Question

The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.83 T . The poles have a radius of 0.36 m , which is the maximum radius of the orbits of the accelerated particles.

Part 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.

Part 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.

Part C

What is the time for one revolution of a proton orbiting at this maximum radius?

Part 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?

Part E

For B= 0.83 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?

Answer 1