In Section 28-6, we showed that a particle of charge q and mass m will move in a circle of
In Section 28-6, we showed that a particle of charge q and mass m will move in a circle of radius r = mv/|q|B when its velocity v is perpendicular to a uniform magnetic field β. We also found that the period Z of the motion is independent of speed v. These two results are approximately correct if v << c. For relativistic speeds, we must use the correct equation for the radius: r = p/|q|B = γmv/|q|B.
(a) Using this equation and the definition of period (T = 2πr/v), find the correct expression for the period.
(b) Is Z independent of v? If a 10.0MeV electron moves in a circular path in a uniform magnetic field of magnitude 2.20 T what are
(c) The radius according to
(d) The correct radius,
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