Resistance of a metal wire of length 1 m is 26 at 20C If the diameter of the wire is 03 mm what will be the resistivity of the metal at that temperaturePredict the material of the wire CBSE Physics

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Resistance of a metal wire of length 1 m is 26 Ω at 20°C. If the diameter of the wire is 0.3 mm, what will be the resistivity of the metal at that temperature?Predict the material of the wire. -CBSE Physics




By:milan-ransingh

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We are given the resistance R of the wire = 26 Ω, the diameter
d = 0.3 mm = 3 × 10-4 m, and the length l of the wire = 1 m.
Therefore, from Eq. (12.10), the resistivity of the given metallic wire is
ρ = (RA/l) = (Rπd2/4l)
Substitution of values in this gives
ρ = 1.84 × 10–8 Ω m
The resistivity of the metal at 20°C is 1.84 × 10–8 Ω m. From
Table 12.2, we see that this is the resistivity of manganese.

Aparna-Dasgupta

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