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Mutual impedance of sheath

Definition according to Cigré guide 531 chapter 4.2.2.5 for composite screen and sheath ($z_8$)

Symbol
$\mathscr{z}_{4,sh}$
Unit
$\Omega$/m
Formulae
$\frac{m_{z,sh} \rho_{sh}}{\pi \left(r_{z2,sh}+r_{z3,sh}\right)} \frac{1}{sinh\left(m_{z,sh} \left(r_{z3,sh}-r_{z2,sh}\right)\right)}$
Related
$m_{z,sh}$
Parameter m of sheath
$\pi$
Archimedes' constant $\pi$
$r_{z2,sh}$
Radius of sheath (inner) [m]
$r_{z3,sh}$
Radius of sheath (outer) [m]
$\rho_{sh}$
Specific electrical resistivity of sheath material [$\Omega$.m]
Used in
$\mathscr{z}_4$
Mutual impedance of shield [$\Omega$/m]
$\mathscr{z}_5$
Impedance of shield outer surface [$\Omega$/m]