A cyclotron is to accelerate protons to a certain energy level. The superconducting electromagnet of the cyclotron produces a 2.54-T magnetic field perpendicular to the proton orbits. When the protons, m­p=1.67×10−27kg, have achieved a kinetic energy of 2.7 MeV, what is the radius of their circular orbit? (Hint: Make use of the kinetic energy equation in Joules.)

College Physics
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Chapter19: Magnetism
Section: Chapter Questions
Problem 20P: A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e,...
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A cyclotron is to accelerate protons to a certain energy level. The superconducting electromagnet of the cyclotron produces a 2.54-T magnetic field perpendicular to the proton orbits. When the protons, m­p=1.67×10−27kg, have achieved a kinetic energy of 2.7 MeV, what is the radius of their circular orbit? (Hint: Make use of the kinetic energy equation in Joules.)

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