{
  "annotation_id": "42b099ce-888d-40bc-83df-2e5a37e8a296",
  "date_created": "2026-03-02T18:01:18.134000Z",
  "date_modified": "2026-03-02T18:01:18.134000Z",
  "file_hash": "231c7ff775f5e27fe657fd3869320e844ccd435110013b03fff6042ce6f716ce",
  "private": false,
  "record": {
    "abstract": "The fact that the capacitance coefficients for a set of conductors are\ngeometrical factors is derived in most electricity and magnetism textbooks. We\npresent an alternative derivation based on Laplace\u0027s equation that is\naccessible for an intermediate course on electricity and magnetism. The\nproperties of Laplace\u0027s equation permits to prove many properties of the\ncapacitance matrix. Some examples are given to illustrate the usefulness of\nsuch properties.",
    "arxiv_id": "physics/0702253",
    "authors": [
      "William J. Herrera",
      "Rodolfo A. Diaz"
    ],
    "categories": [
      "physics.class-ph",
      "physics.ed-ph"
    ],
    "doi": "10.1119/1.2800355",
    "journal_ref": "Am. J. Phys. 76 (1) p. 55-59 (2008)",
    "title": "The geometrical nature and some properties of the capacitance   coefficients based on Laplace\u0027s Equation",
    "url": "https://arxiv.org/abs/physics/0702253"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91712f94-d533-4bad-bfcc-a68c96358f4c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}