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Mutual reactance between two conductors i and j

Definition according to Cigré guide 531 chapter 4.2.3.7

Symbol
$X_{ij}$
Unit
$\Omega$/m
Formulae
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{ab}}\right)$between phases 1 + 2
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{bc}}\right)$between phases 2 + 3
$\omega \frac{\mu_0}{2\pi} \ln\left(\frac{D_E}{S_{ac}}\right)$between phases 3 + 1
Related
$D_E$
Equivalent depth of earth return path [m]
$\mu_0$
Vacuum permeability [H/m]
$\omega$
Angular frequency [rad/s]
$\pi$
Archimedes' constant $\pi$
$S_{ab}$
Distance between phases a + b [m]
$S_{ac}$
Distance between phases a + c [m]
$S_{bc}$
Distance between phases b + c [m]
Used in
$Z_{ij}$
Mutual impedance between cables with earth return [$\Omega$/m]