Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 26, Problem 88PP
A toroid is a solenoid-like coil bent into a circle (Fig. 26.52a). Toroids are the configuration of choice in magnetic-confinement nuclear fusion experiments, which, if successful, could provide us with an almost unlimited energy source using deuterium fuel extracted from seawater.
The ITER consortium, an international collaboration, is building a large toroidal fusion experiment in France; it’s expected to be the first fusion device to produce energy on a large scale. Figure 26.52b shows a cross section of a toroid, with current emerging from the page at the inner edge and descending at the outer edge. The black circle is an Ampèrian loop.
FIGURE 26.52 Diagram of (a) a toroidal coil and (b) a cross section of the coil (Passage Problems 88–91)
88. The magnetic field associated with the toroid is nonzero
- a. only within the “hole” in the donut-shaped coil.
- b. only within the region bounded by the coils.
- c. only outside the coils.
- d. everywhere.
89. In Fig. 26.52b, the magnetic field lines must be
- a. straight, and pointing into the page.
- b. straight, and pointing out of the page.
- c. straight, and pointing radially.
- d. circular.
90. Doubling the total number of turns N in the toroid, without changing its size or the current, will
- a. double the magnetic field.
- b. quadruple the magnetic field.
- c. halve the magnetic field.
- d. not change the magnetic field.
91. The toroid has inner radius Rin and outer radius Rout, while r is the radial coordinate measured from the center. The toroid is made from wire wound into a total of N turns, and carries current I. Which of the following is the correct formula for the magnetic field within the coils?
- a. B = μ0NI
- b. B = μ0NI/2πRin
- c. B = μ0NI/2πRout
- d. B = μ0NI/2πr
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Chapter 26 Solutions
Essential University Physics
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