Earth's magnetic force on a proton

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SUMMARY

The discussion focuses on calculating the magnetic force on a proton using the formula F = qvBsin(θ). A participant calculated the force to be approximately 8e-21 Newtons using a magnetic field strength of 50 microtesla (μT) and a velocity of 1000 m/s at an angle of 90 degrees. However, the calculation is deemed incorrect due to the variability of the Earth's magnetic field, which is not constant and can differ significantly across locations. The lack of a specific B-field strength in the problem statement is highlighted as a critical issue.

PREREQUISITES
  • Understanding of the Lorentz force equation (F = qvBsin(θ))
  • Knowledge of magnetic field strength in microtesla (μT)
  • Familiarity with the concept of angle in vector calculations
  • Basic physics principles regarding charge and motion
NEXT STEPS
  • Research the variability of Earth's magnetic field and its measurement techniques
  • Learn about the implications of using incorrect magnetic field values in calculations
  • Explore advanced applications of the Lorentz force in particle physics
  • Investigate the effects of different angles on magnetic force calculations
USEFUL FOR

Physics students, educators, and professionals involved in electromagnetism or particle physics who seek to understand the impact of magnetic fields on charged particles.

Jaccobtw
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Homework Statement
A proton is flying to the east near the surface of the earth at 1000m/s. What is the magnitude of the force (in N) the proton feels due to the earth's magnetic field?
Relevant Equations
F = qvBsin##\theta##
Plug in the elementary charge for q, 1000 m/s for v, 50 microtesla for B and 90 degrees for theta and I get about 8e-21 Netwons. But apparently this is wrong, anyone know why? Thank you.
 
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Your calculation looks correct. The problem statement as given doesn't provide the strength of the B-field. The field varies quite a bit over the surface of the earth. Why did you choose 50 μT?
 
TSny said:
Your calculation looks correct. The problem statement as given doesn't provide the strength of the B-field. The field varies quite a bit over the surface of the earth. Why did you choose 50 μT?
google!
 
Jaccobtw said:
google!
Click on the "varies quite a bit" in my previous post.
 

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