Effect on electron in magnetic field

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SUMMARY

The discussion focuses on the behavior of an electron in a uniform magnetic field, specifically its motion characterized by a clockwise spiral path of decreasing radius. The key forces at play are the electromagnetic force, which is a result of the interaction between the magnetic field and the electron's charge, and the centripetal force required to maintain circular motion. As the radius decreases, the electron's speed is analyzed in relation to these forces, leading to the conclusion that the speed of the electron is decreasing due to the nature of centripetal acceleration.

PREREQUISITES
  • Understanding of electromagnetic force and its relation to charged particles
  • Knowledge of centripetal force and its formula: centripetal force = mass x centripetal acceleration
  • Familiarity with the motion of charged particles in magnetic fields
  • Basic concepts of circular motion and acceleration
NEXT STEPS
  • Study the Lorentz force law and its implications for charged particles in magnetic fields
  • Explore the concept of centripetal acceleration in greater detail
  • Learn about the behavior of electrons in varying magnetic field strengths
  • Investigate the applications of electron motion in magnetic fields, such as in cyclotrons
USEFUL FOR

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

xiangyu7
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Here's a question that I'm quite confused about:

A uniform constant magnetic field is directed into the page. An electron of constant mass and charge follows a clockwise spiral of decreasing radius path. Is the particle spead increasing or slowing down? and Why?
 
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try this

I see two forces here (sort of, one is a consequense of the other):

1st force (the real one): The electromagnetic force
Look at what you have:
B-field, velocity, charge (its an electron)

2nd force (implied in the motion): centripetal Force
What the first force is doing. Set the two equal. See what happens when you vary radius.

Don't forget centripetal force= mass x centripetal acceleration



That should get you through the problem.

curly
 

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