| Synge, J. L. The fundamental theorem of electrical networks. Quarterly of Applied Math., 9 (1951), 113--127. |
....P (c) in a flow is P (c) P e2E r(e)c 2 (e) A flow is a current flow if it satisfies Kirchoff s voltage law, i.e. for any directed cycle u 0 ; u 1 ; u k Gamma1 ; u 0 , P k Gamma1 i=0 c(u i ; u i 1modk ) Delta r(u i ; u i 1modk ) 0. Proposition 6.4. The Minimum Power Principle, Synge 1951; also known as Thomson s Principle, Thomson Tait 1879, Doyle Snell 1984, Section 3.5. For any electrical network (V; E; r) and flow c with only one source u, one sink v, and c(u) Gammac(v) 1, we have R u;v P (c) with equality when the flow is a current flow. 24 Chandra, et al. ....
J. L. Synge, The fundamental theorem of electrical networks. Quarterly of Applied Math. 9 (1951), 113--127.
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Synge, J. L. The fundamental theorem of electrical networks. Quarterly of Applied Math., 9 (1951), 113--127.
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