What this calculator does
Cyclotron Frequency works out orbital frequency of a charged particle circling in a uniform magnetic field. 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
The inputs explained
| Field | What to enter |
|---|---|
| Particle charge (electron ≈ 1.602176634e-19) (C) | A number, measured in C. Starts at 1.602176634e-19. |
| Magnetic field strength (T) | A number, measured in T. Starts at 1. |
| Particle mass (electron ≈ 9.1093837015e-31) (kg) | A number, measured in kg. Starts at 9.1093837015e-31. |
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 particle charge (electron ≈ 1.602176634e-19)
Every other input is held at the calculator’s starting values while particle charge (electron ≈ 1.602176634e-19) varies. Select any row to load that scenario into the calculator.
| Particle charge (electron ≈ 1.602176634e-19) (C) | Cyclotron frequency (f) | Angular frequency (ω) | Orbital period |
|---|---|---|---|
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |
| 0 | 0.0000e+0 Hz | 0.0000e+0 rad/s | N/A (frequency is zero) |