). In this example, the current (amps) is determined to be 150 .
- Next, determine the magnetic field (Teslas). For this problem, the magnetic field (Teslas) is measured to be 4 .
- Next, determine the density of mobile charges. In this case, the density of mobile charges is found to be 120.
- Next, determine the distance. This is measured to be .005 m.
- 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)