A copper wire of length 100 metres has a resistance of 5 ohms. Calculate the diameter of
the wire, given that the resistivity of copper is 1.7 x 10-6 ohm-m. (Ans.: 0.65 * 10–³ m)
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Consider The resistivity of copper ρ = 1.7 × 10−8 Ω-m
Given length of wire l = 100 m
Resistance R = 5 Ω
Using R = ρl/A
A = ρl/R
A = 1.7 × 10−8 x 100/5
A = 34 x 10−8 m2
πr2 = A = 34 x 10−8 m2
r2 = 10.8 x 10-8 m2
r = 3.28 x 10-4 m
Thus diameter is 2r = 6.56 x 10-4 m
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