Question

The dimensional formula for magnetic permeability $\mu$ is

• A. $\left[ML{T}^{-2}{A}^{-2}\right]$
• B. $\left[M^0{L}^{-1}T\right]$
• C. $\left[M^0{L}^2{T}^{-2}A-2\right]$
• D. $\left[M{L}^2{T}^{-2}A-2\right]$

Answer 1

The correct option is A $\left[ML{T}^{-2}{A}^{-2}\right]$

Magnetic permeability is a constant of proportionality that exists between magnetic induction and magnetic field intensity.

In SI units, permeability is measured in henries per meter $H/m$ or $H{m}^{-1}$.

Henry has the dimensions of $\left[M{L}^2{T}^{-2}{A}^{-2}\right]$.

Dimensions for magnetic permeability will be $\left[M{L}^2{T}^{-2}{A}^{-2}\right]/\left[L\right]=$$\left[ML{T}^{-2}{A}^{-2}\right]$