Impedance of armour inner surface

Definition according to Cigré guide 531 chapter 4.2.1

Symbol
$\mathscr{z}_{pin}$
Unit
$\Omega$/m
Formulae
$\frac{m_{z,ar} \rho_{ar}}{2\pi r_{z4}} \operatorname{coth}\left(m_{z,ar} \left(r_{z5}-r_{z4}\right)\right)-\frac{\rho_{ar}}{2\pi r_{z4} \left(r_{z4}+r_{z5}\right)}$