Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN: 9781337900348
Author: Stephen L. Herman
Publisher: Cengage Learning
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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 × 103 MW (the output of a large power plant) at 200 kV,
DC, over a distance of 1.00 × 103 km without loss. An inner wire of radius a = 2.50 cm, made from the superconductor Nb3Sn, carries the current I in one direction. A surrounding superconducting cylinder
of radius b = 4.74 cm would carry the return current I.
b
(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 × 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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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 × 103 MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 × 103 km without loss. An inner wire of radius a = 2.50 cm, made from the superconductor Nb3Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 4.74 cm would carry the return current I. b (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 × 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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