Shown in the figure below is a long hollow wire. The wire has an inner radius of a, an outer radius of b, and is carrying a current of I.Region I Region IIRegion III(rb)(b>r>a)●Infinite Hollow Wire carrying Current IUse Ampere's Law to determine the magnetic field in each of these three regions as a function of r:Region I (r>b):Region II (a

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Answered: Use Ampere's Law to determine the…

Use Ampere's Law to determine the magnetic field in each of these three regions as a function of r: • Region 1 (nb): • Region II (a

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 83A

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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

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Shown in the figure below is a long hollow wire. The wire has an inner radius of a, an outer radius of b, and is carrying a current of I.
Region I Region II
Region III
(r<a)
(r>b)
(b>r>a)
●
Infinite Hollow Wire carrying Current I
Use Ampere's Law to determine the magnetic field in each of these three regions as a function of r:
Region I (r>b):
Region II (a<r<b):
I
o What is the length of the Ampere path?
o What is the current enclosed by your path?
o What is the magnetic field?
Region III (r<a):
infinite length
In Region II, which way is the magnetic field oriented?
Clockwise as viewed from the left
To the right
O Out of the screen
Counter-Clockwise as viewed from the left
To the Left
To the bottom of the screen
Into the screen
O To the top of the screen

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