{
  "capability_id": "electrical.rlc_resonance",
  "tool_id": "rlc-resonance",
  "engine": "rlc-resonance",
  "calculation_version": "1.0.0",
  "generated_at": "2026-11-10T05:18:41.715Z",
  "engine_build": "2026-09-10",
  "test_count": 14,
  "passed": 14,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 2,
      "total": 2
    },
    "boundary": {
      "passed": 5,
      "total": 5
    },
    "property": {
      "passed": 7,
      "total": 7
    }
  },
  "engine_tested": true,
  "expert_reviewed": true,
  "internally_reviewed": false,
  "review_kind": "expert",
  "source_checked": true,
  "reviewed_by": "CalculatorX electrical review",
  "reviewer_role": "electrical-engineer",
  "last_reviewed": "2026-08-08",
  "expert_review": {
    "status": "approved",
    "reviewer": {
      "name": "CalculatorX electrical review",
      "role": "electrical-engineer"
    },
    "reviewed_at": "2026-08-08",
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "kind": "expert"
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/electric/rlc-resonance",
  "api": "https://www.calculatorx.com/api/v1/calc/rlc-resonance",
  "schema_input": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.output.json",
  "assumptions": [
    "Lumped ideal R, L, C.",
    "Parallel mode is ideal R across LC (no coil ESR)."
  ],
  "limitations": [
    "Ideal lumped RLC only — not coupled coils, transmission lines, or crystal models",
    "Parallel mode assumes ideal parallel R with L and C (no ESR/ESL)",
    "Missing/non-positive L/C/R → MISSING_REQUIRED_INPUT / VALUE_MUST_BE_POSITIVE",
    "Unknown mode → INVALID_MODE"
  ],
  "boundary_conditions": [
    "Missing L/C/R → MISSING_REQUIRED_INPUT",
    "≤ 0 → VALUE_MUST_BE_POSITIVE",
    "Non-finite → INVALID_NUMBER",
    "Unknown mode → INVALID_MODE"
  ],
  "sources": [
    {
      "title": "IEC 60050 — International Electrotechnical Vocabulary",
      "section": "Resonance, quality factor, and bandwidth",
      "supports": "f₀, Q, and bandwidth definitions for resonant circuits",
      "kind": "standard"
    },
    {
      "title": "Horowitz & Hill — The Art of Electronics",
      "section": "RLC resonance, Q, and bandwidth",
      "supports": "f₀=1/(2π√(LC)); series vs parallel Q",
      "kind": "reference"
    },
    {
      "title": "NIST Guide to the SI (SP 811)",
      "section": "SI units for inductance, capacitance, and frequency",
      "url": "https://www.nist.gov/pml/special-publication-811",
      "supports": "H, F, Hz relationships",
      "kind": "reference"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:03a966424578294e6837b162b9ea379b5ba5afe0d01b9820f60a3d85cfcafc94",
  "tier": "expert_verified",
  "verification": {
    "tests": {
      "passed": 14,
      "total": 14,
      "golden": 2,
      "boundary": 5,
      "property": 7
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-09-05T02:35:39.217Z",
  "rendered_at": "2026-11-10T05:18:41.715Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.0",
    "artifacts": {
      "engine": "1.0.0",
      "page": "1.0.0",
      "capability": "1.0.0",
      "evidence": "1.0.0",
      "input_schema": "1.0.0",
      "output_schema": "1.0.0",
      "mcp_contract": "1.0.0"
    },
    "digests": {
      "input_schema_sha256": "af0d832636c5bd05d0d7acab828a193972b9fe496492ccc81f7e63b90b26c5b7",
      "output_schema_sha256": "4f23bb998c98ff258e3e15be0a5aafcd9961449c77a6ef3b7f237ce5ba6bea16",
      "evidence_sha256": "06044c5b2550eddfc2a9ad1d94890cff4bc52f43c5b71cf8c76c10bb01285adb",
      "evidence_core_sha256": "06044c5b2550eddfc2a9ad1d94890cff4bc52f43c5b71cf8c76c10bb01285adb",
      "capability_sha256": "49fbc6df310901f3c0235220478075cf1cccef901bc6153533a2bc86409c1d00",
      "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d",
      "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3"
    },
    "contract_checks": {
      "total": 6,
      "passed": 6,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}
