What is the resistance of one of the rails of
a railway track 20 km long at 20° C? The
cross section area of rail is 25 cm and the
rail is made of steel having resistivity at
20° C as 6x10-8 2 m.
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Answered by
101
given, length of railway track , l = 20km = 20000 m = 2 × 10⁴ m
cross sectional area of rail, A = 25cm² = 25 × (10^-2)² = 2.5 × 10^-3 m²
resistivity of material used in track, ρ = 6 × 10^-8 Ωm
use formula,
R = ρl/A
= 6 × 10^-8 × 2 × 10⁴/(2.5 × 10^-3)
= 12 × 10^-4/(2.5 × 10^-3)
= 4.8 × 10^-1
= 0.48 Ω
hence, resistance of the railway track is 0.48 Ω.
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