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A double chain of coupled circuits in analogy with mechanical lattices

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  • J. N. Boyd
  • P. N. Raychowdhury

Abstract

A unitary transformation obtained from group theoretical considerations is applied to the problem of finding the resonant frequencies of a system of coupled LC -circuits. This transformation was previously derived to separate the equations of motion for one dimensional mechanical lattices. Computations are performed in matrix notation. The electrical system is an analog of a pair of coupled linear lattices. After the resonant frequencies have been found, comparisons between the electrical and mechanical systems are noted.

Suggested Citation

  • J. N. Boyd & P. N. Raychowdhury, 1991. "A double chain of coupled circuits in analogy with mechanical lattices," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:296384
    DOI: 10.1155/S0161171291000480
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