Resistance of a metal wire of length 2 m is 35 ohm at 30 digree centigrade if the diameter of the wire is 0.4mm what will be the resistivity of the metal at that temperature??
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Answer: 2.275 ×10⁻⁶ Ω-m
Explanation:
Resistance of a metal wire is given by:
where ρ is the resistivity, l is the length of the wire and A is the area of the cross-section.
It is given that, R = 35 Ω
length, l = 2 m
Diameter of area, d = 0.4 mm
Radius, r = 0.2 mm
Area of the wire, A = 0.13 ×10⁻⁶ m²
Thus, ρ = ( R × A)/ l = (35 Ω ×0.13 ×10⁻⁶ m²)÷2 m = 2.275 ×10⁻⁶ Ω-m
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