Ultra high energy cosmic ray deflection angle causes by magnetic field

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SUMMARY

The discussion focuses on calculating the maximum angular deflection of an ultra-high energy cosmic ray with an energy of 1020 eV originating from a source 10 Mpc away, influenced by an extragalactic magnetic field of strength B = 10-9 G. The key formula to use for this calculation is the Larmor radius, which relates the particle's energy and the magnetic field strength to determine the deflection angle. Participants emphasize the importance of sketching the particle's trajectory to visualize and validate the calculated deflection angle, addressing concerns about the reasonableness of the results.

PREREQUISITES
  • Understanding of Larmor radius calculations in particle physics
  • Familiarity with cosmic ray physics and energy scales
  • Basic knowledge of trigonometry for angle calculations
  • Awareness of magnetic field effects on charged particles
NEXT STEPS
  • Research the formula for Larmor radius in the context of charged particles in magnetic fields
  • Explore the relationship between cosmic ray energy and deflection angles
  • Study the impact of extragalactic magnetic fields on cosmic ray trajectories
  • Learn how to create trajectory sketches to visualize particle motion in magnetic fields
USEFUL FOR

Astrophysicists, particle physicists, and students studying cosmic rays and their interactions with magnetic fields will benefit from this discussion.

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Homework Statement
Maximum angular deflection of proton influenced by B-field
Relevant Equations
Larmor radius: R = (c*p)/(Z*e*B)
I'm given an ultra-high energy cosmic ray with energy 10^20 eV. It is coming from a source 10 Mpc away with an extragalactic magnetic field with strength B = 10^-9 G. I am to determine the maximum angular deflection of this cosmic ray, so it hits Earth.

I don't have an attempt of the solution as I'm not even sure what formula to use. I was thinking of using the Larmor radius and using that as the distance the particle have traveled and then it is a trigonometric problem, but it doesn't give me a reasonable angle.

Any hits or thoughts are appreciated!
 
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You should use the Larmor radius to determine the deflection angle. Make a sketch of the path of the particle with your calculation of the defection angle and show us why it "doesn't give me a reasonable angle".
 
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