Published in
Offbeat Physics, p. 35-46, 2022
European Physical Society, European Journal of Physics, 3(29), p. 413-420
DOI: 10.1088/0143-0807/29/3/002
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Surprises of the transformer as a coupled oscillator system
Journal article published in 2008 by
J. P. Silva,
A. J. Silvestre 
Abstract
We study a system of two RLC oscillators coupled through a variable mutual inductance. The system is interesting because it exhibits some peculiar features of coupled oscillators: (i) there are two natural frequencies; (ii) in general, the resonant frequencies do not coincide with the natural frequencies; (iii) the resonant frequencies of both oscillators differ; (iv) for certain choices of parameters, there is only one resonant frequency, instead of the two expected.