Magnetic Field and electron beam

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SUMMARY

The discussion centers on the behavior of an electron beam in the presence of two magnetic fields: Earth's magnetic field at 0.1 mT and the Helmholtz coils' magnetic field at 1.0 mT. The consensus indicates that the electron will follow a helical path, primarily aligned with the Helmholtz coils' magnetic field due to its greater strength. The reasoning involves analyzing the net magnetic field vectors and the perpendicular nature of the magnetic fields relative to the electron's velocity.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the Lorentz force.
  • Familiarity with the concepts of magnetic fields and their interactions.
  • Knowledge of helical motion in physics.
  • Basic principles of vector addition in physics.
NEXT STEPS
  • Study the Lorentz force law and its application to charged particles in magnetic fields.
  • Learn about the geometry of helical motion and its mathematical representation.
  • Explore the principles of superposition of magnetic fields and vector addition.
  • Investigate the design and application of Helmholtz coils in experimental physics.
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Physics students, educators, and researchers interested in electromagnetism and the dynamics of charged particles in magnetic fields.

strawberrysk8
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Homework Statement



The original direction of the electron beam as it enters the magnetic field is along the earth’s magnetic field. If the magnitude of the earth’s magnetic field is 0.1 mT and the magnetic field due to the Helmholtz coils is 1.0 mT (perpendicular to the electron beam), the resulting path of the electron can be best described as:

a) A helical path with the axis of the helix roughly along the earth’s magnetic field.

b) A helical path with the axis of the helix roughly along the Helmholtz coils magnetic field.

c) A straight line


Homework Equations





The Attempt at a Solution



which is it? I have no idea!
 
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We will help you, but don't give out answers here. "I have no idea" isn't an attempted solution. Work though each option logically and post your thoughts on why it could [not] be each one and we'll take it from there.
 
I am leaning towards c) a straight line.

I feel like the only way for an electron to move in a helical path is for the two magnetic fields to be diagonally intersecting.
 
Take into consideration the net magnetic field vectors...once you do so...take into consideration of what happens when the magnetic fields are not perpendicular to the velocity.
 
Last edited:
ok... then maybe b) since the strength of the helmholtz coil's magnetic field is larger than the strength of Earth's magnetic field. so the electron will follow a circular path, but along mostly the helmholtz coil's magnetic field
 

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