If a metal wire 4m long and cross-sectional area 0.8 mm2 has a resistance of 60, find the resistivity of the wire

Assessment: JAMB UTME - Physics - 2014 Subject: Physics

Question 1 Report

If a metal wire 4m long and cross-sectional area 0.8 mm2 has a resistance of 60, find the resistivity of the wire
Answer Details
The resistivity of a material is a measure of how much it resists the flow of electrical current through it. It is given by the formula: ρ = RA/L where ρ is the resistivity, R is the resistance, A is the cross-sectional area of the wire, and L is the length of the wire. In this problem, we are given the length, cross-sectional area, and resistance of the wire. So we can rearrange the formula to solve for the resistivity: ρ = RA/L = (R x A)/L Substituting the given values, we get: ρ = (60 Ω x π x (0.8 mm)^2) / (4 m) Simplifying this expression, we get: ρ = 1.2 x 10^-6 Ω m Therefore, the resistivity of the wire is 1.2 x 10^-6 Ω m. So the correct option is: - 1.2x10^-6

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