A Circuit-Theoretic Anomaly Resolved by Nonstandard Analysis

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dc.creatorZemanian, A. H.
dc.date2005-09-12
dc.date.accessioned2026-07-07T05:23:08Z
dc.date.available2026-07-07T05:23:08Z
dc.descriptionAn 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.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0509261
dc.identifierhttp://arxiv.org/abs/math/0509261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76318
dc.subjectGeneral Mathematics
dc.subject94C05
dc.titleA Circuit-Theoretic Anomaly Resolved by Nonstandard Analysis
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