Some Mapping Properties of RC and RL Driving-Point Impedance Functions

Thomas S Huang

Research output: Contribution to journalArticlepeer-review


We show that an RC or RL driving-point impedance function Z(s) maps the closed right-half s plane onto a region in the Z plane which is covered hy the closed circular disk with the straight line segment joining Z(0) and Z(∞) as a diameter; and which covers the open circular disk with center at Z(u) and radius [formula omitted], and the straight line segment Z = Z(u) + jtuZ'(u), – 1 < t < 1, for any real positive number u.

Original languageEnglish (US)
Pages (from-to)257-259
Number of pages3
JournalIEEE Transactions on Circuit Theory
Issue number2
StatePublished - Jun 1965
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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