The dimension of \(\sqrt{\frac{{\mu }_{0}}{{ϵ}_{0}}}\) is equal to that of : ( \({\mu }_{0}=\) Vacuum permeability and \…

$$$$$$\begin{aligned}& L=\frac{\mu_0 N A}{\ell} \\& C=\frac{A \epsilon_0}{d} \\& \frac{L}{C} \propto \frac{\mu_0}{\epsilon_0} \\& \sqrt{\frac{\mu_0}{\epsilon_0}} \propto \sqrt{\frac{L}{C}} \\& \frac{L}{C}=\frac{\tau R}{(\tau / R)}=R^2 \\& \sqrt{\frac{\mu_0}{\epsilon_0}}=R\end{aligned}$$$$$$