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Exercise:
The magnet in the Compact Muon Solenoid CMS detector generates a field with strength BO. The magnetic field is confined by a steel core with a mass of mO. A particle with charge +e moves perpicular the magnetic field lines on a track with radius rO. Calculate the particle’s momentum. Express the result in the unit GeV/c.

Solution:
The radius of the circular trajectory is given by r fracpq B Solving for the momentum yields p pF r times nce times B resultpS The quantity pc has the units of an energy so it can be converted to eV: pc p times ncc pc pcevP The momentum is therefore presultpevP.
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Exercise:
The magnet in the Compact Muon Solenoid CMS detector generates a field with strength BO. The magnetic field is confined by a steel core with a mass of mO. A particle with charge +e moves perpicular the magnetic field lines on a track with radius rO. Calculate the particle’s momentum. Express the result in the unit GeV/c.

Solution:
The radius of the circular trajectory is given by r fracpq B Solving for the momentum yields p pF r times nce times B resultpS The quantity pc has the units of an energy so it can be converted to eV: pc p times ncc pc pcevP The momentum is therefore presultpevP.
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Attributes & Decorations
Branches
Magnetism
Tags
circle, cyclotron radius, detector, trajectory
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration