Question

Dimensions of $\frac{1}{{\mu }_0{ϵ}_0}$ , where symbols have their usual meaning are :

• A. $L^{-1}T$
• B. $L^2{T}^2$
• C. $L^2{T}^{-2}$
• D. ${LT}^{-1}T$

Answer 1

The correct option is C $L^2{T}^{-2}$

${\mu }_0=N/A^2$
$E_0=c^2/N{m}^2$
$\frac{1}{{\mu }_0{E}_0}=\frac{1}{N/A^2\times c^2/N{m}^2}=\frac{m^2}{\frac{A^2{T}^2}{A^2}}=L^2{T}^{-2}$
C$\to$charge
A$\to$current
T$\to$Time