CY-1 A cyclotron has an outer radius R with a magnetic field B=25.0T. An alternating potential difference of 150,000V exists between the D's. Protons Top View: X X X B=25.0T (into page) (q=+1.60x10-1ºC, m=1.673x10-27kg) are injected into the cyclotron near the center with a very low speed. X X X R a) Apply Fnet=ma to the proton in the cyclotron shown to the right. b) Use your equation from part a) to write the final radius R(when it exits the D's) in terms of m, q, B, and Ekf (and not speed v). Use only symbols for this step. Find the numerical value of R if the proton is to exit with an energy of 1,000MEV, which is 1.000x10°eV. X X X X X X X X Side View: d) By how many eV does the kinetic energy of the proton increase per revolution? e) Find N the number of revolutions needed for the proton to reach Ekf. f) Use any equation from part a) to find the symbolic expression for the period T - the time for one revolution of the proton. g) Find the numerical value of T. h) Find the total time for the proton to go from an initial kinetic energy of zero to Ekf. B
CY-1 A cyclotron has an outer radius R with a magnetic field B=25.0T. An alternating potential difference of 150,000V exists between the D's. Protons Top View: X X X B=25.0T (into page) (q=+1.60x10-1ºC, m=1.673x10-27kg) are injected into the cyclotron near the center with a very low speed. X X X R a) Apply Fnet=ma to the proton in the cyclotron shown to the right. b) Use your equation from part a) to write the final radius R(when it exits the D's) in terms of m, q, B, and Ekf (and not speed v). Use only symbols for this step. Find the numerical value of R if the proton is to exit with an energy of 1,000MEV, which is 1.000x10°eV. X X X X X X X X Side View: d) By how many eV does the kinetic energy of the proton increase per revolution? e) Find N the number of revolutions needed for the proton to reach Ekf. f) Use any equation from part a) to find the symbolic expression for the period T - the time for one revolution of the proton. g) Find the numerical value of T. h) Find the total time for the proton to go from an initial kinetic energy of zero to Ekf. B
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 16P
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CY-1 A cyclotron has an outer radius R
with a magnetic field B=25.0T. An alternating potential difference of 150,000V exists between the D's. Protons (q=+1.60x10-19C, m=1.673x10-27kg)
are injected into the cyclotron near the center with a very low speed.
d) By how many eV does the kinetic energy of the proton increase per revolution?
e) Find N the number of revolutions needed for B the proton to reach Ekf.
f) Use any equation from part a) to find the symbolic
expression for the period T - the time for one revolution of the proton.
g) Find the numerical value of T.
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