Question

Calculate the resistance of a 1 km long wire with radius 0.5 mm (resistivity of copper is 1.72)

Answer 1

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Answer 2

GIVEN THAT

• Length of copper wire = 1 km = 1000 m
• Radius of copper wire = 0.5 mm = 0.5 × 10-³ m
• Resistivity of copper = 1.72 x 10⁻⁸

CALCULATION OF RESISTANCE

• (Resistivity of copper × Length)/(Area)
• (Resistivity of copper × Length)/(πr²)
• [1.72×10⁻⁸*1000]/[3.14×(0.5×10⁻³)²]
• [1.72*1000] / [3.14*25]
• 21.9 ohm