The reciprocal of resistance is known as conductance. It is denoted by the letter ‘G’ and is measured in mho (℧) or siemens (S).

We know that,

Resistance R= $\frac{\mathrm{\rho \; l}}{\mathrm{a}}$

Conductance, G=$\frac{1}{\mathrm{R}}$ = $\frac{1}{\frac{\mathrm{\rho \; l}}{\mathrm{a}}}$=$\frac{\mathrm{a}}{\mathrm{\rho a}}$ = $\frac{\mathrm{\sigma a}}{\mathrm{l}}$

Where ‘σ’ is known as specific conductance of conductivity, it is the reciprocal of the resistivity, and the units are mho/meter (℧/m) or siemens/meter.

As conductance is inversely proportional to resistance, which means resistance increases, the conductivity increases.

Imagine a highway as a conductor and speed bumps as resistance, and fewer speed bumps allow for a smoother journey; similarly, a conductor with higher conductance allows for increased conductivity of electricity in a metal.