The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.90T. The poles have a radius of 0.37m, which is the maximum radius of the orbits of the accelerated particles.
(a) What is the maximum energy to which protons (q=1.60×10^-19C, m=1.67×10^-27kg) can be accelerated by this cyclotron? Give your answer in joules.
(b) What is the maximum energy to which protons (q=1.60×10^-19C, m=1.67×10^-27kg) can be accelerated by this cyclotron? Give your answer in electron volts.
(c) What is the time for one revolution of a proton orbiting at this maximum radius?
(d) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part A?
(e) For B= 0.90 T , what is the maximum energy to which alpha particles (q=3.20×10^-19C, m=6.65×10^-27kg) can be accelerated by this cyclotron?