Changing kinetic E of charged particle in magnetic field - Halbach array

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SUMMARY

The discussion centers on the behavior of charged particles, specifically electrons, in a magnetic field, particularly within a Halbach array. It is established that while a magnetic field can change the direction of an electron, it does not directly alter its kinetic energy unless work is done on the particle. The force acting on a moving charged particle in a magnetic field is described by the Lorentz force equation, which utilizes the cross-product of velocity and magnetic field vectors. Additionally, the phenomenon of cyclotron radiation is mentioned, indicating that changing the direction of an electron can lead to energy loss, thereby affecting its kinetic energy.

PREREQUISITES
  • Understanding of Lorentz force and its mathematical representation
  • Familiarity with the concept of cyclotron radiation
  • Knowledge of Halbach arrays and their applications in particle acceleration
  • Basic principles of electromagnetism and charged particle dynamics
NEXT STEPS
  • Study the Lorentz force equation in detail
  • Research the principles of cyclotron radiation and its implications for particle energy
  • Explore the design and function of Halbach arrays in particle accelerators
  • Investigate the mechanics of free electron lasers and their operational principles
USEFUL FOR

Physicists, engineering students, and anyone interested in the dynamics of charged particles in electromagnetic fields, particularly in the context of particle acceleration and radiation effects.

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changing kinetic E of charged particle in magnetic field -- Halbach array

hi, I read somewhere that you can't change a charged particle's (we'll say electron) kinetic energy with a strong magnetic field, that you only change the electron's direction. I'm assuming a frictionless environment. This is a silly question, I just wanted to make sure, thanks!
 
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To change its KE, you would have to do work on it, right? In what direction is the force on a moving charged particle due to a magnetic field? What cross-product equation describes this force? What about the cross product provides the answer to your question?

I'm moving this to the Homework Help forums, BTW, since it is coursework.
 


ok, you know about the free electron laser right? aka the wiggler? More precisely, I want to know if the particle accelerated through the halbach array slows slows down
 


From the description of the array, it doesn't look like it would change the speed of the particle, but I don't know for sure. I'll move this to Advanced Physics and change the thread title to get some better views.
 


thanks!
 


Hi...
If you change the direction of an electron (for example with a magnetic field) it generates radiation and so its kinetic energy changed (it slows down).
 


Final said:
Hi...
If you change the direction of an electron (for example with a magnetic field) it generates radiation and so its kinetic energy changed (it slows down).

Ah, good point. Like cyclotron radiation:

http://en.wikipedia.org/wiki/Cyclotron_radiation
 

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