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Chapter 29: Q. 22 (page 831)
The value of the line integral of around the closed path in FIGURE EX29.22 is . What is?
The current
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You have a 1.0-m-long copper wire. You want to make an N-turn current loop that generates a 1.0 mT magnetic field at the center when the current is 1.0 A. You must use the entire wire. What will be the diameter of your coil?
What are the strength and direction of the magnetic field at the center of the loop in FIGURE P29.43?
Find an expression for the magnetic field strength at the center of the circular arc in FIGURE P29.45.
A long, straight conducting wire of radius R has a nonuniform current density , where is a constant. The wire carries total current I.
a. Find an expression for in terms of I and R.
b. Find an expression for the magnetic field strength inside the wire at radius r.
c. At the boundary, r = R, does your solution match the known field outside a long, straight current-carrying wire?
The toroid of is a coil of wire wrapped around a doughnut-shaped ring (a torus). Toroidal magnetic fields are used to confine fusion plasmas.
a. From symmetry, what must be the shape of the magnetic field in this toroid? Explain.
b. Consider a toroid with N closely spaced turns carrying current I. Use Amp猫re鈥檚 law to find an expression for the magnetic field strength at a point inside the torus at distance r from the axis.
c. Is a toroidal magnetic field a uniform field? Explain.
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