Cyclotron Radius Calculator
Compute the gyroradius r = mv/(qB) of a charged particle in a magnetic field.
Input Data
Mass Kg
kg
Velocity Ms
m/s
Charge C
C
Magnetic Field T
T
Results
r in mm.
0.568563mm
r = mv/(qB).
0.000568563m
f = qB/(2πm).
279,924,898.769424Hz
T = 1/f.
0.0000000036s
v²/r.
1,758,820,011,061,780.2m/s²
At a glance:r = mv/(qB); f = qB/(2πm). Complements cyclotron-frequency and lorentz-force.
Formula
r = m·v / (q·B).
$$r_g = \frac{m\,v}{|q|\,B}$$$$f_c = \frac{|q|\,B}{2\pi m}, \quad T_c = \frac{1}{f_c}$$How to Use
- Enter mass, velocity, charge and field.
- The tool returns radius and motion params.
Case Studies
electron v=1e6, B=0.01
r ≈ 0.57 mm.
FAQ
Why smaller radius with B?
Stronger field bends the path more tightly.
Related Tools
References
Content review: Calculatorism Editorial Team. Results are for reference only; please refer to the relevant authorities for the official figures.