Answered

A 3 km long AWG-6 metallic wire has a resistance of approximately 6Ω at 20 °C. What material is it made of?

Answer :

Answer:

material is aluminum by the approx value of conductivity

Explanation:

given data

length = 3 km

temperature = 20 °C

metallic wire = AWG-6

resistance = 6Ω

to find out

What material is it made of

solution

we know that AWG - 6 has a diameter of 4.1 mm

so we know resistance R is

R =  [tex]\frac{l}{\sigma A}[/tex]

here A is area and R is resistance and l is length so find here σ

σ = [tex]\frac{l}{R A}[/tex]

σ = [tex]\frac{3*10^3}{6*\pi (\frac{4.1}{2} )^2}[/tex]

σ = 3.79 ×[tex]10^{7}[/tex] S/m

so according to table 2-1

material is aluminum by the approx value of conductivity

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