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https://texercises.com/exercise/large-hadron-collider/
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Exercise:
The em Large Hadron Collider LHC at CERN can keep protons with a momentum of pevO on a circle with radius rO. What is the strength of the magnetic field in the deflection magnets?

Solution:
The cyclotron radius can be written as r fracpq B Solving for the magnetic field leads to B BF fracpevOqeOtimes r fracpvcqetimes r fracpvqetimes rtimesncc B approx resultBS The actual field in the deflection magnets has to be greater since not the entire length of the accelerator ring is filled with magnets.
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Exercise:
The em Large Hadron Collider LHC at CERN can keep protons with a momentum of pevO on a circle with radius rO. What is the strength of the magnetic field in the deflection magnets?

Solution:
The cyclotron radius can be written as r fracpq B Solving for the magnetic field leads to B BF fracpevOqeOtimes r fracpvcqetimes r fracpvqetimes rtimesncc B approx resultBS The actual field in the deflection magnets has to be greater since not the entire length of the accelerator ring is filled with magnets.
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Attributes & Decorations
Branches
Magnetism
Tags
accelerator, cyclotron, magnetic force, proton
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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