For your senior project, you would like to build a cyclotron that will accelerate protons to % of the speed of light. The largest vacuum chamber you can find is cm in diameter. What magnetic field strength will you need?
You will need the magnetic field strength is T
The given is the speed of the particle is of the speed of light and the diameter of the chamber is . The objective is to find the magnetic field strength.
The cyclotron motion is defined as a particle traveling in a uniform circular motion perpendicular to the magnetic field at a constant speed. The radius of the circular motion produced by the magnetic field is related to it by an equation in the form
Where denotes the particle's charge, denotes its speed, denotes the magnetic field, and denotes the particle's mass. Because the particle's speed is
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