Question

A 6m long wire has diameter 0.5 mm it's resistance is 50ohm find resistivity and conductivity

Answer 1

Answer:

Resistivity (ρ) = 1.635 x 10^-6 Ωm

Conductivity (σ) = 0.611 x 10^6 Ω^-1 m-1

Explanation:

Given - Length (L) = 6m

            Diameter (d) = 0.5mm

            Resistance (R) = 50Ω

Radius = d/2 = 0.5/2 = 0.25mm = 0.25 x 10^-3m

Area (A) = πr^2 = (3.14)(0.25 x 10^-3)^2 m^2

              = 0.19625 x 10^-6 m^2

resistance (R) = ρL / A

therefore, ρ = RA/L

                    = 50 x 0.19625 x 10^-6 / 6

                    = 1.635 x 10^-6 Ωm

conductivity (σ) = L / RA

                          = 6 / 50 x 0.19625 x 10^-6

                          = 6 / 9.8125 x 10^-6

                          = 0.611 x 10^6 Ω^-1m^-1