The cyclotron (see the figure) is a device used to accelerate elementary particles such as protons to high speeds. (Figure 1) Particles starting at point A with some initial velocity travel in circular orbits in the magnetic field B. The particles are accelerated to higher speeds each time they pass in the gap between the metal "dees," where there is an electric field E. (There is no electric field within the hollow metal dees.) The electric field changes direction each half-cycle, due to an ac voltage V = Vo sin 2x ft, so that the particles are increased in speed at each passage through the gap. Figure "Dees" HADHK < 1 of 1 > Gap Find the frequency f of the voltage. Assume that g is the charge on the particles and m their mass. Express your answer in terms of some or all of the variables B, q, m, Vo. f= Submit Part B AK = Submit Part C [ΕΙ ΑΣΦ Find the increase of kinetic energy of the particles each revolution, assuming that the gap is small. Express your answer in terms of some or all of the variables B, q, m, Vo. IVE] ΑΣΦ 5 K = Request Answer Request Answer ? If the radius of the cyclotron is 0.25 m and the magnetic field strength is 0.65 T, what will be the maximum kinetic energy of accelerated protons in MeV? Express your answer to two significant figures and include the appropriate units. IT RA S @ Value Units ?
The cyclotron (see the figure) is a device used to accelerate elementary particles such as protons to high speeds. (Figure 1) Particles starting at point A with some initial velocity travel in circular orbits in the magnetic field B. The particles are accelerated to higher speeds each time they pass in the gap between the metal "dees," where there is an electric field E. (There is no electric field within the hollow metal dees.) The electric field changes direction each half-cycle, due to an ac voltage V = Vo sin 2x ft, so that the particles are increased in speed at each passage through the gap. Figure "Dees" HADHK < 1 of 1 > Gap Find the frequency f of the voltage. Assume that g is the charge on the particles and m their mass. Express your answer in terms of some or all of the variables B, q, m, Vo. f= Submit Part B AK = Submit Part C [ΕΙ ΑΣΦ Find the increase of kinetic energy of the particles each revolution, assuming that the gap is small. Express your answer in terms of some or all of the variables B, q, m, Vo. IVE] ΑΣΦ 5 K = Request Answer Request Answer ? If the radius of the cyclotron is 0.25 m and the magnetic field strength is 0.65 T, what will be the maximum kinetic energy of accelerated protons in MeV? Express your answer to two significant figures and include the appropriate units. IT RA S @ Value Units ?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![The cyclotron (see the figure) is a device used to
accelerate elementary particles such as protons to high
speeds. (Figure 1) Particles starting at point A with some
initial velocity travel in circular orbits in the magnetic field
B. The particles are accelerated to higher speeds each
time they pass in the gap between the metal "dees,"
where there is an electric field E. (There is no electric
field within the hollow metal dees.) The electric field
changes direction each half-cycle, due to an ac voltage
V = Vo sin 2π ft, so that the particles are increased in
speed at each passage through the gap.
Figure
"Dees"
B
*888
1
< 1 of 1 >
Gap
▼
▼
Find the frequency f of the voltage. Assume that q is the charge on the particles and m their mass.
Express your answer in terms of some or all of the variables B, q, m, V₁.
IVE ΑΣΦ
f=
Submit Request Answer
Part B
AK =
Find the increase of kinetic energy of the particles each revolution, assuming that the gap is small.
Express your answer in terms of some or all of the variables B, q, m, V₁.
IVE] ΑΣΦ
Submit
Part C
Request Answer
Kmax =
B
1
wwwww
If the radius of the cyclotron is 0.25 m and the magnetic field strength is 0.65 T, what will be the maximum kinetic energy of accelerated protons in MeV?
Express your answer to two significant figures and include the appropriate units.
μA
Value
?
Units
www
?
1] ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc84ba02-cd45-4ad4-9c89-9c840cb88804%2F67341d89-5738-46b0-b9b6-adb4a7b32267%2F6p2pzbc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cyclotron (see the figure) is a device used to
accelerate elementary particles such as protons to high
speeds. (Figure 1) Particles starting at point A with some
initial velocity travel in circular orbits in the magnetic field
B. The particles are accelerated to higher speeds each
time they pass in the gap between the metal "dees,"
where there is an electric field E. (There is no electric
field within the hollow metal dees.) The electric field
changes direction each half-cycle, due to an ac voltage
V = Vo sin 2π ft, so that the particles are increased in
speed at each passage through the gap.
Figure
"Dees"
B
*888
1
< 1 of 1 >
Gap
▼
▼
Find the frequency f of the voltage. Assume that q is the charge on the particles and m their mass.
Express your answer in terms of some or all of the variables B, q, m, V₁.
IVE ΑΣΦ
f=
Submit Request Answer
Part B
AK =
Find the increase of kinetic energy of the particles each revolution, assuming that the gap is small.
Express your answer in terms of some or all of the variables B, q, m, V₁.
IVE] ΑΣΦ
Submit
Part C
Request Answer
Kmax =
B
1
wwwww
If the radius of the cyclotron is 0.25 m and the magnetic field strength is 0.65 T, what will be the maximum kinetic energy of accelerated protons in MeV?
Express your answer to two significant figures and include the appropriate units.
μA
Value
?
Units
www
?
1] ?
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