{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/electrical.rlc_resonance/1.0.0/output.json",
  "title": "RLC resonance — success output",
  "type": "object",
  "additionalProperties": false,
  "required": [
    "status",
    "capability_id",
    "engine",
    "inputs",
    "result",
    "result_detail",
    "calculation_version",
    "verification"
  ],
  "properties": {
    "id": {
      "type": "string",
      "description": "Requested tool id"
    },
    "status": {
      "const": "success"
    },
    "capability_id": {
      "const": "electrical.rlc_resonance"
    },
    "tool": {
      "type": "string",
      "description": "Requested tool id"
    },
    "engine": {
      "type": "string"
    },
    "inputs": {
      "type": "object",
      "description": "Normalized calculation inputs (aliases resolved)"
    },
    "result": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "mode",
        "f0",
        "omega0",
        "Q",
        "BW",
        "X0",
        "Z_res",
        "L",
        "C",
        "R"
      ],
      "properties": {
        "mode": {
          "type": "string",
          "enum": [
            "series",
            "parallel"
          ]
        },
        "f0": {
          "type": "number",
          "description": "Resonant frequency (Hz)"
        },
        "omega0": {
          "type": "number",
          "description": "Angular resonant frequency (rad/s)"
        },
        "Q": {
          "type": "number",
          "description": "Quality factor (topology-dependent)"
        },
        "BW": {
          "type": "number",
          "description": "−3 dB bandwidth f0/Q (Hz)"
        },
        "X0": {
          "type": "number",
          "description": "ω0·L = 1/(ω0·C) at resonance (Ω)"
        },
        "Z_res": {
          "type": "number",
          "description": "Ideal |Z| at resonance (= R)"
        },
        "L": {
          "type": "number",
          "description": "Inductance (H)"
        },
        "C": {
          "type": "number",
          "description": "Capacitance (F)"
        },
        "R": {
          "type": "number",
          "description": "Resistance (Ω)"
        }
      }
    },
    "result_detail": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "value",
        "unit",
        "formatted"
      ],
      "properties": {
        "value": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "mode",
            "f0",
            "omega0",
            "Q",
            "BW",
            "X0",
            "Z_res",
            "L",
            "C",
            "R"
          ],
          "properties": {
            "mode": {
              "type": "string",
              "enum": [
                "series",
                "parallel"
              ]
            },
            "f0": {
              "type": "number",
              "description": "Resonant frequency (Hz)"
            },
            "omega0": {
              "type": "number",
              "description": "Angular resonant frequency (rad/s)"
            },
            "Q": {
              "type": "number",
              "description": "Quality factor (topology-dependent)"
            },
            "BW": {
              "type": "number",
              "description": "−3 dB bandwidth f0/Q (Hz)"
            },
            "X0": {
              "type": "number",
              "description": "ω0·L = 1/(ω0·C) at resonance (Ω)"
            },
            "Z_res": {
              "type": "number",
              "description": "Ideal |Z| at resonance (= R)"
            },
            "L": {
              "type": "number",
              "description": "Inductance (H)"
            },
            "C": {
              "type": "number",
              "description": "Capacitance (F)"
            },
            "R": {
              "type": "number",
              "description": "Resistance (Ω)"
            }
          }
        },
        "unit": {
          "type": [
            "string",
            "null"
          ]
        },
        "formatted": {
          "type": [
            "string",
            "null"
          ]
        }
      }
    },
    "formula": {
      "anyOf": [
        {
          "type": "null"
        },
        {
          "type": "string"
        },
        {
          "type": "object",
          "additionalProperties": false,
          "properties": {
            "id": {
              "type": "string"
            },
            "expression": {
              "type": "string"
            },
            "label": {
              "type": "string"
            }
          }
        }
      ]
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "warnings": {
      "type": "array",
      "items": {
        "type": "object",
        "additionalProperties": false,
        "required": [
          "code"
        ],
        "properties": {
          "code": {
            "type": "string"
          },
          "severity": {
            "type": "string"
          },
          "detail": {
            "type": "string"
          },
          "suggestion": {
            "type": "string"
          }
        }
      }
    },
    "verification": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "tier",
        "engine_tested",
        "expert_reviewed",
        "source_checked",
        "reviewed_by",
        "reviewer_role",
        "last_reviewed"
      ],
      "properties": {
        "tier": {
          "type": "string",
          "enum": [
            "candidate",
            "engine_tested",
            "internally_reviewed",
            "expert_verified"
          ]
        },
        "engine_tested": {
          "type": "boolean"
        },
        "expert_reviewed": {
          "type": "boolean"
        },
        "internally_reviewed": {
          "type": "boolean"
        },
        "review_kind": {
          "type": [
            "string",
            "null"
          ]
        },
        "source_checked": {
          "type": "boolean"
        },
        "reviewed_by": {
          "type": [
            "string",
            "null"
          ]
        },
        "reviewer_role": {
          "type": [
            "string",
            "null"
          ]
        },
        "last_reviewed": {
          "type": [
            "string",
            "null"
          ]
        }
      },
      "allOf": [
        {
          "if": {
            "properties": {
              "tier": {
                "const": "expert_verified"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              },
              "expert_reviewed": {
                "const": true
              },
              "source_checked": {
                "const": true
              },
              "reviewed_by": {
                "type": "string",
                "minLength": 1
              },
              "reviewer_role": {
                "type": "string",
                "minLength": 1
              },
              "last_reviewed": {
                "type": "string",
                "minLength": 1
              }
            }
          }
        },
        {
          "if": {
            "properties": {
              "tier": {
                "const": "internally_reviewed"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              },
              "internally_reviewed": {
                "const": true
              },
              "source_checked": {
                "const": true
              }
            }
          }
        },
        {
          "if": {
            "properties": {
              "tier": {
                "const": "engine_tested"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              }
            }
          }
        }
      ]
    },
    "calculation_version": {
      "type": "string",
      "const": "1.0.0"
    },
    "api_version": {
      "type": "string"
    },
    "api_contract_version": {
      "type": "string"
    },
    "spec_version": {
      "type": "string"
    },
    "page": {
      "type": [
        "string",
        "null"
      ],
      "description": "Canonical calculator page URL"
    },
    "links": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "schema_input": {
          "type": "string",
          "format": "uri"
        },
        "schema_output": {
          "type": "string",
          "format": "uri"
        },
        "evidence": {
          "type": "string",
          "format": "uri"
        },
        "openapi": {
          "type": "string",
          "format": "uri"
        },
        "capabilities": {
          "type": "string",
          "format": "uri"
        },
        "mcp": {
          "type": "string",
          "format": "uri"
        }
      }
    }
  }
}