{
  "capability_id": "electrical.amps_to_volts",
  "tool_id": "amps-to-volts",
  "engine": "amps-volts",
  "calculation_version": "1.4.2",
  "generated_at": "2026-09-16T22:03:43.705Z",
  "engine_build": "2026-09-10",
  "test_count": 42,
  "passed": 42,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 11,
      "passed": 11
    },
    "boundary": {
      "total": 20,
      "passed": 20
    },
    "property": {
      "total": 11,
      "passed": 11
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/electric/amps-to-volts",
  "api": "https://www.calculatorx.com/api/v1/calc/amps-to-volts",
  "schema_input": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.output.json",
  "assumptions": [
    "Ohms path assumes resistive Ohm’s-law behavior.",
    "Watts DC matches P = V·I. Watts AC uses RMS and total power factor λ.",
    "Three-phase watts path assumes balanced line-to-line voltage.",
    "DC does not use power factor or phase. Canonical Agent schema forbids power_factor on DC; REST may send it and it is ignored with POWER_FACTOR_IGNORED.",
    "JSON Schema is a callable-input envelope (types, required fields, enums). Zeros and out-of-range PF may be schema-valid; the engine returns stable error codes."
  ],
  "limitations": [
    "Composite page: ohms path is V=IR; watts path is P/(I·PF) with optional √3",
    "Not for converting amps to volts from current alone",
    "JSON Schema is a callable-input envelope (types/required/enums). Zeros, negatives, and PF outside (0,1] may be schema-valid; the engine returns stable error codes",
    "DC payloads must omit power_factor. REST may still send PF on DC: ignored with POWER_FACTOR_IGNORED",
    "AC watts paths require power_factor in (0, 1]. UI initializes AC PF to 1.0; Agent/API clients must send it. Explicit PF=0 is POWER_FACTOR_OUT_OF_RANGE, not a silent 1",
    "P>0 with I=0 → CURRENT_MUST_BE_NONZERO; V≠0 with R=0 → RESISTANCE_MUST_BE_NONZERO; 0/0 → UNDEFINED",
    "IEEE-754 binary64; non-finite results → NON_FINITE_RESULT",
    "Not for unbalanced three-phase"
  ],
  "boundary_conditions": [
    "Watts A→V: P>0 and I=0 → CURRENT_MUST_BE_NONZERO (not 0 V)",
    "Watts A→V: P=0 and I=0 → UNDEFINED (0/0 indeterminate)",
    "Ohms reverse: V≠0 and R=0 → RESISTANCE_MUST_BE_NONZERO (not 0 A)",
    "Ohms reverse: V=0 and R=0 → UNDEFINED",
    "Ohms forward (product): I=0 or R=0 → 0 V (valid multiplication)",
    "Zero power with I>0 → 0 V",
    "AC power_factor is required and must be in (0, 1]. UI initializes AC PF to 1.0; Agent/API clients must send it. Omitted AC PF → MISSING_REQUIRED_INPUT. Explicit PF≤0 or PF>1 → POWER_FACTOR_OUT_OF_RANGE",
    "IEEE-754 binary64; non-finite overflow → NON_FINITE_RESULT",
    "Canonical Agent fields are mode, current, resistance, power, voltage, system, power_factor; DC must omit power_factor; REST still accepts a, b, phase, pf (DC PF ignored with POWER_FACTOR_IGNORED)"
  ],
  "sources": [
    {
      "title": "Watt’s law / power identity",
      "section": "Real power P = V × I × PF (1φ); P = √3 × V × I × PF (3φ L-L)",
      "supports": "V = P/(I·PF); I = P/(V·PF); 3φ with √3",
      "kind": "definition"
    },
    {
      "title": "Ohm’s law",
      "section": "Ohmic conductors V = I × R",
      "supports": "A→V (ohms) and V→A (ohms) modes",
      "kind": "definition"
    },
    {
      "title": "IEC 60050 — International Electrotechnical Vocabulary",
      "section": "Active power (IEV 131-11-42)",
      "url": "https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-11-42",
      "supports": "P is active power; unit watt (W). Watts-path voltage uses P, not apparent power S.",
      "kind": "standard",
      "accessed": "2026-09-05",
      "clause": "IEV 131-11-42"
    },
    {
      "title": "IEC 60050 — International Electrotechnical Vocabulary",
      "section": "Power factor (IEV 131-11-46)",
      "url": "https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-11-46",
