Question

The dimensional formula of magnetic permeability is

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

Answer 1

Answer: (D)

$\frac{F}{l}=\frac{{\mu }_0{I}_1{I}_2}{2\pi r}$
Or $\left[{\mu }_0\right]=\frac{[F]}{[I_1{I}_2]}=\frac{[ML{T}^{-2}]}{[A^2]}=[ML{T}^{-2}{A}^{-2}]$ .