A cyclotron (figure) designed to accelerate protons has an outer radius of 0.330 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 642 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T. The black, dashed, curved lines B represent the path of the particles. D1 D₂ Alternating AV After being accelerated, the particles exit here. North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. eV (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? S b Lawrence Berkeley NationalLab i

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A cyclotron (figure) designed to accelerate protons has an outer radius of 0.330 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 642 V each time they
cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T.
The black, dashed,
curved lines
B
represent the path
of the particles.
D1
D₂
Alternating AV
After being
accelerated, the
particles exit here.
North pole of magnet
(a) Find the cyclotron frequency for the protons in this cyclotron.
rad/s
(b) Find the speed at which protons exit the cyclotron.
m/s
(c) Find their maximum kinetic energy.
eV
(d) How many revolutions does a proton make in the cyclotron?
revolutions
(e) For what time interval does the proton accelerate?
S
b
Lawrence Berkeley NationalLab
i
Transcribed Image Text:A cyclotron (figure) designed to accelerate protons has an outer radius of 0.330 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 642 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T. The black, dashed, curved lines B represent the path of the particles. D1 D₂ Alternating AV After being accelerated, the particles exit here. North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. eV (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? S b Lawrence Berkeley NationalLab i
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