{
  "annotation_id": "caefcea3-bdd4-407c-980c-55907c4f7982",
  "date_created": "2026-03-02T18:01:07.894000Z",
  "date_modified": "2026-03-02T18:01:07.894000Z",
  "file_hash": "88cde70d3b748b5a1b8435c661195f3d6846c43060ad1deb439a572e35410c7a",
  "private": false,
  "record": {
    "abstract": "We compare the magnetic field at the center of and the self-magnetic flux\nthrough a current-carrying circular loop, with those obtained for\ncurrent-carrying polygons with the same perimeter. As the magnetic field\ndiverges at the position of the wires, we compare the self-fluxes utilizing\nseveral regularization procedures. The calculation is best performed utilizing\nthe vector potential, thus highlighting its usefulness in practical\napplications. Our analysis answers some of the intuition challenges students\nface when they encounter a related simple textbook example. These results can\nbe applied directly to the determination of mutual inductances in a variety of\nsituations.",
    "arxiv_id": "physics/0605210",
    "authors": [
      "J. P. Silva",
      "A. J. Silvestre"
    ],
    "categories": [
      "physics.ed-ph"
    ],
    "doi": "10.1088/0143-0807/26/5/010",
    "journal_ref": "Eur. J. Phys. 26 (2005) 783",
    "title": "Comparing a current-carrying circular wire with polygons of equal   perimeter; Magnetic field versus magnetic flux",
    "url": "https://arxiv.org/abs/physics/0605210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79b22d84-15a0-40e0-bfef-7d302392fb62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}