Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 8P
Consider a right circular cylinder of radius R, with mass M uniformly distributed throughout the cylinder volume. The cylinder is set into rotation with angular speed ω about its longitudinal axis. (a) Obtain an expression for the
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A charged particle of mass m and positive charge q moves in uniform electric
3.
and magnetic fields, E and B, both pointing in the z direction. Ignoring gravity, use
Newton's second law to write down the equation of motion for the velocity of the particle
into its three components (a set of equations containing velocities and their derivatives).
Solve the equations for v with initial velocity (vo, 0, 0).
Problem 2: A charged particle of mass m and positive charge q moves in uniform electric
and magnetic fields E = Ey and B = B2. Suppose the particle starts at the origin with
initial velocity vox.
(a) Write down the (vector) equation of motion for the particle and resolve it into its three
components. Show that the motion remains in the plane z = 0.
(b) Prove that there is a unique value of vo, known as the drift speed var, for which the
charge moves undeflected through the fields, and write an expression for var in terms
of the given quantities.
(c) Solve the equations of motion to find v(t), for arbitrary initial velocity vo in the x
direction. It may be helpful to write your answer using dr. [Hint: try variable sub-
stitution to simplify your differential equations. The drift speed seems important, so
shift to a reference frame that moves at that speed.]
(d) Integrate to find r(t), and plot the trajectory for several different and representative
values of the ratio vo/vdr.
For each…
Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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