      "supports": "λ = |P| / S; AC watts path V = P / (I·λ) (1φ) or V = P / (√3·I·λ) (3φ L-L)",
      "kind": "standard",
      "accessed": "2026-09-05",
      "clause": "IEV 131-11-46"
    },
    {
      "title": "IEEE Std 1459-2025",
      "section": "Power factor in AC real-power calculations",
      "url": "https://standards.ieee.org/ieee/1459/7578/",
      "supports": "PF scaling on watts paths; PF = 1 for DC/resistive",
      "kind": "standard",
      "accessed": "2026-09-05",
      "publisher": "IEEE",
      "published": "2025-05-16",
      "errata_checked": true
    },
    {
      "title": "BIPM SI Brochure (9th edition, version 4.01)",
      "section": "SI units for ampere, volt, ohm, and watt",
      "url": "https://www.bipm.org/en/publications/si-brochure",
      "supports": "SI definitions and dimensional relationships among V, A, Ω, and W",
      "kind": "reference",
      "accessed": "2026-09-05",
      "published": "2026-06",
      "doi": "https://doi.org/10.59161/AUEZ1291"
    },
    {
      "title": "NIST Guide to the SI (SP 811)",
      "section": "Volt, ampere, ohm, watt",
      "url": "https://www.nist.gov/pml/special-publication-811",
      "supports": "SI unit relationships for V, A, Ω, W",
      "kind": "reference"
    },
    {
      "title": "CalculatorX amps-volts-reference oracle (O2)",
      "section": "Separate-module Node arithmetic — same V8 binary64 runtime as IUT (not language-isolated); scripts/lib/cvp/oracles/amps-volts-reference.mjs",
      "supports": "expected_values + numerical_behavior (≤2 ULP); not transcribed from IUT",
      "kind": "other"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:a3b8a170fa6175c42e55b30a618ec83f5936fd99193720bee8fc25c8252144cb",
  "tests": [
    {
      "id": "120W-10A",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 10,
        "system": "dc"
      },
      "expect": 12,
      "expectWarning": null,
      "actual": 12,
      "tol": 0.01
    },
    {
      "id": "ohm-1.2A-20R",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-ohm",
        "current": 1.2,
        "resistance": 20
      },
      "expect": 24,
      "expectWarning": null,
      "actual": 24,
      "tol": 0.01
    },
    {
      "id": "65W-13A",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "a": 65,
        "b": 13,
        "system": "dc"
      },
      "expect": 5,
      "expectWarning": null,
      "actual": 5,
      "tol": 0.01
    },
    {
      "id": "600W-6.25A-0.8",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "power": 600,
        "current": 6.25,
        "system": "ac_single",
        "power_factor": 0.8
      },
      "expect": 120,
      "expectWarning": null,
      "actual": 120,
      "tol": 0.1
    },
    {
      "id": "10kW-15.5A-3phi",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "power": 10000,
        "current": 15.5,
        "system": "ac_three",
        "power_factor": 0.9
      },
      "expect": 413.87,
      "expectWarning": null,
      "actual": 413.87116070940914,
      "tol": 0.05
    },
    {
      "id": "v-a-ohm-24V-12R",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "v-a-ohm",
        "voltage": 24,
        "resistance": 12
      },
      "expect": 2,
      "expectWarning": null,
      "actual": 2,
      "tol": 0.01
    },
    {
      "id": "v-a-watt-120W-12V",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "v-a-watt",
        "a": 120,
        "b": 12,
        "system": "dc"
      },
      "expect": 10,
      "expectWarning": null,
      "actual": 10,
      "tol": 0.01
    },
    {
      "id": "linear-2x-P",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "a": 240,
        "b": 10,
        "system": "dc"
      },
      "expect": 24,
      "expectWarning": null,
      "actual": 24,
      "tol": 0.01
    },
    {
      "id": "inverse-half-I",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "a": 120,
        "b": 5,
        "system": "dc"
      },
      "expect": 24,
      "expectWarning": null,
      "actual": 24,
