calculate the resistance of 1km long copper wire of radius 1mm . Resistivity of copper is 1.72×10*-8ohm
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Answered by
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Answer:
5.48
Explanation:
Here, length of the wire, l=1km=1000m
radius of the wire, r=1mm=10−3m, resistivity of cooper, ρ=1.72×10−8Ωm
cross-sectional area of the wire, A=πr2=3.14×(10−3m)2=3.14×10−6m2
If R is the resistance of the given wire, then R=ρlA=(1.72×10−8Ωm)×(1000m)3.14×10−6m2=5.48Ω.
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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 × 10-⁷ohm
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