P29_026 - 26 The equation of motion for the proton is F = =...

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26. The equation of motion for the proton is ~ F = q~v × ~ B = q ( v x ˆ i+ v y ˆ j+ v z ˆ k) × B ˆ i= qB ( v z ˆ j v y ˆ k) = m p ~a = m p ·µ dv x dt ˆ µ dv y dt ˆ µ dv z dt ˆ k ¸ . Thus, dv x dt =0 dv y dt = ωv z dv z dt = y , where ω = eB/m p . The solution is v x = v 0 x , v y = v 0 y cos ωt and v z =
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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