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Larmor radius: Difference between revisions
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The Larmor radius is the radius of gyration of a charged particle moving in a magnetic field. | The Larmor radius is the radius of gyration of a charged particle moving in a magnetic field. | ||
Balancing the Lorentz Force | Balancing the [[:Wikipedia:Lorentz Force|Lorentz Force]] | ||
:<math>\vec F = q \vec v \times \vec B</math> | :<math>\vec F = q \vec v \times \vec B</math> | ||
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:<math>F = \frac{m v^2}{r}</math> | :<math>F = \frac{m v^2}{r}</math> | ||
one immediately obtains | |||
:<math>r_L = \frac{m}{q} \frac{v_\perp}{B}</math> | :<math>r_L = \frac{m}{|q|} \frac{v_\perp}{B}</math> | ||
where only the perpendicular component of the velocity (with respect to the magnetic field) enters. | where only the perpendicular component of the velocity (with respect to the magnetic field) enters. | ||
== See also == | |||
* [[:Wikipedia:Gyroradius]] | |||