Problem

The Bevatron accelerator at the Lawrence Berkeley Laboratory accelerated protons to a ki...

The Bevatron accelerator at the Lawrence Berkeley Laboratory accelerated protons to a kinetic energy of 6.3 GeV. What magnetic field was necessary to keep the protons traveling in a circle of 15.2 m? (See Problem 56.)

Use the result of the previous problem to show that the radius of a particle’s circular path having charge q traveling with speed v in a magnetic field perpendicular to the particle’s path is r p/qB. What happens to the radius as the speed increases as in a cyclotron?

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