Question

Calculate the electrical conductivity of the material of a conductor of length 3m , area of cross section 0.02 $m{m}^2$ having a resistance of 20 ohm

Answer 1

we have,

$R=\frac{\rho l}{A}$

$\Rightarrow \rho =\frac{RA}{l}$

$=\frac{20\times 2\times {10}^{-5}}{3}$

$\rho ={13.3310}^{-5}\Omega m$

electrical conductivity,

$\sigma =\frac{1}{\rho }$

$=\frac{1}{13.33}$

$=0.075S/m$