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253-hwk-30b

253-hwk-30b - 4 Serway& Jewett Problem 30 31 An...

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HPHY 253 Homework 30b Dr. A. E. Bak Name 30 : 24 . A long, thin, straight wire lies on a horizontal table and carries a current of 1 : 20 . In a vacuum, a proton moves parallel to the wire (opposite the current) with a constant speed of 2 : 30 10 4 m=s at a distance d above the wire. Determine the value of d . Ignore Earth±s magnetic ²eld. 2. An in²nitely long, cylindrical wire of radius R carries a current I within it. This current is uniformly distributed over any cross-section of the wire. Find the magnetic ²eld inside and outside the wire. 30 : 28 . The magnetic coils of a tokamak fusion reactor are in the shape of a toroid having an inner radius of 0 : 700 m and an outer radius of 1 : 30 m . The toroid has 900 turns of large-diameter wire, each of which carries a current of 14 : 0 kA . (a) Find the magnetic-²eld magnitude inside the toroid along the inner radius. (b) Find the magnetic-²eld magnitude inside the toroid along the outer radius.
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Unformatted text preview: 4. Serway & Jewett Problem 30 : 31 . An in²nitely long, cylindrical conductor of radius R carries a current I as shown in Figure P 30 : 31 . The current-density magnitude J , however, is not uniform over any cross-section of the conductor, but rather is a function J = Cr , where C is a positive constant and r is the perpendicular distance from the cylinder±s axis. (a) Find an expression for the magnetic-²eld magnitude at any distance r < R . (b) Find an expression for the magnetic-²eld magnitude at any distance r > R . 5. A thin, conducting, in²nite plate, carrying a uniform charge density ± , initially lies at rest in the xy plane. The plate is set into motion with a constant speed v in the + x direction. Find the magnetic ²eld outside the plate. Suggestion: Symmetry dictates that the magnetic ²eld magnitude be constant. 1...
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