VIDEOS 1 TO 50

29 Gyroradius

Published: 2016/02/26

Channel: John Weiss

04B Small Gyroradius Expansion | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

Gyroradius

Published: 2015/07/27

Channel: David Gerard - Topic

GYRORADIUS - HOW TO PRONOUNCE IT!?

Published: 2017/02/18

Channel: WordBox

Gyroradius

Published: 2016/01/22

Channel: WikiAudio

Cyclotron - Gyroradius

Published: 2014/01/08

Channel: Ben Wehunt

How to Pronounce Gyroradius

Published: 2015/08/13

Channel: Emma Saying

How to Pronounce Gyroradius

Published: 2015/03/07

Channel: Pronunciation Guide

How to pronounce Gyroradius

Published: 2016/01/02

Channel: How to pronounce

28 Right Hand Rule

Published: 2016/02/26

Channel: John Weiss

27 Meters

Published: 2016/02/24

Channel: John Weiss

30 Solenoids

Published: 2016/02/27

Channel: John Weiss

Magnetic mirror - Video Learning - WizScience.com

Published: 2015/09/17

Channel: Wiz Science™

impact plasma expansion

Published: 2012/04/04

Channel: fletchac

27 RC Circuits

Published: 2016/02/24

Channel: John Weiss

Week 1, Online Lecture 2: Orbits in Magnetic Fields II

Published: 2014/03/30

Channel: Physics 1C

Mandroid - Egyptian Boogaloo

Published: 2014/01/08

Channel: Ben Wehunt

29 Magnetic Force on a Wire

Published: 2016/02/26

Channel: John Weiss

L-shell - Video Learning - WizScience.com

Published: 2015/09/10

Channel: Wiz Science™

30 Ampere's Law

Published: 2016/02/27

Channel: John Weiss

04A Orbits In E-B Fields | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

BECLOGGING - HOW TO PRONOUNCE IT!?

Published: 2017/02/18

Channel: WordBox

DNUOS - HOW TO PRONOUNCE IT!?

Published: 2017/02/18

Channel: WordBox

University Challenge S46E20 Emmanuel - Cambridge vs SOAS

Published: 2016/11/28

Channel: psimanjuntak

"Introduction to Plasma Astrophysics I" - Eliot Quataert

Published: 2016/07/19

Channel: Institute for Advanced Study

SPREADSHEAT - HOW TO PRONOUNCE IT!?

Published: 2017/02/18

Channel: WordBox

Should Google Go Nuclear? Clean, cheap, nuclear power...

Published: 2007/10/09

Channel: GoogleTechTalks

James D. Callen: Fluid and transport modeling of plasmas 1: collisional plasma kinetics, solutions

Published: 2015/08/06

Channel: Centre International de Rencontres Mathématiques

Frontiers of Radiative...Magnetic Reconnection - Dmitri A. Uzdensky

Published: 2016/10/12

Channel: Institute for Advanced Study

28 Magnetic Force

Published: 2016/02/24

Channel: John Weiss

03A Single Particle Orbits | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

02A Criteria For Plasma State | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

09A Plasma Oscillations | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

CS101_LH8_Applications of Two-Dimensional Arrays

Published: 2017/06/08

Channel: Lucius Fox

22A Landau Damping | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

3D plasma cloud expansion above the equator (simulation).avi

Published: 2011/11/01

Channel: David Osipyan

Use of Light in the Child's Development

Published: 2017/07/07

Channel: Saleh Theory-com

26B Plasma Turbulence | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

How to Pronounce Radii

Published: 2015/06/08

Channel: Pronounce It

f gvb

Published: 2014/03/31

Channel: Kenny Townsend

05A Particle Bounce-Drift Motions | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

BERTOLIO - HOW TO PRONOUNCE IT!?

Published: 2017/02/18

Channel: WordBox

28B Magnetic Mirrors | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

Cyclotron- Proton Therapy

Published: 2014/01/09

Channel: Ben Wehunt

Agriculture Landwirtschaft Englisch Sprachkurse English language Altikon Altishofen Altwis

Published: 2016/08/29

Channel: English Communicator

27A Controlled Fusion | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

27B Fusion History | Introduction to Plasma Physics by J D Callen

Published: 2015/12/24

Channel: Lucius Fox

Sint - 3x Läutenv1

Published: 2014/01/07

Channel: Ben Wehunt

Perigee

Published: 2015/07/27

Channel: David Gerard - Topic

How to Pronounce Gossypiboma

Published: 2015/03/07

Channel: Pronunciation Guide

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. In SI units, the gyroradius is given by

where is the mass of the particle, is the component of the velocity perpendicular to the direction of the magnetic field, is the electric charge of the particle, and is the strength of the magnetic field.^{[1]}

The angular frequency of this circular motion is known as the **gyrofrequency**, or **cyclotron frequency**, and can be expressed as

in units of radians/second.^{[1]}

It is often useful to give the gyrofrequency a sign with the definition

or express it in units of Hertz with

- .

For electrons, this frequency can be reduced to

- .

In cgs units, the gyroradius is given by

and the gyrofrequency is

- ,

where is the speed of light in vacuum.

For relativistic particles the Lorentz factor must be included:

- .

For calculations in accelerator and astroparticle physics, the formula for the gyroradius can be rearranged to give

- ,

where is the speed of light, is the unit of Giga-electronVolts, and is the elementary charge.

If the charged particle is moving, then it will experience a Lorentz force given by

- ,

where is the velocity vector and is the magnetic field vector.

Notice that the direction of the force is given by the cross product of the velocity and magnetic field. Thus, the Lorentz force will always act perpendicular to the direction of motion, causing the particle to gyrate, or move in a circle. The radius of this circle, , can be determined by equating the magnitude of the Lorentz force to the centripetal force as

- .

Rearranging, the gyroradius can be expressed as

- .

Thus, the gyroradius is directly proportional to the particle mass and perpendicular velocity, while it is inversely proportional to the particle electric charge and the magnetic field strength. The time it takes the particle to complete one revolution, called the period, can be calculated to be

- .

Since the period is the reciprocal of the frequency we have found

and therefore

- .

- ^
^{a}^{b}Chen, Francis F. (1983).*Introduction to Plasma Physics and Controlled Fusion, Vol. 1: Plasma Physics, 2nd ed*. New York, NY USA: Plenum Press. p. 20. ISBN 0-306-41332-9.

None of the audio/visual content is hosted on this site. All media is embedded from other sites such as GoogleVideo, Wikipedia, YouTube etc. Therefore, this site has no control over the copyright issues of the streaming media.

All issues concerning copyright violations should be aimed at the sites hosting the material. This site does not host any of the streaming media and the owner has not uploaded any of the material to the video hosting servers. Anyone can find the same content on Google Video or YouTube by themselves.

The owner of this site cannot know which documentaries are in public domain, which has been uploaded to e.g. YouTube by the owner and which has been uploaded without permission. The copyright owner must contact the source if he wants his material off the Internet completely.

Wikipedia content is licensed under the GFDL and (CC) license