      "tol": 0.01
    },
    {
      "id": "zero-I-hard",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 0,
        "system": "dc"
      },
      "expectError": "CURRENT_MUST_BE_NONZERO",
      "code": "CURRENT_MUST_BE_NONZERO",
      "error": "current must be non-zero to compute V = P ÷ I"
    },
    {
      "id": "zero-P",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-watt",
        "power": 0,
        "current": 10,
        "system": "dc"
      },
      "expect": 0,
      "expectWarning": null,
      "actual": 0,
      "tol": 1e-12
    },
    {
      "id": "pf-zero-hard",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 600,
        "current": 6.25,
        "system": "ac_single",
        "power_factor": 0
      },
      "expectError": "POWER_FACTOR_OUT_OF_RANGE",
      "code": "POWER_FACTOR_OUT_OF_RANGE",
      "error": "power_factor must be in (0, 1]"
    },
    {
      "id": "zero-R-quotient-hard",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "v-a-ohm",
        "voltage": 24,
        "resistance": 0
      },
      "expectError": "RESISTANCE_MUST_BE_NONZERO",
      "code": "RESISTANCE_MUST_BE_NONZERO",
      "error": "resistance must be non-zero to compute I = V ÷ R"
    },
    {
      "id": "rest-alias-ohm",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "a-v-ohm",
        "a": 2,
        "b": 12
      },
      "expect": 24,
      "expectWarning": null,
      "actual": 24,
      "tol": 1e-12
    },
    {
      "id": "boundary-ohm-product-zero-r",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": 2,
        "resistance": 0
      },
      "expect": 0,
      "expectWarning": null,
      "actual": 0,
      "tol": 1e-12
    },
    {
      "id": "boundary-ohm-quotient-0-over-0",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "v-a-ohm",
        "voltage": 0,
        "resistance": 0
      },
      "expectError": "UNDEFINED",
      "code": "UNDEFINED",
      "error": "0 ÷ 0 is undefined (indeterminate form)."
    },
    {
      "id": "boundary-watt-0-over-0",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 0,
        "current": 0,
        "system": "dc"
      },
      "expectError": "UNDEFINED",
      "code": "UNDEFINED",
      "error": "0 ÷ 0 is undefined (indeterminate form)."
    },
    {
      "id": "boundary-pf-gt-1",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 600,
        "current": 6.25,
        "system": "ac_single",
        "power_factor": 1.2
      },
      "expectError": "POWER_FACTOR_OUT_OF_RANGE",
      "code": "POWER_FACTOR_OUT_OF_RANGE",
      "error": "power_factor must be in (0, 1]"
    },
    {
      "id": "boundary-dc-ignores-pf",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 10,
        "system": "dc",
        "power_factor": 0.5
      },
      "expect": 12,
      "expectWarning": null,
      "actual": 12,
      "tol": 1e-12
    },
    {
      "id": "boundary-ac-missing-pf",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 10,
        "system": "ac_single"
      },
      "expectError": "MISSING_REQUIRED_INPUT",
      "code": "MISSING_REQUIRED_INPUT",
      "error": "power_factor is required for AC"
    },
    {
      "id": "boundary-neg-current",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": -2,
        "resistance": 12
      },
      "expectError": "VALUE_MUST_BE_NON_NEGATIVE",
      "code": "VALUE_MUST_BE_NON_NEGATIVE",
      "error": "current must be ≥ 0"
    },
    {
      "id": "boundary-neg-resistance",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": 2,
        "resistance": -12
      },
      "expectError": "VALUE_MUST_BE_NON_NEGATIVE",
      "code": "VALUE_MUST_BE_NON_NEGATIVE",
      "error": "resistance must be ≥ 0"
    },
    {
      "id": "boundary-neg-power",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": -120,
        "current": 10,
        "system": "dc"
      },
      "expectError": "VALUE_MUST_BE_NON_NEGATIVE",
      "code": "VALUE_MUST_BE_NON_NEGATIVE",
