How to use the cyclotron radius calculator
Find radius and frequency of a charged particle in a magnetic field. Enter particle mass, charge, speed, magnetic field in the fields above; the orbit radius, cyclotron frequency are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- m — Particle mass (kg)
- q — Charge (C)
- v — Speed (m/s)
- B — Magnetic field (mT)
Worked example
With particle mass = 9.109e-31 kg, charge = 1.602e-19 C, speed = 1e6 m/s, magnetic field = 1 mT, the calculator gives orbit radius ≈ 5.686017 mm; cyclotron frequency ≈ 27.99058 MHz.
Frequently asked questions
What is the formula for the cyclotron radius calculation?
Orbit radius (mm) = m × v / (q × B / 1000) × 1000. Cyclotron frequency (MHz) = q × B / 1000 / (2 × π × m) / 1e6. Here m is particle mass (kg), q is charge (C), v is speed (m/s), B is magnetic field (mT).
What inputs do I need for the cyclotron radius calculator?
You need particle mass in kg, charge in C, speed in m/s, magnetic field in mT. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.