Question #211211
What will be resistivity of a metal wire of 2m length and 0.6 mm in diameter, if the resistance of the wire is 50




1
Expert's answer
2021-06-28T17:09:03-0400

l= 2 m

d = 0.6 mm

R= 50 Ω

Radius of wire r=0.3  mm=0.3×103  mr = 0.3\; mm = 0.3 \times 10^{-3} \;m

Area of cross section:

A=πr2A=3.14×(0.3×103)2=0.2826×106  m2R=ρ×lA50=ρ×20.2826×106ρ=50×0.2826×1062=7.065×106  mA = πr^2 \\ A = 3.14 \times (0.3 \times 10^{-3})^2 = 0.2826 \times 10^{-6}\;m^2 \\ R = ρ \times \frac{l}{A} \\ 50 = ρ \times \frac{2}{0.2826 \times 10^{-6}} \\ ρ = \frac{50 \times 0.2826 \times 10^{-6}}{2} = 7.065 \times 10^{-6} \;Ωm


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