Exploring Particle Movement in a Magnetic Field

In summary, the author discusses the movement of a charged particle in a magnetic field and how it can drift along the field direction. They also mention that the particle's velocity in the y-direction can cause it to move in yz space, rather than following the direction of the field. Finally, they clarify that averaging the particle's position over its cyclotron period may not change its xz position, but it may be displaced along the y direction depending on its velocity.
  • #1
delve
34
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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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  • #2
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.
 
  • #3
I understand now, thank you
 

Q: What is a magnetic field?

A magnetic field is an area of space where magnetic forces are present. It is created by the movement of charged particles, such as electrons, and can be detected by the force it exerts on other charged particles.

Q: How do particles move in a magnetic field?

Particles move in a magnetic field due to the force of the field on their charge. Charged particles will experience a force perpendicular to their direction of motion when moving through a magnetic field, causing them to move in circular or helical paths.

Q: What is the relationship between particle charge and motion in a magnetic field?

The magnitude of the force experienced by a particle in a magnetic field is directly proportional to its charge. This means that particles with a greater charge will experience a stronger force and therefore move in a tighter radius.

Q: How can we measure particle movement in a magnetic field?

Particle movement in a magnetic field can be measured using a variety of tools such as a magnetic compass, a Hall effect sensor, or a magnetometer. These tools can detect changes in the magnetic field caused by the movement of charged particles.

Q: What are some real-life applications of studying particle movement in a magnetic field?

Studying particle movement in a magnetic field has many practical applications, including in medical imaging, particle accelerators, and the development of new technologies such as magnetic levitation trains. It also helps us better understand the behavior of charged particles in space, such as the solar wind.

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