Magnetic Force on Moving Charges

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SUMMARY

The discussion focuses on calculating the acceleration of a proton moving downward at 355 m/s in a magnetic field of 4.05 x 10^-5 T near the Earth's equator. Using the formula a = evB/m, the calculated acceleration is 1.38 x 10^16 m/s². Participants highlight the relevance of the angle of motion relative to the magnetic field, suggesting that the proton's trajectory is perpendicular to Earth's magnetic lines, which is crucial for accurate calculations.

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  • Understanding of Lorentz force and magnetic fields
  • Familiarity with the equation F = MA
  • Knowledge of charge, velocity, and magnetic field interactions
  • Basic grasp of particle physics and proton properties
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AcidicVision
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A proton high above the equator approaches the Earth moving straight downward with a speed of 355 m/s. Find the acceleration of the proton, given that the magnetic field at its altitude is 4.05 X 10^-5 T.


Homework Equations



F = MA
=eVBsin?
a = evB/m


The Attempt at a Solution



a = ((1.6x10^-9C)(355 m/s)(4.05x10^-5)/(1.673x10^-27)) = 1.38x10^16 m/s^2



My attempt is pretty straight forward, but I think I am missing something. There has to be some relevance to the magnet force near the equator and the angle that the particle is moving, I think its perpendicular to Earth's magnetic lines, but I am not sure.

Thanks.
 
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AcidicVision said:
A proton high above the equator approaches the Earth moving straight downward with a speed of 355 m/s. Find the acceleration of the proton, given that the magnetic field at its altitude is 4.05 X 10^-5 T.

My attempt is pretty straight forward, but I think I am missing something. There has to be some relevance to the magnet force near the equator and the angle that the particle is moving, I think its perpendicular to Earth's magnetic lines, but I am not sure.

Hi AcidicVision! :smile:

I think you're right … assuming they mean the magnetic equator :rolleyes:

not a very good question, is it?
 

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