Cableizer ®

Capacitance to earth

Symbol
$C_{E}$
Unit
F/m
Formulas
$C_{b}$Single-core or multi-core with separate screen or sheath or > 36 kV
$\frac{2\pi \epsilon_{0} \epsilon_{i}}{\ln\left(\frac{{r_{osc}}^4-{c_{c}}^4}{2c_{c} r_{isc} {r_{osc}}^2}\right)}$Two-core belted cables (with common screen or no screen but common sheath or no screen/sheath)
$\frac{2\pi \epsilon_{0} \epsilon_{i}}{\ln\left(\frac{{r_{osc}}^6-{c_{c}}^6}{3{c_{c}}^2 r_{isc} {r_{osc}}^3}\right)}$Three-core belted cables (with common screen or no screen but common sheath or no screen/sheath)
Related
$C_{b}$
Capacitance insulation [F/m]
$c_{c}$
Distance conductor axis—cable axis [mm]
$\epsilon_{0}$
Vacuum permittivity [F/m]
$\epsilon_{i}$
Relative permittivity insulation material
$\pi$
Archimedes' constant $\pi$
$r_{isc}$
Radius above the inner semi-conducting layer [mm]
$r_{osc}$
Radius over capacitive insulation layers [mm]
Used in
$I_{Ce}$
Capacitive earth short-circuit current [A/m]