2005/09/12 by A. H. Zemanian, Zemanian, A. H.
Computer Science · Mathematics · #94C05 #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Analysis #math.GM #msc:94C05
paper · pdf · doi:10.48550/arxiv.math/0509261
8 pages, 2 figures
arxiv created 2005/09/12 · openalex publication_date 2005/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An anomaly in electrical circuit theory is the disappearance of some of the energy when two capacitors, one charged and the other uncharged, are connected together through resistanceless wires. Nonstandard analysis shows that, when the wires are taken to have infinitesimally small but nonzero resistance, the energy dissipated in the wires equals that substantial amount of enregy that had disappeared, and that all but an infinitesimal amount of this dissipation occurs during an infinitesimal initial time period.