Calculate the resistance of 1 km long copper wire of radius 1 mm. Resistivity of the copper is 1.72 × 10–8 ω m.
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The resistance of 1 km long copper wire of radius 1 mm.
Resistivity of the copper is 1.72 × 10–8 ω m.
Originally Answered: If radius of a wire is doubled then what happens to its resistance.
So by doubling the radius of wire , the resistance of the wire will become 1/4 time the previous resistance.
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GIVEN THAT
- Length of copper wire = 1 km = 1000 m
- Radius of copper wire = 1 mm = 1 × 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]/[22/7×(1×10⁻³)²]
- 5.5 ohm
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