{
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  "failed": 0,
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  "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)"
  ],
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      "section": "Real power P = V × I × PF (1φ); P = √3 × V × I × PF (3φ L-L)",
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      "kind": "definition",
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      "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.",
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      "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,
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      "title": "BIPM SI Brochure (9th edition, version 4.01)",
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      "url": "https://www.bipm.org/en/publications/si-brochure",
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      "accessed": "2026-09-05",
      "published": "2026-06",
      "doi": "https://doi.org/10.59161/AUEZ1291",
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      "title": "NIST Guide to the SI (SP 811)",
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      "url": "https://www.nist.gov/pml/special-publication-811",
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      "title": "CalculatorX amps-volts-reference oracle (O2)",
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