      "error": "power must be ≥ 0"
    },
    {
      "id": "boundary-invalid-mode",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "nope",
        "current": 2,
        "resistance": 12
      },
      "expectError": "INVALID_MODE",
      "code": "INVALID_MODE",
      "error": "mode must be \"a-v-ohm\", \"a-v-watt\", \"v-a-ohm\", or \"v-a-watt\""
    },
    {
      "id": "boundary-invalid-system",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 10,
        "system": "quad",
        "power_factor": 1
      },
      "expectError": "INVALID_MODE",
      "code": "INVALID_MODE",
      "error": "system must be \"dc\", \"ac_single\", or \"ac_three\""
    },
    {
      "id": "boundary-invalid-phase",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-watt",
        "power": 120,
        "current": 10,
        "phase": "four",
        "power_factor": 1
      },
      "expectError": "INVALID_PHASE",
      "code": "INVALID_PHASE",
      "error": "phase must be \"single\" or \"three\""
    },
    {
      "id": "boundary-missing-current",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "resistance": 12
      },
      "expectError": "MISSING_REQUIRED_INPUT",
      "code": "MISSING_REQUIRED_INPUT",
      "error": "current is required"
    },
    {
      "id": "boundary-missing-resistance",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": 2
      },
      "expectError": "MISSING_REQUIRED_INPUT",
      "code": "MISSING_REQUIRED_INPUT",
      "error": "resistance is required"
    },
    {
      "id": "boundary-invalid-number",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": "n/a",
        "resistance": 12
      },
      "expectError": "INVALID_NUMBER",
      "code": "INVALID_NUMBER",
      "error": "current must be a finite number"
    },
    {
      "id": "boundary-watt-zero-v",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "v-a-watt",
        "power": 120,
        "voltage": 0,
        "system": "dc"
      },
      "expectError": "VOLTAGE_MUST_BE_POSITIVE",
      "code": "VOLTAGE_MUST_BE_POSITIVE",
      "error": "voltage must be greater than zero to compute I = P ÷ V"
    },
    {
      "id": "boundary-overflow",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "a-v-ohm",
        "current": 1e+200,
        "resistance": 1e+200
      },
      "expectError": "NON_FINITE_RESULT",
      "code": "NON_FINITE_RESULT",
      "error": "result is not a finite IEEE-754 number"
    },
    {
      "id": "property-ohm",
      "ok": true,
      "kind": "property",
      "detail": "2A×12Ω",
      "expect": 24,
      "actual": 24
    },
    {
      "id": "property-watt-dc",
      "ok": true,
      "kind": "property",
      "detail": "120W/10A DC",
      "expect": 12,
      "actual": 12
    },
    {
      "id": "property-watt-1phi",
      "ok": true,
      "kind": "property",
      "detail": "600W PF0.8",
      "expect": 120,
      "actual": 120
    },
    {
      "id": "property-watt-3phi",
      "ok": true,
      "kind": "property",
      "detail": "10kW 3φ",
      "expect": 413.87116070940914,
      "actual": 413.87116070940914
    },
    {
      "id": "property-ohm-roundtrip",
      "ok": true,
      "kind": "property",
      "detail": "24V/12Ω",
      "expect": 2,
      "actual": 2
    },
    {
      "id": "property-rest-alias",
      "ok": true,
      "kind": "property",
      "detail": "REST a/b ohms",
      "expect": 24,
      "actual": 24
    },
    {
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      "ok": true,
      "kind": "property",
      "detail": "120W/12V DC",
      "expect": 10,
      "actual": 10
    },
    {
      "id": "property-watt-roundtrip-1phi",
      "ok": true,
      "kind": "property",
      "detail": "600W/120V PF0.8",
      "expect": 6.25,
      "actual": 6.25
    },
    {
      "id": "property-watt-roundtrip-3phi",
      "ok": true,
      "kind": "property",
      "detail": "10kW 3φ reverse",
      "expect": 15.5,
      "actual": 15.5
    },
    {
