A 1.0m long wire has 1mm diametre and resistance of 7ohm .Calculate the resistivity of the material
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Answer:Given :-
l = 0.1 m = 1000 mm
d = 0.2 mm
r = 0.1 mm
R = 10 Ω
To Find :-
Resistivity of its material.
Solution :-
ρ = R × A/l
Cross sectional area = πr²
⇒ A = π × (0.1)²
⇒ A = 0.0314 mm²
⇒ ρ = 0.000314 Ω - mm
⇒ ρ≃ 3.14 × 10⁻⁷ Ω m
Hence, the resistivity of its material is 3.14 × 10⁻⁷ Ω m.
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