AWhat changed
Kirchhoff gives a combinatorial solution of steady linear wire-network currents using independent cycles, resistance products and sums of electromotive forces around the remaining cycles.
Scientific scope
Kirchhoff gives a combinatorial solution of steady linear wire-network currents using independent cycles, resistance products and sums of electromotive forces around the remaining cycles. The graph-based solution concerns the stated linear electrical network, resistances and circuit constraints. Connectivity/uniqueness and exceptional parameter choices matter. It does not model arbitrary nonlinear/time-varying circuits or give a universal numerical conditioning guarantee. The 1845 current/loop laws and later general graph theorems remain separate contributions.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Gustav Robert Kirchhoff · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- G. Kirchhoff, Ueber die Aufloesung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Stroeme gefuehrt wird (1847), original facsimile
- Wikisource author and work index for Gustav Robert Kirchhoff: the 1845, 1846 and 1847 electrical papers
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
Full scientific record · Browse contribution grades · Request a correction