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Chapter 29: Q. 15 (page 830)
Point A in FIGURE EX29.15 is from the wire. What is the magnetic field strength at point A? You can assume that the wire is very long and that all other wires are too far away to contribute to the magnetic field.
The magnetic field strength at point A is.
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Radio astronomers detect electromagnetic radiation at 45 MHz from an interstellar gas cloud. They suspect this radiation is emitted by electrons spiraling in a magnetic field. What is the magnetic field strength inside the gas cloud?
The 10-turn loop of wire shown in FIGURE P29.71 lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 A current. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop. What magnetic field strength will prevent the loop from rotating about the axle?
The lightweight glass sphere in FIGURE Q29.1 hangs by a thread. The north pole of a bar magnet is brought near the sphere.
a. Suppose the sphere is electrically neutral. Is it attracted to, repelled by, or not affected by the magnet? Explain.
b. Answer the same question if the sphere is positively charged.
shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio . The sample is ionized, the positive ions are accelerated (starting from rest) through a potential differencelocalid="1648976601527" , and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass spectrometer with localid="1648976606181" a magnetic field and an localid="1648976610307" spacing between the entrance and exit holes. To five significant figures, what accelerating potential differences localid="1648978768434" are required to detect the ions localid="1648978902862" and localid="1648978898077" ? See Exercise localid="1648978753549" for atomic masses; the mass of the missing electron is less than localid="1648978758219" and is not relevant at this level of precision. Although localid="1648978910549" and localid="1648978778238" both have a nominal molecular mass of localid="1648978782098" , they are easily distinguished by virtue of their slightly different accelerating voltages. Use the following constants:
FIGURE EX29.37 is a cross section through three long wires with linear mass density 50 g/m. They each carry equal currents in the directions shown. The lower two wires are 4.0 cm apart and are attached to a table. What current I will allow the upper wire to 鈥渇loat鈥� so as to form an equilateral triangle with the lower wires?
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