CY-1 A cyclotron has an outer radius Rwith 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 symbolicexpression for the period T - the time for one revolution of the proton.g) Find the numerical value of T. CY-1 A cyclotron has an outer radius Rwith a magnetic field B=25.0T. Analternating potential difference of 150,000Vexists between the D's. ProtonsTop View:XXXB=25.0T(into page)(q=+1.60x10-19C, m=1.673x10-2"kg)are injected into the cyclotron near thecenter with a very low speed.XXRa) Apply Fnet-ma to the proton in thecyclotron shown to the right.b) Use your equation from part a) to write thefinal radius R(when it exits the D's) in termsof m, q, B, and Ekf (and not speed v).Use only symbols for this step.c) Find the numerical value of R if the protonis to exit with an energy of 1,000MeV,which is 1.000x10°eV.XXXXXXSide View:d) By how many eV does the kinetic energyof the proton increase per revolution?e) Find N the number of revolutions needed forthe proton to reach Ekf.f) Use any equation from part a) to find the symbolicexpression 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

Cyclotron's outer radius, R= 0.450 m Magnetic field, B= 20.0 T Potential difference, U=3×104

Answered: CY-1 A cyclotron has an outer radius R…

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.

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=+1.60x10-19C, m=1.673x10-2"kg)
are injected into the cyclotron near the
center with a very low speed.
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.
c) 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
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

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