The dual of the special case of mesh analysis is nodal analysis.
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Rank plays the same role in nodal analysis as nullity plays in mesh analysis.
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Solution methods : nodal and mesh analysis.
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A particularly straightforward choice is that used in mesh analysis in which the loops are all chosen to be meshes.
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Note that mesh analysis and node analysis also implicitly use superposition so these too, are only applicable to linear circuits.
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Mesh analysis can only be applied if it is possible to map the graph on to a plane or a sphere without any of the branches crossing over.
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In analyzing a circuit using Kirchhoff's circuit laws, one can either do nodal analysis using Kirchhoff's current law ( KCL ) or mesh analysis using Kirchhoff's voltage law ( KVL ).
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