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

1 Answer

6 votes

Answer:

material is aluminum by the approx value of conductivity

Step-by-step 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 =
(l)/(\sigma A)

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

σ =
(l)/(R A)

σ =
(3*10^3)/(6*\pi ((4.1)/(2) )^2)

σ = 3.79 ×
10^(7) S/m

so according to table 2-1

material is aluminum by the approx value of conductivity

User Thierry Prost
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