In a particle accelerator

In summary: The point is that it is a force prependicular to velocity. That means that it compels the particle to travel in a circle. Equate it to the formula for the centrifugal force.umm...
  • #1
Lorax
42
0
Heres one more question


In a particle accelerator, an alpha particle with a mass of 6.64 x10^-27 kg is moving with a speed of 2.50x10^7 m/s. It is moving perpendicularily through a magnetic field of intensity 0.150 T. Using appropriote equations and method find the radius of curvature of its path.

I'm completely stumped on this HW question due tomorrow, I'm looking through my notes for an equation for this. Also I have no idea how to find the radius of the curvature.

PLEASE HELP.
 
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  • #2
Lorax said:
Heres one more question


In a particle accelerator, an alpha particle with a mass of 6.64 x10^-27 kg is moving with a speed of 2.50x10^7 m/s. It is moving perpendicularily through a magnetic field of intensity 0.150 T. Using appropriote equations and method find the radius of curvature of its path.

I'm completely stumped on this HW question due tomorrow, I'm looking through my notes for an equation for this. Also I have no idea how to find the radius of the curvature.

PLEASE HELP.

HINT:The particle moves in a circle.The Lorentz magnetic force is a centripetal force.

Daniel.
 
  • #3
umm...

what's the formula for the lorentz magnetic force? I thought it was like...

F=qv+B

I don't see how that helps. Could you help me out a bit more? I need to get this one before tonight.
 
  • #4
The point is that it is a force prependicular to velocity. That means that it compels the particle to travel in a circle. Equate it to the formula for the centrifugal force.
 
  • #5
Lorax said:
umm...

what's the formula for the lorentz magnetic force? I thought it was like...

F=qv+B

I don't see how that helps. Could you help me out a bit more? I need to get this one before tonight.

Nope,it's
[tex] \vec{F}_{mag,L}=q\vec{v}\times\vec{B} [/tex]
The centripetal force is:
[tex] \vec{F}_{cp}=\frac{m\vec{v}^{2}}{r^{2}}\vec{r} [/tex]


Daniel.
 

What is a particle accelerator?

A particle accelerator is a scientific instrument that accelerates and collides particles at extremely high speeds. It is used to study the fundamental structure of matter and to create new particles for research purposes.

How does a particle accelerator work?

A particle accelerator uses electromagnetic fields to accelerate particles, such as protons or electrons, to near the speed of light. These particles are then directed into collisions with other particles, allowing scientists to study the resulting interactions.

What are the benefits of using a particle accelerator?

Particle accelerators have a wide range of applications, including medical treatments, material science research, and understanding the origins of the universe. They have also led to advancements in technology, such as the development of the World Wide Web.

Are there different types of particle accelerators?

Yes, there are many different types of particle accelerators, including linear accelerators, circular accelerators, and synchrotrons. Each type has its own unique capabilities and is used for different purposes in scientific research.

What are some of the challenges in building and operating a particle accelerator?

Particle accelerators require advanced technology and precision in order to function properly. They also require a significant amount of energy and can be expensive to build and operate. Safety measures must also be in place to protect researchers and the surrounding environment.

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