How Many Teslas Are Needed to Deflect Cosmic Rays at Near Light Speed?

AI Thread Summary
Calculating the magnetic field strength needed to deflect cosmic rays traveling at 99% the speed of light involves using the Lorentz force equation. The discussion focuses on simplifying the equation by eliminating the electric force and cross product, leading to a formula for magnetic field strength based on mass, acceleration, charge, and velocity. The calculated value appears excessively high, prompting a request for corrections. A key point raised is that cosmic rays can travel significant distances in magnetic fields without substantial deflection, suggesting that a large magnetic field would be necessary for significant directional changes over short distances. The conversation emphasizes the complexity of accurately modeling cosmic ray deflection with magnetic fields.
scienceman111
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I am trying to calculate the strength of the magnetic field ( in teslas ) that would be needed to deflect cosmic rays going about 99% the speed of light.

using the lorents force

http://en.wikipedia.org/wiki/Lorentz_force


I replaced force with mass times acceleration

I canceled the cross product because for this case pretend that the cosmic ray hits the magnetic field perpendicularly(eliminating the cross product)

the variable E is also canceled because I am not applying an electric force

so I end up with B= (mass times accleration) divided by (the charge in coloumbs times the velocity (99% the speed of light))

but correct me if I am wrong. I have the accleration of cosmic rays to be 10,000 m/s squared until it reaches its maximum speed

but because I am dividing by the spped of light(almost)

I end up with a (insert a huge decimal number here) Teslas

which must be incorrect because it would take many teslas to deflect cosmioc rays


PLEASE CORRECT ME

Thanks.
 
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By how much are you trying to deflect them?
Because cosmic rays can travel a LONG way in your average magnetic field without being significantly reflected. So if you are trying to change their direction a large amount in a short distance, then yes you should be expecting a very large magnetic field to be required.
 
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