A SMES (superconducting magnetic energy storage) coil is made
from a toroidal ring coil (torus). The
coil’s cross-sectional radius is d = 1 m and radius of the torus is
r = 1 km. The torus is wound with N =
150,000 turns and is able to carry a current I = 100,000 A. a)
Calculate the magnetic flux density in the
torus. b) What is the amount of energy stored in the torus? c) If a
city requires 100 MW of power how
long can this storage ring of this type power the city in case of a
blackout in power generation? Assume
there are no losses in the conversion of energy from stored dc to
ac energy required by standard grids.
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