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Chapter 29: Q59P (page 861)
What is the magnitude of the magnetic dipole moment of the solenoid described in Problem 51?
The magnitude of the magnetic dipole moment is.
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Figure 29-32 shows four circular Amperian loops (a, b, c, d) and, in cross section, four long circular conductors (the shaded regions), all of which are concentric. Three of the conductors are hollow cylinders; the central conductor is a solid cylinder. The currents in the conductors are, from smallest radius to largest radius, 4 A out of the page, 9 A into the page, 5 A out of the page, and 3 A into the page. Rank the Amperian loops according to the magnitude ofaround each, greatest first.
In Figure a, two circular loops, with different currents but the same radius of , are centered on a y axis. They are initially separated by distance , with loop 2 positioned at the origin of the axis. The currents in the two loops produce a net magnetic field at the origin, with y component . That component is to be measured as loop 2 is gradually moved in the positive direction of the y axis. Figure b gives as a function of the position of loop 2. The curve approaches an asymptote of as . The horizontal scale is set by. (a) What are current in loop 1 and (b) What are current in loop 2?
A cylindrical cable of radius carries a current of, uniformly spread over its cross-sectional area. At what distance from the center of the wire is there a point within the wire where the magnetic field magnitude is?
In Fig. 29-43, two long straight wires at separation carry currents and out of the page. (a) Where on the x axis is the net magnetic field equal to zero? (b) If the two currents are doubled, is the zero-field point shifted toward wire 1, shifted toward wire 2, or unchanged?
Question: Figure 29-31 shows four arrangements in which long, parallel, equally spaced wires carry equal currents directly into or out of the page. Rank the arrangements according to the magnitude of the net force on the central wire due to the currents in the other wires, greatest first.
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