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https://texercises.raemilab.ch/exercise/acceleration-of-charged-particles-in-magnetic-field/
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Exercise:
Two protons p and an alpha particle aplha helium nucleus move with the same speed v through a homogeneous magnetic field see figure. center includegraphicswidth.textwidth#image_path:acceleration-of-charged-particles-in-magnetic-field# center abcliste abc Which particles experience the greatest force which ones the weakest force? abc Which particles experience the greatest acceleration which ones the lowest acceleration? abcliste

Solution:
abcliste abc The force on the proton in the middle is given by F_p_ e v B The speed v and the strength of the magnetic field B are the same for all three particles. The proton to the left moves at an angle of al to the field lines so it experiences a force F_p_ e v B sinalpha F_p_sinal fracF_p_sqrt F_p_ The alpha particle has twice the charge of a proton. It expriences a force F_alpha e v B F_p_ F_p_ The alpha particle alpha experiences the greatest the proton to the left the weakest force. abc The acceleration is given by a fracFm The alpha particle experiences the greatest force but it has a mass which is four times that of a proton. The accelerations of the three particles are: a_p_ fracF_p_sqrt m_p a_p_ fracF_p_m_p a_alpha frac F_p_ m_pfracF_p_ m_p The proton in the middle experiences the greatest the alpha particle the lowest accleration. abcliste
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Exercise:
Two protons p and an alpha particle aplha helium nucleus move with the same speed v through a homogeneous magnetic field see figure. center includegraphicswidth.textwidth#image_path:acceleration-of-charged-particles-in-magnetic-field# center abcliste abc Which particles experience the greatest force which ones the weakest force? abc Which particles experience the greatest acceleration which ones the lowest acceleration? abcliste

Solution:
abcliste abc The force on the proton in the middle is given by F_p_ e v B The speed v and the strength of the magnetic field B are the same for all three particles. The proton to the left moves at an angle of al to the field lines so it experiences a force F_p_ e v B sinalpha F_p_sinal fracF_p_sqrt F_p_ The alpha particle has twice the charge of a proton. It expriences a force F_alpha e v B F_p_ F_p_ The alpha particle alpha experiences the greatest the proton to the left the weakest force. abc The acceleration is given by a fracFm The alpha particle experiences the greatest force but it has a mass which is four times that of a proton. The accelerations of the three particles are: a_p_ fracF_p_sqrt m_p a_p_ fracF_p_m_p a_alpha frac F_p_ m_pfracF_p_ m_p The proton in the middle experiences the greatest the alpha particle the lowest accleration. abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
acceleration, charged particle, magnetic force
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Both
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Decoration