Earth's Magnetic Field with Electron orbit

AI Thread Summary
Charged particles like electrons can be trapped in Earth's magnetic field, specifically within the Van Allen belts. A typical electron in this region has an energy of 55 keV and orbits with an average radius of 240 m. The discussion focuses on determining the magnitude of the Earth's magnetic field affecting these electrons. Initially, participants express confusion about the relationship between energy and magnetism, but one user ultimately resolves the issue independently. Understanding the connection between particle energy and magnetic fields is crucial for solving related physics problems.
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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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