Question
What is conductance and conductivity $($specific conductance$)?$

Answer

$\rightarrow$ "The inverse of resistance, $R$ is called conductance, $G"G =\frac{1}{ R }=\frac{ A }{\rho \cdot l}$
$G = K \left(\frac{ A }{l}\right)\left(\because K \text { conductivity }=\frac{1}{\text { resistivity } \rho}\right)$
$\rightarrow$ The $SI$ unit of conductance is siemens, represented by the symbol $' S\ '$ and is equal to ohm $^{-1}$ $($also known as mho$)$ or $\Omega^{-1}$
$\rightarrow$ "The inverse of resistivity, called conductivity $($specific conductors$)$ is represented by the symbol, $k$ $($greek, kappa$)$"
$\rightarrow$ The $SI$ unit of conductivity are $S\ m ^{-1}$ but quite often, $k$ is expressed in $S$
$cm ^{-1}$
$\rightarrow$ Conductivity of a material in $S\ cm ^{-1}$is its conductance when it is $1 m$ long and its area of crosss sections $1m^2$.
$1S\ cm ^{-1}=100 Sm ^{-1} \text .$

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