The figure below shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. Find the magnetic field magnitude B(r) for the radial distance r (a) in the range b

The figure below shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. Find the magnetic field magnitude B(r) for the radial distance r (a) in the range b

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 46P: The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

The figure below shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. Find the magnetic field magnitude B(r) for the radial distance r (a) in the range b <r < a, (b) r = a, (c) b = 0.
(а) в %—
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(b) в %3
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(с) В %3
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