Question

Calculate the resistance of a copper wire 1.0km long and 0.05mm diameter if the resistivity of copper is 1.7x10 to the power -8 ohms m

Answer 1

Given ;

• l = 1 km => 1000m
• d = 0.05 mm => 0.005 cm => r = 0.0025 cm
• ρ(resistivity) = 1.7 × 10^-8

Therefore R = ρ ( l / A )

R =

• 1.7 × 10^-8 × 1000 / 25 × 10^-4
• 1.7 × 10^-4 × 10³ / 25
• 1.7 × 10 / 25
• 17 / 25
• = 0.68 Ω

Thus the resistance = 0.68 Ω

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