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

wire material: |
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relative permeability (μ_{r}) = |
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conductance (μ_{r}) = |
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frequency |
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wire length |
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wire diameter |
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x |
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T(x) |
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Inductance ≈ |
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Reactance ≈ |
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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

μ_{0}: 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. InductanceAppendix A

REFERENCE

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

SEE ALSO

Online-calculator - Inductance of a straight conductor of thin flat section

HP 42S - Inductance of a straight conductor of circular section

HP 42S - Inductance of a straight conductor of thin flat section

Online-calculator - Synthesize/Analize microstrip transmission line

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