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https://texercises.com/exercise/proton-cyclotron/
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Exercise:
A cyclotron with radius rO is used to accelerate protons. The magnitude of the magnetic field is BO. What are the protons’ final speed and kinetic energy?

Solution:
The cyclotron radius is given by r fracm vq B It follows for the protons' speed v vF fracrtimes qtimes Bm v approx resultvS resultvcP The kinetic energy is sscEkin frac m v^ frac m leftvFright^ EF fracleftrtimes qtimes Bright^times m E approx resultES resultEevP
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Exercise:
A cyclotron with radius rO is used to accelerate protons. The magnitude of the magnetic field is BO. What are the protons’ final speed and kinetic energy?

Solution:
The cyclotron radius is given by r fracm vq B It follows for the protons' speed v vF fracrtimes qtimes Bm v approx resultvS resultvcP The kinetic energy is sscEkin frac m v^ frac m leftvFright^ EF fracleftrtimes qtimes Bright^times m E approx resultES resultEevP
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Attributes & Decorations
Branches
Magnetism
Tags
accelerator, cyclotron, kinetic energy, magnetic force, proton
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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