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    題名: Theory of impedance networks: the two-point impedance and LC resonances
    作者: 曾文哲;Tzeng, Wen-jer;Wu, F. Y.
    貢獻者: 淡江大學物理學系
    關鍵詞: Impedance network;complex matrices;resonances
    日期: 2006-07-07
    上傳時間: 2009-12-31 10:29:23 (UTC+8)
    出版者: Institute of Physics (IOP)
    摘要: 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 = λαu*α with orthonormal vectors ua, the effective impedance between nodes p and q of the network is Zpq = ∑α(uαp − uαq)2/λα, where the summation is over all λα not identically equal to zero and uαp is the pth component of uα. For networks consisting of inductances L and capacitances C, the formulation leads to the occurrence of resonances at frequencies associated with the vanishing of λα. This curious result suggests the possibility of practical applications to resonant circuits. Our formulation is illustrated by explicit examples.
    關聯: Journal of Physics A: Mathematical and General 39(27), pp.8579-8591
    DOI: 10.1088/0305-4470/39/27/002
    顯示於類別:[物理學系暨研究所] 期刊論文

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