Inductance of a straight conductor of circular section

Straight conductor
of circular section Relative permiability and conductance
of popular materials

Formulas used

[μH]

where,
d : diamiter of the wire [cm]
f : frequency [Hz]
ℓ : length of the wire [cm]
μ_r : relative permiability of the conducting material
μ₀ : 4 π × 10^-7 [H/m]

T(x) is an AC correction from tables [2], and is asympimated by curve fitting with
a precision of a few percent for 0 ≤ x ≤ 100. For large x, T(x) approaches zero.

Fig.1 Conductor length V.S. Inductance

Appendix A

REFERENCE

Brian C. Wadell, "Transmission line design handbook", Artech House, Boston, 1991.
F.W. Grouvers, "Inductance calculations", Van Nostrand, New York, 1946.

wire material:
relative permeability (μ_r) =
conductance (μ_r) =	MS/m
frequency	MHz
wire length	mm
wire diameter	mm
x
T(x)
Inductance ≈	nH
Reactance ≈	Ω