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The relationship among the Kirchhoff equations for the loop of electrical circuits - MaRDI portal

The relationship among the Kirchhoff equations for the loop of electrical circuits (Q2851601)

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scientific article; zbMATH DE number 6215435
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English
The relationship among the Kirchhoff equations for the loop of electrical circuits
scientific article; zbMATH DE number 6215435

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    14 October 2013
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    Kirchhoff equations
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    electrical circuits
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    loops
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    nodes
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    The relationship among the Kirchhoff equations for the loop of electrical circuits (English)
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    The author shows that ``if the Kirchhoff equations are satisfied for loops given by all permutations of nodes, then the Kirchhoff equations are satisfied in any loop''. The result is in fact a linear algebra result.
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