Figure 29-87 shows a cross section of a hollow cylindrical conductor of radii a and b

Chapter 29, Problem 85

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Figure 29-87 shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. (a) Show that the magnetic field magnitude B(r) for the radial distance r in the range b r a is given by B m0 i2p(a2 b2)r2 b2r . (b) Show that when r a, this equation gives the magnetic field magnitude B at the surface of a long straight wire carrying current i; when r b, it gives zero magnetic field; and when b 0, it gives the magnetic field inside a solid conductor of radius a carrying current i. (c) Assume that a 2.0 cm, b 1.8 cm, and i 100 A, and then plot B(r) for the range 0 r 6 cm. ar b Figure 29-87 85.