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

In summary, the conversation discusses the possibility of changing the kinetic energy of a charged particle, specifically an electron, in a strong magnetic field. The use of a Halbach array, a type of magnetic structure, is considered, but it is concluded that changing the direction of the particle would only result in a change in its kinetic energy due to the generation of radiation. The concept of cyclotron radiation is also mentioned.
  • #1
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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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  • #2


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.
 
  • #3


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
 
  • #4


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.
 
  • #5


thanks!
 
  • #6


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).
 
  • #7


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
 

1. How does a Halbach array change the kinetic energy of a charged particle in a magnetic field?

A Halbach array is a special arrangement of permanent magnets that creates a strong, uniform magnetic field in a specific direction. When a charged particle moves through this magnetic field, it experiences a force that changes its direction of motion. This change in direction results in a change in the particle's kinetic energy.

2. What factors affect the change in kinetic energy of a charged particle in a magnetic field?

The magnitude of the change in kinetic energy of a charged particle in a magnetic field depends on several factors, including the strength of the magnetic field, the speed of the particle, and the mass and charge of the particle. Additionally, the orientation and design of the Halbach array can also affect the change in kinetic energy.

3. Can a Halbach array be used to accelerate charged particles?

Yes, a Halbach array can be used to accelerate charged particles. By properly arranging the magnets in the array, a strong and uniform magnetic field can be created that can accelerate charged particles as they move through it. This is commonly used in particle accelerators for scientific research purposes.

4. What role does the polarity of the magnets in a Halbach array play in changing the kinetic energy of a charged particle?

The polarity of the magnets in a Halbach array is crucial in changing the kinetic energy of a charged particle. The specific arrangement of the magnets creates a strong and uniform magnetic field in a specific direction, which determines the direction and magnitude of the force experienced by the charged particle. Thus, the polarity of the magnets plays a critical role in the overall design and function of the Halbach array.

5. How is the Halbach array different from a traditional magnetic field in changing the kinetic energy of a charged particle?

The Halbach array is different from a traditional magnetic field in several ways. Firstly, the Halbach array creates a strong and uniform magnetic field in a specific direction, while traditional magnetic fields may vary in strength and direction. Additionally, the Halbach array can be designed to have a specific shape and orientation, allowing for greater control over the motion of charged particles. Finally, the Halbach array can produce a more efficient change in kinetic energy compared to traditional magnetic fields, making it useful in various scientific applications.

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