Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The magnetic poles of a small cyclotron produce a magnetic field with magnitude

ID: 2261643 • Letter: T

Question

The magnetic poles of a small cyclotron produce a magnetic field with magnitude 1.15 T. The poles have a radius of 0.36 m, which is the maxi mu m radius of the orbits of the accelerated particles. What is the maxi mu m energy to which protons (q = 1.60 times 10-19 C, m = 1.67 times 10-27 kg) can be accelerated by this cyclotron? Give your answer in joules and electron volts. What is the time for one revolution of a proton orbiting at this maxi mu m radius? What would the magnetic field magnitude have to be for the maxi mu m energy to which a proton can be accelerated to be twice that calculated in part (a)? For B = 1.15 T, what is the maxi mu m energy to which alpha particles (q = 3.20 times 10-19 C, m = 6.65 times 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maxi mu m energy for protons? (maxi mu m energy for alpha particles / maxi mu m energy for protons) =

Explanation / Answer

The magnetic poles of a small cyclotron produce a magnetic field with
magnitude 0.85 T. The poles have a radius of 0.40 m, which is the
maximum radius of the orbits of the accelerated particles.
a) What is the maximum energy to which protons (q = 1.60