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A beam of particles with velocity $\vec{v}$ enters a region of uniform magnetic field $\vec{B}$ that makes a small angle $\theta$ with $\vec{v}$. Show that after a particle moves a distance $\frac{2\pi
m}{qB}v \cos(\theta)$ measured along the direction of $\vec{B}$, the velocity of the particle is in the same direction as it was when it entered the field. (Look familiar:-)

Robert G. Brown 2003-02-09