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${\displaystyle Z_{0}={\sqrt {\frac {\mu _{0}}{\varepsilon _{0}}}}}$

${\displaystyle c_{0}={\frac {1}{\sqrt {\mu _{0}\varepsilon _{0}}}}=299,792,458{\text{ m/s}}}$ (by the SI definition of the metre)

${\displaystyle Z_{0}=\mu _{0}c_{0}=4\pi \times 10^{-7}{\text{ H/m}}\times 299,792,458{\text{ m/s}}=376.730313\ldots ~\Omega \approx 120\pi ~\Omega }$

${\displaystyle Z={\sqrt {\mu \over \varepsilon }}={\sqrt {\mu _{0} \over \varepsilon _{0}\varepsilon _{r}}}={Z_{0} \over {\sqrt {\varepsilon }}_{r}}\approx {377 \over {\sqrt {\varepsilon _{r}}}}\,\Omega }$,

${\displaystyle Z={\frac {Z_{0}}{\sqrt {1-\left({\frac {f_{c}}{f}}\right)^{2}}}}\qquad {\mbox{(TE modes)}},}$

${\displaystyle Z=Z_{0}{\sqrt {1-\left({\frac {f_{c}}{f}}\right)^{2}}}\qquad {\mbox{(TM modes)}}}$

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 This article incorporates public domain material from the General Services Administration document "Federal Standard 1037C" (in support of MIL-STD-188).