A wire 1.0m long and with cross-sectional area 2.0 x 10-7 m2 has a resistance of 0.1\(\Omega\). Calculate the electrical conductivity of the wire

Assessment: WAEC SSCE - Physics - 2008 (Objective) Subject: Physics

Question 1 Report

A wire 1.0m long and with cross-sectional area 2.0 x 10^-7 m² has a resistance of 0.1\(\Omega\). Calculate the electrical conductivity of the wire

2.0 x 10⁷\(\Omega^{-1} m^{-1}\)

5.0 x 10⁷\(\Omega^{-1} m^{-1}\)

2.0 x 10⁸\(\Omega^{-1} m^{-1}\)

5.0 x 10⁸\(\Omega^{-1} m^{-1}\)

Answer Details

The electrical conductivity of a wire is defined as the inverse of its electrical resistivity, which is given by the formula: resistivity = (resistance x cross-sectional area) / length We can rearrange this formula to solve for the conductivity: conductivity = (length / cross-sectional area) x (1 / resistance) Substituting the given values, we get: conductivity = (1.0 m / 2.0 x 10^-7 m^2) x (1 / 0.1 Ω) = 5.0 x 10^7 Ω^-1 m^-1 Therefore, the electrical conductivity of the wire is 5.0 x 10^7 Ω^-1 m^-1.

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Electrostatics

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A wire 1.0m long and with cross-sectional area 2.0 x 10-7 m2 has a resistance of 0.1\(\Omega\). Calculate the electrical conductivity of the wire

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