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A double chain of coupled circuits in analogy with mechanical lattices

J. N. Boyd and P. N. Raychowdhury

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-4

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:296384

DOI: 10.1155/S0161171291000480

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