a. What is the kinetic energy of the protons when they are ejected from the cyclotron? KE at ejection = ✓ J b. What is this energy in MeV? KE at ejection in MeV = MeV c. Through what total potential difference (potential difference between the gaps and number of trips through the gaps) would a proton have to be accelerated to acquire this kinetic energy? Think about the magnitude of potential you have calculated. While designing the cyclotron, gap potential can be made much smaller than this magnitude by making the proton pass through the gap several times by making it pass through a magnetic field and confining the protons to a circular path before the next increment in energy. Potential difference = MV d. What is the period of the voltage source used to accelerate the protons? Hint: For maximum energy transfer from the external voltage source to the proton, the period of the oscillating voltage should coincide with the period of oscillation of the proton. Period of the voltage source = S

a. What is the kinetic energy of the protons when they are ejected from the cyclotron? KE at ejection = ✓ J b. What is this energy in MeV? KE at ejection in MeV = MeV c. Through what total potential difference (potential difference between the gaps and number of trips through the gaps) would a proton have to be accelerated to acquire this kinetic energy? Think about the magnitude of potential you have calculated. While designing the cyclotron, gap potential can be made much smaller than this magnitude by making the proton pass through the gap several times by making it pass through a magnetic field and confining the protons to a circular path before the next increment in energy. Potential difference = MV d. What is the period of the voltage source used to accelerate the protons? Hint: For maximum energy transfer from the external voltage source to the proton, the period of the oscillating voltage should coincide with the period of oscillation of the proton. Period of the voltage source = S

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 55P: The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating...

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