Here's how we break it down:
* M: Mass
* L: Length
* T: Time
* I: Electric Current
Let's derive it from the definition of conductivity:
* Conductivity (σ) = Current density (J) / Electric field (E)
Now, let's break down the dimensions of each component:
* Current density (J): Current per unit area, so its dimension is [I/L²] = [I L⁻²]
* Electric field (E): Force per unit charge, so its dimension is [M L T⁻² / I T] = [M L T⁻³ I⁻¹]
Therefore, the dimension of conductivity is:
σ = [J/E] = [I L⁻² / (M L T⁻³ I⁻¹)] = [M⁻¹L⁻³T³I²]