How Does a Charged Particle Move in a Magnetic Field?

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SUMMARY

The discussion centers on the motion of a charged particle in a magnetic field, specifically how it drifts along the field direction while also having initial velocities in both the y and z directions. The author clarifies that despite the particle's xz velocities, its average position over the cyclotron period (m/qB) remains unchanged in the xz plane, with potential displacement along the y direction based on its y velocity. This understanding is crucial for accurately interpreting the dynamics of charged particles in magnetic fields.

PREREQUISITES
  • Understanding of charged particle dynamics
  • Familiarity with magnetic fields and their properties
  • Knowledge of cyclotron motion and its mathematical representation
  • Basic concepts of velocity components in three-dimensional space
NEXT STEPS
  • Study the mathematical derivation of cyclotron motion
  • Learn about the Lorentz force and its effects on charged particles
  • Explore the concept of magnetic confinement in plasma physics
  • Investigate the applications of charged particle motion in particle accelerators
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism or plasma physics will benefit from this discussion, particularly those interested in the behavior of charged particles in magnetic fields.

delve
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Here is an excerpt from a book: Notice also how the charged particle is captured by the magnetic field, just drifting along the field direction. In my book, the field direction is in the y-direction, but the in addition to the particle having an initial y velocity, it had an initial z velocity as well. So it seems to me that the particle is drifting not in the direction of the field, but traveling in yz space. Am I understanding this right? Thank you.
 
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What the author is talking about is probably the fact that *averaging* the particles position over its cyclotron period (m/qB), it really has not changed it's xz position even though it has xz velocity. However, it may have been displaced along the y direction (field line), depending on its velocity in the y direction.
 
I understand now, thank you
 

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