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Chapter 29: Q4P (page 856)
A straight conductor carrying current splits into identical semicircular arcs as shown in Figure. What is the magnetic field at the center C of the resulting circular loop?
The magnetic field at the center is.
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A current is set up in a wire loop consisting of a semicircle of radius,a smaller concentric semicircle, and tworadial straight lengths, all in the same plane. Figure 29-47ashows the arrangement but is not drawn to scale. The magnitude of the magnetic field produced at the center of curvature is . The smaller semicircle is then flipped over (rotated) until the loop is again entirely in the same plane (Figure29-47 b).The magnetic field produced at the (same) center of curvature now has magnitude , and its direction is reversed. What is the radius of the smaller semicircle.
In Fig. 29-48 part of a long insulated wire carrying currentis bentinto a circular section of radius . In unit-vector notation, what is the magnetic field at the center of curvature Cif the circular section (a) lies in the plane of the page as shown and (b) is perpendicular to the plane of the page after being rotated counterclockwise as indicated?
Question: Figure 29-72 shows an arrangement known as a Helmholtz coil. It consists of two circular coaxial coils, each ofand radius, separated by a distance. The two coils carry equal currentsin the same direction. Find the magnitude of the net magnetic field at P, midway between the coils.
Question: Figure 29-56ashows two wires, each carrying a current .Wire 1 consists of a circular arc of radius Rand two radial lengths; it carries current in the direction indicated. Wire 2 is long and straight; it carries a current i2 that can be varied; and it is at distancefrom the center of the arc. The net magnetic field due to the two currents is measured at the center of curvature of the arc. Figure 29-56bis a plot of the component of in the direction perpendicular to the figure as a function of current i2. The horizontal scale is set by. What is the angle subtended by the arc?
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?
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