Example 5: Determine the resistance of a copper wire having a length of 1 km and
diameter of 0.5 mm
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Answer:
85 Ω
Explanation:
Diameter = 0.5mm = 0.0005 m
Length = 1km = 1000 m
Radius = diameter /2 = 0.0005/2 = 0.00025 m
We know,
Resistance = ρ × (L÷A)
where (ρ) = density of copper = 0.0017 Ωm
L = length
A = area = π × r^2 = 3.14 × (0.00025)^2
Now.
Resistance = 0.0017 × (1000 ÷ (3.14 × (0.00025)^2))
= 85 Ω
Required, Resistance is 85 Ω
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