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Surprises of the transformer as a coupled oscillator system

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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.

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Transformer Coupled oscillator system

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Silva J P, Silvestre A J. Surprises of the transformer as a coupled oscillator system. European Journal of Physics. ISSN · 0143-0807. 2008: 29 (3), 413-420.

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Iop Publishing LTD

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