Motion of Charged Particles in Field Uniform B-field E=0

Click For Summary
SUMMARY

The discussion focuses on the motion of charged particles in a uniform magnetic field with zero electric field (E=0), specifically regarding the calculation of perpendicular velocity without using the Larmor radius (rL) or angular frequency (omega). The participant seeks clarification on the concept of "perpendicular velocity" and its determination through vector operations such as cross products and dot products. The inquiry emphasizes a theoretical approach, avoiding the use of angles due to a lack of data, while the participant is concurrently engaged in AP Calculus and Physics C AP courses.

PREREQUISITES
  • Understanding of basic physics concepts related to charged particle motion
  • Familiarity with vector mathematics, including cross products and dot products
  • Knowledge of magnetic fields and their effects on charged particles
  • Basic calculus skills for theoretical analysis
NEXT STEPS
  • Study the concept of Larmor radius in detail to understand its implications in magnetic fields
  • Learn about the Lorentz force and its role in charged particle dynamics
  • Explore vector calculus applications in physics, focusing on cross products and their physical interpretations
  • Review theoretical frameworks in plasma physics, particularly the MIT OpenCourseWare resources on plasma motion
USEFUL FOR

Students in advanced high school physics courses, particularly those studying plasma physics or preparing for science research projects, as well as educators looking to enhance their understanding of charged particle dynamics in magnetic fields.

Eri ep
Messages
3
Reaction score
0
Hello!

So I've been working on proving to myself different parts of https://ocw.mit.edu/courses/nuclear...a-physics-i-fall-2003/lecture-notes/chap2.pdf packet for several weeks.

Under 2.1 Uniform B field, E=0, for the Larmor Radius, I need to know perpendicular v, but I want to figure it out in terms of anything except rL and omega.

I'm especially wondering what "perpendicular velocity" would mean and how to find it. I was thinking about cross products and dot products, but what would I cross with the velocity? I also don't know any angles, because right now I have no data- I'm just trying to do theoretical and trying to avoid angles.

It's late at night, thank you for helping me!
 
Physics news on Phys.org
Hi! I also wanted to say that I'm in AP Calculus right now, and in Physics C AP. This is for my science research project, so I'm willing to put in the time and effort to learn math/physics that I don't know yet, although I am in a really big time crunch.
 

Similar threads

(Help) Surface charge density (σ) for particle to hit plate...
  • · Replies 4 ·
Replies
4
Views
1K
Spring-mediated dipole in a magnetic field
  • · Replies 31 ·
2
Replies
31
Views
3K
Relativistic charged particle in a constant, uniform EM field
  • · Replies 3 ·
Replies
3
Views
2K
Circular trajectory traveled by a charged particle in a magnetic field
  • · Replies 3 ·
Replies
3
Views
2K
A Charged Particle moving in Uniform Magnetic Field
  • · Replies 2 ·
Replies
2
Views
2K
Function for the movement of a charged particle in a B field
  • · Replies 3 ·
Replies
3
Views
1K
Moving charge deflected by a loop of wire
  • · Replies 1 ·
Replies
1
Views
960
The electric field between two adjacent uniformly charged hemispheres
  • · Replies 5 ·
Replies
5
Views
2K
What is the magnetic field generated by these two particle beams?
  • · Replies 14 ·
Replies
14
Views
3K
Electrodynamics: charge of a particle
  • · Replies 25 ·
Replies
25
Views
2K