In a Coaxial Cable, a solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c as shown in Figure. The central conductor and tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a c) Repeat the Exercise for the case in which the current in the central, solid conductor is I, the current in the tube is 12, and these currents are in the same direction rather than in opposite directions.

In a Coaxial Cable, a solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c as shown in Figure. The central conductor and tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a c) Repeat the Exercise for the case in which the current in the central, solid conductor is I, the current in the tube is 12, and these currents are in the same direction rather than in opposite directions.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

In a Coaxial Cable, a solid conductor with radius a is supported
by insulating disks on the axis of a conducting tube with inner
a
radius b and outer radius c as shown in Figure. The central
conductor and tube carry equal currents I in opposite directions.
The currents are distributed uniformly over the cross sections of
each conductor. Derive an expression for the magnitude of the magnetic field (a) at points
outside the central, solid conductor but inside the tube (a <r< b) and (b) at points outside the
tube (r>c)
Repeat the Exercise for the case in which the current in the central, solid conductor is Ij, the
current in the tube is 12, and these currents are in the same direction rather than in opposite
directions.

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