The resistance of a 5m uniform wire… | Physics

Question 1 Report

The resistance of a 5m uniform wire of cross-sectional area 0.2 x 10-6m2 is 0.425. What is the resistivity of the material of the wire?

1.10 x 10-6

Ω

4.25 x 10-6

Ω

2.40 x 10-7

Ω

1.70 x 10-8

Ω

Answer Details

The resistivity of a material is a measure of its resistance to the flow of electric current. It is denoted by the Greek letter rho (ρ) and has the unit of ohm-meter (Ω•m). The resistivity of a material depends on its intrinsic properties, such as its composition, temperature, and crystal structure. To find the resistivity of the material of the wire, we can use the formula: resistivity = (resistance x cross-sectional area) / length Here, we know the resistance of the wire (0.425 Ω), its length (5 m), and its cross-sectional area (0.2 x 10^-6 m^2). Substituting these values into the formula, we get: resistivity = (0.425 Ω x 0.2 x 10^-6 m^2) / 5 m resistivity = 0.017 x 10^-6 Ω•m resistivity = 1.7 x 10^-8 Ω•m Therefore, the resistivity of the material of the wire is 1.7 x 10^-8 Ω•m. Option D is the correct answer.

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The resistance of a 5m uniform wire of cross-sectional area 0.2 x 10-6m2 is 0.425. What is the resistivity of the material of the wire?

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