The gyroradius (also known as radius of gyration, Larmor radius or cyclotron radius) is the radius of the circular motion of a charged particle in the presence of a uniform magnetic field.
where
-
- is the gyroradius,
- is the mass of the charged particle,
- is the velocity component perpendicular to the direction of the magnetic field,
- is the charge of the particle, and
- is the constant magnetic field.
(All units are in SI)
Similarly, the frequency of this circular motion is known as the gyrofrequency or cyclotron frequency, and is given in radian/second by:
and in Hz by:
For electrons, this works out to be
Read more about Gyroradius: Relativistic Case, Derivation