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The use of superconductors has been proposed for power transmission lines. A single coaxial cable (see figure below) could carry a power of 1.00 x 103 MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 x 10³ km without loss. An inner wire of radius a = 2.40 cm, made from the superconductor Nb-Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.26 cm would carry the return current I. (a) In such a system, what is the magnetic field at the surface of the inner conductor? mT (b) What is the magnetic field the inner surface of the outer conductor? mT (c) How much energy would be stored in the magnetic field in the space between the conductors in a 1.00 x 10³ km superconducting line? MJ (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor? Pa

The use of superconductors has been proposed for power transmission lines. A single coaxial cable (see figure below) could carry a power of 1.00 x 103 MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 x 10³ km without loss. An inner wire of radius a = 2.40 cm, made from the superconductor Nb-Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.26 cm would carry the return current I. (a) In such a system, what is the magnetic field at the surface of the inner conductor? mT (b) What is the magnetic field the inner surface of the outer conductor? mT (c) How much energy would be stored in the magnetic field in the space between the conductors in a 1.00 x 10³ km superconducting line? MJ (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor? Pa

College Physics
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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The use of superconductors has been proposed for power transmission lines. A single coaxial cable (see figure below) could carry a power of 1.00 x 10³ MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 x 10³ km without loss. An inner wire of radius a = 2.40 cm, made from the superconductor Nb, Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.26 cm would carry the return current I. Ⓡ (a) In such a system, what is the magnetic field at the surface of the inner conductor? mT (b) What is the magnetic field at the inner surface of the outer conductor? mT (c) How much energy would be stored in the magnetic field in the space between the conductors in a 1.00 x 10³ km superconducting line? MJ (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor? Pa
Transcribed Image Text:The use of superconductors has been proposed for power transmission lines. A single coaxial cable (see figure below) could carry a power of 1.00 x 10³ MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 x 10³ km without loss. An inner wire of radius a = 2.40 cm, made from the superconductor Nb, Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.26 cm would carry the return current I. Ⓡ (a) In such a system, what is the magnetic field at the surface of the inner conductor? mT (b) What is the magnetic field at the inner surface of the outer conductor? mT (c) How much energy would be stored in the magnetic field in the space between the conductors in a 1.00 x 10³ km superconducting line? MJ (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor? Pa
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