Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 30, Problem 4P
To determine

The modified form of Gauss’s law for magnetism.

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A cube of uniformly magnetized material of side length L = 0.050 m has magnetization M = 2000 amperes per meter when sitting on the table. You then place the cube in a uniform, upward pointing magnetic field of strength Bext = 0.0040T. The cube’s magnetization vector is also pointing upward. The magnetization remains at M = 2000 A/m. (a) From what we’ve said above, must the cube be made from a paramagnetic, diamagnetic, or ferromagnetic material? (b) When the cube is sitting in the external magnetic field, what is the strength of the magnetic field inside the cube? (c) When the cube is in the external field, how much work would it take to flip the cube over?
An iron (density ρ) rod with length L, cross sectional area A, spans across two parallel, metal train tracks. The tracks are connected to a power supply and have a potential ∆V across them. Between the tracks are placed magnets such that the B-field points directly upwards with strength B. What is the acceleration of the iron rod be the moment it starts from rest? What will acceleration be as a function of speed as it continues? Assume the contact is frictionless between the tracks and the rod so that no force of friction needs to be overcome. What will the top speed of the rod be under these conditions?
Is the following True or False for the Gauss's Law for magnetic field? Since there are no magnetic monopoles, magnetic field lines can not start or end anywhere. They always come as loops. That is why magnetic flux through a closed surface is always zero: OB dA = 0 O True O False
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