Electron Motion in a Magnetic Field: Kinetic Energy Considerations

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SUMMARY

The discussion focuses on the motion of an electron in a magnetic field with a magnitude B directed along the positive x-axis. When the electron, moving in the positive y-direction, enters this magnetic field, the magnetic force acts perpendicular to both the velocity and the magnetic field, resulting in circular motion. According to Fleming's Left-Hand Rule, the motion of the electron is directed into the paper. The kinetic energy of the electron remains constant as it moves in a magnetic field, since the magnetic force does no work on the charged particle.

PREREQUISITES
  • Understanding of Fleming's Left-Hand Rule
  • Basic knowledge of electromagnetic theory
  • Familiarity with the concepts of magnetic force and motion
  • Knowledge of kinetic energy principles in physics
NEXT STEPS
  • Study the Lorentz force equation and its applications
  • Explore the concept of circular motion in magnetic fields
  • Investigate the relationship between magnetic fields and charged particle dynamics
  • Learn about the implications of kinetic energy conservation in electromagnetic systems
USEFUL FOR

Physics students, educators, and professionals interested in electromagnetism, particularly those studying charged particle motion in magnetic fields.

razvees
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Consider a region in which there is a magnetic field B, which is such that it has magnitude B and direction in the positive x-direction. An electron enters this region such that its velocity is in the positive y-direction. (a) Describe the motion of the electron in this region by considering the magnetic force on it. (Hint: as a third direction use into the paper or out of the paper). (b) What can you say about the kinetic energy of the electron?
 
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You have to use flemings left hand rule:

http://en.wikipedia.org/wiki/Fleming's_left_hand_rule

so your 1st finger (field) points in positive x direction (left to right on paper)

your second finger (current) points upwards towards the top of the paper

and your thumb (motion) points INTO the paper.

just be careful with this one, you can seriously sprain your fingers! :smile:
 

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