The dimensions of electrical conductivity is

CALCULATION:

1. The resistance may be written as

\(⇒ R =\frac{V}{I} =\frac{W}{I^2t^{}}\)

Where W is the work done and I is the current and t is the time

The dimension of R will be given by

\(⇒ \frac{W}{I^2t^{}}= \frac{ML^{2}T^{-2}}{A^{2}T} = ML^{2}T^{-3}A^{-2}\)

2. The resistivity is given by

\(⇒ \rho = \frac{RA}{l}\)

Where A =Area and l = length

The dimension of resistivity is 

\(⇒ \rho = \frac{RA}{l} = \frac{ML^{2}T^{-3}A^{2}\times L^{2}}{L} = ML^{3}T^{-3}A^{-2} \)

3. As we know, the conductivity is the inverse of resistivity taking the inverse of the dimension of resistivity, then the dimension of electrical conductivity is 

⇒ σ = M-1L-3T3A2