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 = 1.25 cm, made from the superconductor Nb3Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.26 cm would carry the return current I.

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3. 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 =
superconductor Nb3Sn, 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
1.25 cm, made from the
%3D
conductor?
(b) What is the magnetic field at the inner surface of the outer conductor?
(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?
(d) What is the pressure exerted on the outer conductor due to the current in
the inner conductor?
Transcribed Image Text:3. 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 = superconductor Nb3Sn, 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 1.25 cm, made from the %3D conductor? (b) What is the magnetic field at the inner surface of the outer conductor? (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? (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor?
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