You are Here: Home

# Cyclotron Question Tweet

Physics and electronics discussion, revision, exam and homework help.

Announcements Posted on
1. Cyclotron Question
Just trying to work out a question from my book, all help is appreciated.

A 30cm radius cyclotron has a magnetic field of about 0.5T. Estimate the energy in MeV gained by accelerated protons.

The answer given in the book is 1.08.
2. Re: Cyclotron Question
3. Re: Cyclotron Question
Ok, so first assume that protons will be moving in a perfect circular motion. (After all they are in a cyclotron :P)

Then we can equate the centripital force due to the magnetic field, qvB, to that of the force of cicular motion from mechanics, ie F= (mv^2)/r

equating these two expressions, alows you to cancel a v (velocity) from each side. After which you can re-arrange to get a value for v.

(I got 1.437 x 10^ 7 m/s)

Then simply put into the equation for kinetic energy, 1/2 m v^2 to get and enegry value in J.

Then simply convert to MeV!
4. Re: Cyclotron Question
Seems reasonable.