Effective impedance over ordered fields

Anna Muranova

Research output: Contribution to journalArticlepeer-review


In this paper, we study the properties of effective impedances of finite electrical networks, considering them as weighted graphs over an ordered field. We prove that a star-mesh transform of finite network does not change its effective impedance. Moreover, we consider two particular examples of infinite ladder networks (Feynman's network or LC-network and CL-network, both with zero at infinity) as networks over the ordered Levi-Cività field R. We show that the sequence of effective impedances of finite LC-networks converges to the limit in the order topology of R, but the sequence of effective impedances of finite CL-networks does not converge in the same topology. We calculate an effective impedance of a finite ladder network as an auxiliary result.

Original languageEnglish
Article number033502
JournalJournal of Mathematical Physics
Issue number3
Publication statusPublished - 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fields of Expertise

  • Information, Communication & Computing


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