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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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Shows four identical currents iand five Amperian paths (athrough e) encircling them. Rank the paths according to the value of taken in the directions shown, most positive first.
Figure 29-50ashows, in cross section, two long, parallel wires carrying current and separated by distance L. The ratio i1/i2 of their currents is; the directions of the currents are not indicated. Figure 29-50bshows the ycomponent Byof their net magnetic field along the xaxis to the right of wire 2. The vertical scale is set by , and the horizontal scale is set by . (a) At what value of is Bymaximum?(b) If , what is the value of that maximum? What is the direction (into or out of the page) of (c) i1 and (d) i2?
Figure 29-85 shows, in cross section, two long parallel wires that are separated by distance . Each carries , out of the page in wire 1 and into the page in wire 2. In unit-vector notation, what is the net magnetic field at point Pat distance , due to the two currents?
Figure 29-88 shows a cross section of a long conducting coaxial cable and gives its radii (a,b,c). Equal but opposite currents iare uniformly distributed in the two conductors. Derive expressions for B (r) with radial distance rin the ranges (a) r < c, (b) c< r <b , (c) b < r < a, and (d) r > a . (e) Test these expressions for all the special cases that occur to you. (f) Assume that a = 2.0 cm, b = 1.8 cm, c = 0.40 cm, and i = 120 A and plot the function B (r) over the range 0 < r < 3 cm .
The current-carrying wire loop in Fig. 29-60a lies all in one plane and consists of a semicircle of radius , a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle, until it is perpendicular to the plane (Fig.29-60b). Figure 29-60c gives the magnitude of the net magnetic field at the center of curvature versus angle . The vertical scale is set by. What is the radius of the smaller semicircle?
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