Induced shield voltage in conductor p

Any conductor p, lying parallel with a set of three conductors carrying balanced three-phase currents, will have a voltage gradient $E_p$ induced along its length.

Symbol
$E_p$
Unit
V/m
Formulae
$+j \omega I_{kb} 2{\cdot}{10}^{-7} \left(\frac{1}{2} \ln\left(\frac{S_{ap} S_{cp}}{{S_{bp}}^2}\right)+j \frac{\sqrt{3}}{2} \ln\left(\frac{S_{cp}}{S_{ap}}\right)\right)$IEEE 575-2014
$-j \omega 2{\cdot}{10}^{-7} \left(I_{ka} \ln\left(\frac{S_{ap}}{r_g}\right)+I_{kb} \ln\left(\frac{S_{bp}}{r_g}\right)+I_{kc} \ln\left(\frac{S_{cp}}{r_g}\right)\right)$Energies 2022, 15-05010