What this calculator does
Hall Coefficient works out charge-carrier density and sign in a conductor from a measured Hall voltage. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
FormulaRH = VH·t / (I·B) = 1/(n·q)
The inputs explained
| Field | What to enter |
|---|---|
| Hall voltage (VH) (μV) | A number, measured in μV. Starts at 5. |
| Conductor thickness (mm) | A number, measured in mm. Starts at 0.5. |
| Current (I) (A) | A number, measured in A. Starts at 2. |
| Magnetic field (B) (T) | A number, measured in T. Starts at 0.4. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with hall voltage (vh)
Every other input is held at the calculator’s starting values while hall voltage (vh) varies. Select any row to load that scenario into the calculator.
How the answer changes with hall voltage (vh)
| Hall voltage (VH) (μV) | Hall coefficient (RH) | Carrier concentration (n) | Carrier sign |
|---|---|---|---|
| 2.5 | 1.5625e-9 m³/C | 3.9946e+27 /m³ | Positive (holes) |
| 3.75 | 2.3437e-9 m³/C | 2.6630e+27 /m³ | Positive (holes) |
| 5 | 3.1250e-9 m³/C | 1.9973e+27 /m³ | Positive (holes) |
| 7.5 | 4.6875e-9 m³/C | 1.3315e+27 /m³ | Positive (holes) |
| 10 | 6.2500e-9 m³/C | 9.9864e+26 /m³ | Positive (holes) |
| 15 | 9.3750e-9 m³/C | 6.6576e+26 /m³ | Positive (holes) |