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Exercise:
An alpha particle is injected o a homogeneous magnetic field of magnitude BO at vcO of the speed of light. abcliste abc Calculate the radius of its circular path. abc What is the frequency of the circular motion? abcliste

Solution:
abcliste abc The alpha particle has mass m_alphamu and charge q_alphaqe. The radius of the circular path is given by r rF fracmuXtimesncutimes vctimesnccqeXtimesncetimes B r approx resultrP abc The period of the circular motion is given by T fracpi rv fracpi m vq B v fracpi mq B The frequency can then be written as f fracT fF fracqeXtimesncetimes Bpitimes muXtimesncu f approx resultfP abcliste
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Exercise:
An alpha particle is injected o a homogeneous magnetic field of magnitude BO at vcO of the speed of light. abcliste abc Calculate the radius of its circular path. abc What is the frequency of the circular motion? abcliste

Solution:
abcliste abc The alpha particle has mass m_alphamu and charge q_alphaqe. The radius of the circular path is given by r rF fracmuXtimesncutimes vctimesnccqeXtimesncetimes B r approx resultrP abc The period of the circular motion is given by T fracpi rv fracpi m vq B v fracpi mq B The frequency can then be written as f fracT fF fracqeXtimesncetimes Bpitimes muXtimesncu f approx resultfP abcliste
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Branches
Magnetism
Tags
alpha particle, circular motion, cyclotron frequency, cyclotron radius, magnetic force
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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