A negligible small current is passed through a wire of length 15 m and uniform cross section `6.0 xx 10^-7 m^2` and its resistance is measured to be `5.0 Omega`. What is the resistivity of the material?

Explanation

Length (l) = 15 m
Area of cross-section of wire = `A= 6.6 xx 10^(-7) m^2`
Resistance `= R= 5.0 Omega`
Resistivity of material of wire `= rho = ?`
`R = rho (l)/A`
`implies rho = (RA)/(l) =(5.0xx6.0xx10^(-7))/15`
`rho = 2 xx10^(-7)Omega m`