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4.
Figure in the below 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 rin the range. b<r<a is given by
b)
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)
Show that when r= a, this equation gives the magnetic field magnitude B at the surface of a long straight wire carrying current i;
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.
b

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