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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 X 10-19C, m = 1.67 X l0-27kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules.
(b) What is the time for one revolution of a proton orbiting at this maximum radius?
(c) 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)?
(d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 X 10-19 C, m = 6.65 X 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons? |
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