The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating protons is 0.37 m. (a) What is the kinetic energy (in J) of the protons when they are ejected from the cyclotron? (b) What is this energy in MeV? (c) Through what potential difference (in MV) would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period (in s) of the voltage source used to accelerate the protons? (e) Repeat the calculations for alpha-particles. kinetic energy (in J) kinetic energy (in MeV) potential difference (in MV) period (in s)

The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating protons is 0.37 m. (a) What is the kinetic energy (in J) of the protons when they are ejected from the cyclotron? (b) What is this energy in MeV? (c) Through what potential difference (in MV) would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period (in s) of the voltage source used to accelerate the protons? (e) Repeat the calculations for alpha-particles. kinetic energy (in J) kinetic energy (in MeV) potential difference (in MV) period (in 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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Question

The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating protons is 0.37 m.

(a)

What is the kinetic energy (in J) of the protons when they are ejected from the cyclotron?

(b)

What is this energy in MeV?

(c)

Through what potential difference (in MV) would a proton have to be accelerated to acquire this kinetic energy?

(d)

What is the period (in s) of the voltage source used to accelerate the protons?

(e)

Repeat the calculations for alpha-particles.

kinetic energy (in J)

kinetic energy (in MeV)

potential difference (in MV)

period (in s)

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