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From Transmission Lines and Networks by Walter C. Johnson, McGraw-Hill 1963 p58.
Nominal depth of penetration for a conductor
Where ρ = Is the resistivity of the conductor in Ω/m
f= frequency in Hertz
μ = Is the absolute magnetic permeability of the conductor
The absolute magnetic permeability (μ) = μo x μr
μo = 4π x 10-7 H/m
The values for μr are from Transmission Line Design Handbook by Brian C Wadell, Artech House 1991 Table 9.3.2 page 446.
The values for ρ are from CRC Handbook of Chemistry and Physics 1st Student Edition 1998 page F-88 and are for high purity elements at 20°C.