Review. The use of superconductors has been proposec or power transmission lines. A single coaxial cable Fig. P32.75) could carry a power of 1.00 × 10³ MW the output of a large power plant) at 200 kV, DC, over distance of 1.00 × 10³ km without loss. An inne vire of radius a = 2.00 cm, made from the supercon luctor Nb,Sn, carries the current I in one direction à surrounding superconducting cylinder of radiu 5.00 cm would carry the return current I. In such system, what is the magnetic field (a) at the surface of the inner conductor and (b) at the inner surface o he outer conductor? (c) How much energy would be tored in the magnetic field in the space between the onductors in a 1.00 × 10³ km superconducting line? d) What is the pressure exerted on the outer conduc or due to the current in the inner conductor? =

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Please solve part (d). Part (a), (b) and (c) are already answered by Bartleby.

Review. The use of superconductors has been proposed
for power transmission lines. A single coaxial cable
(Fig. P32.75) 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 = 2.00 cm, made from the supercon-
ductor Nb, Sn, carries the current I in one direction.
A surrounding superconducting cylinder of radius
5.00 cm would carry the return current I. In such
a system, what is the magnetic field (a) at the surface
of the inner conductor and (b) 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 conduc-
tor due to the current in the inner conductor?
b
=
I
b
I
Transcribed Image Text:Review. The use of superconductors has been proposed for power transmission lines. A single coaxial cable (Fig. P32.75) 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 = 2.00 cm, made from the supercon- ductor Nb, Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius 5.00 cm would carry the return current I. In such a system, what is the magnetic field (a) at the surface of the inner conductor and (b) 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 conduc- tor due to the current in the inner conductor? b = I b I
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