Note on the Definition and Calculation of the Per-Unit-Length Internal Impedance of a Uniform Conducting Wire

The Thevenin theorem is used to define the internal impedance per unit length (p.u.l.) of a uniform conducting wire of arbitrary cross-sectional geometry. Two different boundary value problems are then proposed for the calculation of the internal impedance of the wire, which are both consistent with...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2007-08, Vol.49 (3), p.677-681
Main Authors: Aosheng Rong, Cangellaris, A.C.
Format: Article
Language:English
Subjects:
Applied sciences
Boundary value problems
Conduction
Cross sections
Design. Technologies. Operation analysis. Testing
Electromagnetic compatibility
Electromagnetics
Electronics
Exact sciences and technology
Exact solutions
Frequency-dependent loss
Geometry
Impedance
Integrated circuit interconnections
Integrated circuits
interconnect modeling
internal impedance
Mathematical analysis
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Skin effect
Wire
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Summary:The Thevenin theorem is used to define the internal impedance per unit length (p.u.l.) of a uniform conducting wire of arbitrary cross-sectional geometry. Two different boundary value problems are then proposed for the calculation of the internal impedance of the wire, which are both consistent with the proposed Thevenin theorem-based definition. For the important case of rectangular conducting strips, an advantage is taken of the separable cross-sectional geometry for the development of analytical expressions for the internal impedance of the wires. It is shown that these expressions reproduce correctly both the resistance of the wire p.u.l. length at dc and the trend of R (omega) ap omega L (omega) at sufficiently high frequencies such that the skin effect is well developed.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2007.903043