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

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

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter4: Transmission Line Parameters

Section: Chapter Questions

Problem 4.8MCQ: An ac resistance is higher than a dc resistance. True False

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