Friday, February 25, 2011

Gyro-frequency and gyro-radius- any takers?

Gyro frequency

Also known as the cyclotron frequency or Larmor frequency, the frequency of rotation of a charged particle or ion as it spirals a magnetic field.

The trajectory of a charged particle acted on solely by a magnetic force is a helix with its axis parallel to the magnetic induction. In any plane perpendicular to the magnetic induction the particle describes a circular orbit with gyro-frequency qB/m, where q is charge, m is mass, and B is the magnitude of magnetic induction.

Gyro-radius
The gyroradius is also known as radius of gyration, Larmor radius or cyclotron radius. It is the radius of the circular motion of a charged particle in the presence of a uniform magnetic field.

r = mv/qB

where is the gyro-radius, m is the mass of the charged particle, v is the velocity component perpendicular to the direction of the magnetic field, q is the charge of the particle, and B is the constant magnetic field.

K A Solaman

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