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17/07/2021 3:44 pm
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Calculate the resistance of an aluminium cable of length 10 km and diameter 2.0 mm if the resistivity of aluminium is 2.7 x 10-8Ωm.
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17/07/2021 3:48 pm
I = 10 km = 10000 m
d = 2 mm
r = 1 mm = 10-3 m
ρ = 2.7 x 10-8Ωm
R = ρ\(\frac{I}{A}\)
= \(2.7 \times 10^{-8} \times \frac{10000}{3.14 \times (10^{-3})^2}\)
= 0.859 x 102Ω
= 86 Ω