Earth's Magnetic Field with Electron orbit

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SUMMARY

The discussion centers on calculating the magnitude of the Earth's magnetic field in relation to electrons trapped in the Van Allen belts. A typical electron in this region possesses an energy of 55 keV and orbits with an average radius of 240 m. The solution involves applying principles of electromagnetism, specifically the relationship between kinetic energy and magnetic field strength. The participant initially struggled but ultimately resolved the problem independently.

PREREQUISITES
  • Understanding of electromagnetism principles
  • Familiarity with kinetic energy calculations
  • Knowledge of the Van Allen belts and their significance
  • Basic grasp of circular motion in physics
NEXT STEPS
  • Study the relationship between kinetic energy and magnetic field strength
  • Learn about the properties and significance of the Van Allen belts
  • Explore the equations governing circular motion of charged particles
  • Investigate the effects of Earth's magnetic field on charged particles
USEFUL FOR

Students studying physics, particularly those focused on electromagnetism and space science, as well as educators seeking to explain the dynamics of charged particles in magnetic fields.

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Homework Statement



High above the surface of the Earth, charged particles (such as electrons and protons) can become trapped in the Earth's magnetic field in regions known as Van Allen belts. A typical electron in a Van Allen belt has an energy of 55 keV and travels in a roughly circular orbit with an average radius of 240 m. What is the magnitude of the Earth's magnetic field where such an electron orbits?

Homework Equations



Don't know. I don't see any equation to relates energy to magnetism.

The Attempt at a Solution



Don't even know where to begin :frown:

Please help.

Thank You
 
Last edited:
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nevermind figured it out...
 

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