Resistance of a metal wire of length 2m is 30ohm at temperature 25℃. If the diameter of the wire is 0.6mm , then what will be the resistivity of the metal at that temperature?
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Answer:
2.97/700000 ohm m
Explanation:
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Answer:
Explanation:
Resistance , R = 30Ω
Length of wire , L = 2m
diameter of circular part of wire ,d = 0.6mm = 0.6 × 10⁻³m
so, base area of wire , A = πr² = πd²/4 [ ∵d = 2r]
= 3.14 × (0.6 × 10⁻³)²/4m²
= 3.14 × 36 × 10⁻⁸/4 m²
= 28.26x 10⁻⁸ m²
Now, use formula,
R = ρL/A
Here, R is the resistance, ρ is the resistivity , L is the length of wire and A is the base area of it .
So , ρ = RA/L = 30Ω × 28.26 × 10⁻⁸m²/1m
ρ = 8.478 × 10⁻⁶ Ωm
Hence, resistivity is 8.478 × 10⁻⁶ Ωm at 25°C
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