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Exercise:
In a particle accelerator electrons move at vcO of the speed of light on a circular path with radius rO. abcliste abc Calculate the magnitude of the magnetic field perpicular to the electron’s motion. abc What would be the radius for protons moving at the same speed in the same magnetic field? abcliste

Solution:
abcliste abc The cyclotron radius is given by r fracm_e vq_e B Solving for the magnitude of the magnetic field lieds to B BF fracmtimes vctimesnccqtimes r B approx resultBP- abc Since the charge of a proton is the same as that of an electron the radius only deps on the particle's mass. It follows for the ratio of the radii that fracr_pr_e fracm_pm_e The radius for protons would be r_p rpF rtimesfracncmpncme rp approx resultrpP abcliste
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Exercise:
In a particle accelerator electrons move at vcO of the speed of light on a circular path with radius rO. abcliste abc Calculate the magnitude of the magnetic field perpicular to the electron’s motion. abc What would be the radius for protons moving at the same speed in the same magnetic field? abcliste

Solution:
abcliste abc The cyclotron radius is given by r fracm_e vq_e B Solving for the magnitude of the magnetic field lieds to B BF fracmtimes vctimesnccqtimes r B approx resultBP- abc Since the charge of a proton is the same as that of an electron the radius only deps on the particle's mass. It follows for the ratio of the radii that fracr_pr_e fracm_pm_e The radius for protons would be r_p rpF rtimesfracncmpncme rp approx resultrpP abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
cyclotron radius, electron, magnetic force, proton
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(1, default)
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Language
ENG (English)
Type
Calculative / Quantity
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