      "id": "property-sci-notation",
      "ok": true,
      "kind": "property",
      "detail": "2e0×1.2e1",
      "expect": 24,
      "actual": 24
    },
    {
      "id": "property-large-finite",
      "ok": true,
      "kind": "property",
      "detail": "1e6×1e6",
      "expect": 1000000000000,
      "actual": 1000000000000
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 42,
      "total": 42,
      "golden": 11,
      "boundary": 20,
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          "detail": "1.4.2"
        },
        {
          "id": "contract-capability-version",
          "status": "pass",
          "detail": "1.4.2"
        },
        {
          "id": "contract-input-schema-version",
          "status": "pass",
          "detail": "1.4.2"
        },
        {
          "id": "contract-output-schema-version",
          "status": "pass",
          "detail": "1.4.2"
        },
        {
          "id": "evidence-version-matches-manifest",
          "status": "pass",
          "detail": "1.4.2"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "operation-input-oneof",
          "status": "pass",
          "detail": "a-v-ohm,v-a-ohm,a-v-watt,v-a-watt"
        },
        {
          "id": "output-units-include-v-and-a",
          "status": "pass",
          "detail": "[\"V\",\"A\"]"
        },
        {
          "id": "operation-a-v-ohm-schema-valid",
          "status": "pass"
        },
        {
          "id": "operation-v-a-ohm-schema-valid",
          "status": "pass"
        },
        {
          "id": "operation-a-v-watt-schema-valid",
          "status": "pass"
        },
        {
          "id": "operation-v-a-watt-schema-valid",
          "status": "pass"
        },
        {
          "id": "operation-dc-omits-pf",
          "status": "pass"
        },
        {
          "id": "operation-dc-rejects-power-factor",
          "status": "pass"
        },
        {
          "id": "operation-requires-mode",
          "status": "pass"
        },
        {
          "id": "operation-ac-requires-power-factor",
          "status": "pass"
        },
        {
          "id": "operation-a-v-ohm-unit-V",
          "status": "pass",
          "detail": "V"
        },
        {
          "id": "operation-a-v-watt-unit-V",
          "status": "pass",
          "detail": "V"
        },
        {
          "id": "operation-v-a-ohm-unit-A",
          "status": "pass",
          "detail": "A"
        },
        {
          "id": "operation-v-a-watt-unit-A",
          "status": "pass",
          "detail": "A"
        },
        {
          "id": "output-mode-unit-binding",
          "status": "pass"
        },
        {
          "id": "operation-result-matches-detail",
          "status": "pass"
        },
        {
          "id": "operation-formula-matches-system",
          "status": "pass"
        },
        {
          "id": "versioned-schema-pin",
          "status": "pass"
        },
        {
          "id": "versioned-schema-id",
          "status": "pass",
          "detail": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/1.4.2/input.json"
        },
        {
          "id": "jsonld-valid-json",
          "status": "pass"
        },
        {
          "id": "jsonld-type-webapplication",
          "status": "pass"
        },
        {
          "id": "jsonld-name-match",
          "status": "pass"
        },
        {
          "id": "jsonld-canonical-url",
          "status": "pass"
        },
        {
          "id": "jsonld-software-version-match",
          "status": "pass"
        },
        {
          "id": "jsonld-system-semantics",
          "status": "pass"
        },
        {
          "id": "jsonld-offer-free-match",
          "status": "pass"
        },
        {
          "id": "jsonld-breadcrumb-match",
          "status": "pass"
        },
        {
          "id": "jsonld-visible-content-match",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  }
}
