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https://texercises.com/exercise/magnetic-force-on-charged-particles/
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Exercise:
abcliste abc An electron with a speed of vaO moves perpicularly to the field lines of a magnetic field with strength BaO. Calculate the force acting on the electron. abc A proton moves at vbcO of the speed of light perpicularly to the field lines of a magnetic field. It experiences a force of FbO. Calculate the strength of the magnetic field. abc An alpha particle moves at an angle thcdegO with respect to the field lines of a magnetic field with strength BcO. It experiences a force FcO. Calculate the speed of the alpha particle and express the result as a fraction of the speed of light. abc A small styrofoam ball carrying a charge of qdO moves with a velocity of vdO through a magnetic field with strength BdO. It experiences as force FdO. Calculate the angle between the velocity vector and the magnetic field lines. abcliste

Solution:
abcliste abc The force is given by sscFB FaF ncetimes vatimes Ba Fa approx resultFaS abc The magnetic force is given by sscFB q v B Solving for the magnetic field leads to B BbF fracFbncetimes vbctimesncc Bb approx resultBbP- abc The force on a charged particle in a magnetic field is given by sscFB q v Bsheta Solving for the speed leads to v vcF fracFcqcetimesnce timesBctimes shcdeg vc vcc approx resultvccP abc The force on a charged particle in a magnetic field is given by sscFB q v Bsheta Solving for the angle theta leads to theta thradF arcsinleftfracFdqdtimes vdtimes Bdright thrad approx resultthdegP abcliste
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Exercise:
abcliste abc An electron with a speed of vaO moves perpicularly to the field lines of a magnetic field with strength BaO. Calculate the force acting on the electron. abc A proton moves at vbcO of the speed of light perpicularly to the field lines of a magnetic field. It experiences a force of FbO. Calculate the strength of the magnetic field. abc An alpha particle moves at an angle thcdegO with respect to the field lines of a magnetic field with strength BcO. It experiences a force FcO. Calculate the speed of the alpha particle and express the result as a fraction of the speed of light. abc A small styrofoam ball carrying a charge of qdO moves with a velocity of vdO through a magnetic field with strength BdO. It experiences as force FdO. Calculate the angle between the velocity vector and the magnetic field lines. abcliste

Solution:
abcliste abc The force is given by sscFB FaF ncetimes vatimes Ba Fa approx resultFaS abc The magnetic force is given by sscFB q v B Solving for the magnetic field leads to B BbF fracFbncetimes vbctimesncc Bb approx resultBbP- abc The force on a charged particle in a magnetic field is given by sscFB q v Bsheta Solving for the speed leads to v vcF fracFcqcetimesnce timesBctimes shcdeg vc vcc approx resultvccP abc The force on a charged particle in a magnetic field is given by sscFB q v Bsheta Solving for the angle theta leads to theta thradF arcsinleftfracFdqdtimes vdtimes Bdright thrad approx resultthdegP abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
charge, magnetic force
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Difficulty
(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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