Value of Vacuum Permeability/Proof 2

Proof
The vacuum permeability is the physical constant denoted $\mu_0$ defined as:


 * $\mu_0 := \dfrac 1 {\varepsilon_0c^2}$

where:
 * $\varepsilon_0$ is the vacuum permittivity defined in $\mathrm F \, \mathrm m^{-1}$ (farads per metre)
 * $c$ is the speed of light defined in $\mathrm m \, \mathrm s^{-1}$

$\varepsilon_0$ has the value determined as:
 * $\varepsilon_0 \approx 8 \cdotp 85418 \, 78128 (13) \times 10^{-12} \, \mathrm F \, \mathrm m^{-1}$

$c$ is defined precisely as:
 * $c = 299 \, 792 \, 458 \, \mathrm m \, \mathrm s^{-1}$

Hence $\mu_0$ can be calculated as: