Question

What is the dimensional formula of resistivity?

Answer 1

1. Resistivity, a material attribute, seems to be useful when comparing different materials based on their capacity to conduct electric currents. Poor conductors have high resistance.
2. Resistivity is denoted by the symbol $\mathrm{\rho }$.

Dimensional formula:

The formula to find resistivity is:

$$\begin{gathered} \mathrm{Resistivity}=\frac{\mathrm{Resistance}\times \mathrm{Area}}{\mathrm{Length}} \\ =\frac{\left[{\mathrm{ML}}^2{\mathrm{T}}^{-3}{\mathrm{A}}^{-2}\right]\left[{\mathrm{L}}^2\right]}{\mathrm{L}} \\ =\left[{\mathrm{ML}}^3{\mathrm{T}}^{-3}{\mathrm{A}}^{-2}\right] \end{gathered}$$

Therefore, the dimensional formula of resistivity will be $\left[{\mathrm{ML}}^3{\mathrm{T}}^{-3}{\mathrm{A}}^{-2}\right]$.