Calculate the resistence of 1 km long copper wire of
radious 1 mm. Resistivity of the
Resistivity of the copper is 1.72×10^-5
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Solution:Given: length= 1 km = 1000mradius= 1mm = 1×10^-3mand resistivity = 1.72×10^-8 ohm mArea of cross section = πr² = 3.14×(10^-3)²= 3.14× 10^-6m²Now, resistance = (resistivity×length)/(area of cross section)resistance = (1.72×10^-8×1000)/(3.14×10^-6)resietance = 1.72×10/3.14resistance = 5.478 ohmHence, the resistance of copper wire is 5.478 ohm.
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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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