SSM 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 distancer in the range b
SSM 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 distancer in the range b
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Transcribed Image Text:SSM 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 =
2²-6²
ноё
2л(a²-b²) Y
a
(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 cur-
rent 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.
bar
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