How Does a Magnetic Field Affect an Electron's Motion?

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SUMMARY

The discussion focuses on the effects of a magnetic field on an electron's motion, specifically in a scenario where an electron enters a 0.01 T magnetic field traveling west at 0.12 times the speed of light. The magnetic force acting on the electron is calculated using the formula Fm = |q|vB, where the charge of the electron is approximately -1.6 x 10^-19 C. The resulting magnetic force is determined to be in the femtoNewton range, and the acceleration can be derived from this force using Newton's second law.

PREREQUISITES
  • Understanding of electromagnetism principles, specifically Lorentz force.
  • Familiarity with the charge of an electron (-1.6 x 10^-19 C).
  • Knowledge of the speed of light (approximately 3 x 10^8 m/s).
  • Basic proficiency in physics equations, particularly F=ma.
NEXT STEPS
  • Calculate the magnetic force on an electron in different magnetic field strengths.
  • Explore the relationship between velocity and magnetic force in charged particle motion.
  • Learn about the implications of magnetic fields on particle accelerators.
  • Investigate the effects of varying angles of entry into magnetic fields on force and acceleration.
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Physics students, educators, and professionals in fields related to electromagnetism and particle physics will benefit from this discussion.

jand
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You have arranged that the magnetic field in a particular region of space is due North with a value of 0.01 T. An electron enters the field traveling to the West with a speed of 0.12 of the speed of light. As a result, the electron experiences a magnetic force which is upwards.

(a) What is the strength of this magnetic force, in fN? (NOTE: The "f" stands for "femto", which is 10^-15.)

(b) What is the amount of the resulting acceleration of the electron?

(c) What will be the result of the acceleration that you have calculated in part (b)?




The Attempt at a Solution



I am really quite lost.. but this is where I thought I should be starting..

Force Law: Fm = |q|vB
where v = .12(1.3 x10^3) m/s , B = .01 T, q = ?? (I'm not sure?)


any help would be appreciated :)
 
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jand said:
Force Law: Fm = |q|vB
OK.
where v = .12(1.3 x10^3) m/s
v is 0.12 times the speed of light. What's the speed of light? (Look it up!)
, B = .01 T
Good.
, q = ?? (I'm not sure?)
What's the charge of an electron? (Look it up!)
 

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