Polyethylene Inner Outer conductor conductor a dr Current direction End view b. Figure 26.8 (Example 26.3) A coax- ial cable. (a) Polyethylene plastic fills the gap between the two conductors. (b) End view, showing current leakage.

Polyethylene Inner Outer conductor conductor a dr Current direction End view b. Figure 26.8 (Example 26.3) A coax- ial cable. (a) Polyethylene plastic fills the gap between the two conductors. (b) End view, showing current leakage.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 81CP: A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The...

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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

Coaxial cables are used extensively for cable television and other electronic applications. A coaxial cable consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic as shown in 26.8a. Current leakage through the plastic, in the radial direction, is unwanted. (The cable is designed to conduct current along its length, but that is not the current being considered here.) The radius of the inner conductor is a = 0.500 cm, the radius of the outer conductor is b = 1.75 cm, and the length is L = 15.0 cm. The resistivity of the plastic is 1.0 x 10¹³ Ω ⋅ m. Calculate the radial resistance of the plastic between the two conductors.

Polyethylene
Inner
Outer
conductor conductor
a
dr
Current
direction
End view
b.
Figure 26.8 (Example 26.3) A coax-
ial cable. (a) Polyethylene plastic fills
the gap between the two conductors.
(b) End view, showing current leakage.

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