Cyclotron Frequency Calculator
Compute the cyclotron frequency f = qB/(2πm) of a charged particle.
Input Data
Charge C
C
Magnetic Field T
T
Mass Kg
kg
Velocity Ms
m/s
Results
f in MHz.
15.267438MHz
f = qB/(2πm).
15,267,438.2535Hz
ω = qB/m.
95,928,143.7126rad/s
T = 2πm/(qB).
0.0000000655s
r = mv/(qB).
0m
At a glance:f = qB/(2πm); ω = qB/m; r = mv/(qB). Complements cyclotron-radius and lorentz-force.
Formula
f = q·B / (2π·m).
$$\omega = \frac{qB}{m}, \quad f = \frac{qB}{2\pi m}$$$$r = \frac{mv}{qB}$$How to Use
- Enter charge, field and mass (and velocity).
- The tool returns frequency, period and radius.
Case Studies
electron, B=1 T
f ≈ 27.99 GHz.
FAQ
Independent of speed?
f and T depend only on q, B, m — not on velocity (relativistic effects aside).
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.