Date: Fri Aug 27 10:16:42 1999
Posted By: Georg Hager, Grad student, Theoretical Particle Physics
Area of science: Physics
Greetings! Sorry that this is so late.
You ask how big (or small) the magnets of a ten-inch cyclotron would
have to be. That depends on several factors:
Assuming that you can assure the homogeneity of the magnetic field and
the proper frequency stability of your RF source, you should be able
to calculate the necessary magnetic field strength for your setup
(just equal the Lorentz force on the particles with the centripetal
force due to the circular motion). The angular frequency, for
instance, would be qB/m, where q is the charge of
the particles, B is the field strength and m is the
particle mass. Knowing roughly the frequency of your AC source,
you can come up with the field strength (for relativistic particle
velocities, of course, you are in a bit of trouble here due to the
relativistic mass increase; let us just assume that the velocities
you wish to attain are less than 0.1c).
- What kind of particles are accelerated in the cyclotron?
- To what maximum energy do you want to accelerate them?
- What are the other boundary conditions that have to be taken into
account? (like maxiumum AC frequency, maximum amplitude etc.)
Of course, your magnets would have to have at least the diameter of
your cyclotron `D's, because you want the magnetic field to extend
through all the space the particles might traverse. So the real
question is, are you able to build magnets that can provide the
required magnetic field strength and still have a homogeneous field?
Assuming that all you have at your disposal are usual copper wire coils
with currents of the order of amperes running through them, and maybe
iron cores with a magnetic susceptibility of roughly 1000, you might
be able to reach magnetic fields of the order of Teslas. That
should be about the limit for `home-made' equipment.
Some more info on a specific cyclotron can be seen at
this site. I hope I have
provided valuable information to you.
Current Queue |
Current Queue for Physics |
Try the links in the MadSci Library for more information on Physics.
MadSci Home | Information |
Random Knowledge Generator |
MadSci Archives |
Mad Library | MAD Labs |
MAD FAQs |
Ask a ? |
Join Us! |
Help Support MadSci
© 1995-1999. All rights reserved.