{
  "annotation_id": "4e216297-b08b-49dd-bce2-15b4735a810e",
  "date_created": "2026-03-02T18:01:11.270000Z",
  "date_modified": "2026-03-02T18:01:11.270000Z",
  "file_hash": "1b4ee8a527581dd8d66de38ef8ff07eda98ae8a7b3bb51d82c35d2cd8c13631c",
  "private": false,
  "record": {
    "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"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.class-ph"
    ],
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8ff68bac-efd5-45f2-8269-24ab5d59abce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}