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Statement of a problem № 1022

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At the moment t = 0 a relativistic proton flies with a velocity v0 into the region where there is a uniform transverse electric field of strength E, with v0 ⊥ E. Find the time dependence of (a) the angle θ between the proton's velocity vector v and the initial direction of its motion; (b) the projection vx of the vector v on the initial direction of motion.

Solution:
At the moment t = 0 a relativistic proton flies with a velocity v0 into the regi

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