dorsal/arxiv
View SchemaNonlinear Damping of the LC Circuit using Anti-parallel Diodes
| Authors | Edward H. Hellen, Matthew J. Lanctot |
|---|---|
| Categories | |
| ArXiv ID | physics/0606261 |
| URL | https://arxiv.org/abs/physics/0606261 |
| DOI | 10.1119/1.2710481 |
| Journal | Am. J. Phys. 75, 326-330 (2007) |
Abstract
We investigate a simple variation of the series RLC circuit in which anti-parallel diodes replace the resistor. This results in a damped harmonic oscillator with a nonlinear damping term that is maximal at zero current and decreases with an inverse current relation for currents far from zero. A set of nonlinear differential equations for the oscillator circuit is derived and integrated numerically for comparison with circuit measurements. The agreement is very good for both the transient and steady-state responses. Unlike the standard RLC circuit, the behavior of this circuit is amplitude dependent. In particular for the transient response the oscillator makes a transition from under-damped to over-damped behavior, and for the driven oscillator the resonance response becomes sharper and stronger as drive source amplitude increases. The equipment is inexpensive and common to upper level physics labs.
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"abstract": "We investigate a simple variation of the series RLC circuit in which\nanti-parallel diodes replace the resistor. This results in a damped harmonic\noscillator with a nonlinear damping term that is maximal at zero current and\ndecreases with an inverse current relation for currents far from zero. A set of\nnonlinear differential equations for the oscillator circuit is derived and\nintegrated numerically for comparison with circuit measurements. The agreement\nis very good for both the transient and steady-state responses. Unlike the\nstandard RLC circuit, the behavior of this circuit is amplitude dependent. In\nparticular for the transient response the oscillator makes a transition from\nunder-damped to over-damped behavior, and for the driven oscillator the\nresonance response becomes sharper and stronger as drive source amplitude\nincreases. The equipment is inexpensive and common to upper level physics labs.",
"arxiv_id": "physics/0606261",
"authors": [
"Edward H. Hellen",
"Matthew J. Lanctot"
],
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"physics.ed-ph",
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],
"doi": "10.1119/1.2710481",
"journal_ref": "Am. J. Phys. 75, 326-330 (2007)",
"title": "Nonlinear Damping of the LC Circuit using Anti-parallel Diodes",
"url": "https://arxiv.org/abs/physics/0606261"
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