A cyclotron (figure) designed to accelerate protons has an outer radius of 0.339 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 592 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T.

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Chapter1: Units, Trigonometry. And Vectors
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A cyclotron (figure) designed to accelerate protons has an outer radius of 0.339 m. The protons are emitted nearly at rest from a source at the center and are accelerated through
592 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T.
The black, dashed,
curved lines
represent the path
of the particles.
a
D₁
Alternating AV
D2
(c) Find their maximum kinetic energy.
eV
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
(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 National Lab
Transcribed Image Text:A cyclotron (figure) designed to accelerate protons has an outer radius of 0.339 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 592 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.824 T. The black, dashed, curved lines represent the path of the particles. a D₁ Alternating AV D2 (c) Find their maximum kinetic energy. eV 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 (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 National Lab
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