Theory of impedance networks: the two-point impedance andLCresonances

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Theory of impedance networks: the two-point impedance and LC resonances

We present a formulation of the determination of the impedance between any two nodes in an impedance network. An impedance network is described by its Laplacian matrix L which has generally complex matrix elements. We show that by solving the equation Luα = λαuα with orthonormal vectors ua , the effective impedance between nodes p and q of the network is Zpq = ∑ α(uαp−uαq)/λα , where the summat...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2006

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/39/27/002