Phasor / Impedance Calculator implementation

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner

Guth Instruments

Lifecycle

verified-clean

Evidence ID

t8-001

Effect

Computation or source lookup only

Input and validation requirements

The ideal parallel-LC resonance vector makes the parallel admittance exactly zero, so impedance requires division by zero. The calculator must reject the input or explicitly represent an infinite, phase-undefined result.

Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "topology": "series",
    "frequency_hz": 60,
    "R_ohm": 10,
    "L_henry": 0.0265258238486492,
    "C_henry": null
  },
  "expected_outputs": {
    "Z_rect_ohm": {
      "real": 10,
      "imaginary": 10
    },
    "Z_polar_ohm": {
      "magnitude": 14.14213562,
      "phase_deg": 45
    },
    "working_note": "C is unused for this RL series case."
  },
  "reference_data": {
    "omega_rad_per_s": "2π(60)=120π",
    "exact_result": "Z=10+j10=10sqrt(2)∠45° Ω"
  },
  "working": "ω=2πf=2π(60)=120π rad/s. X_L=ωL=(120π)(1/(12π))=10 Ω. Z_R=10 Ω. Z_L=j10 Ω. Series addition: Z=Z_R+Z_L=10+j10 Ω. Magnitude=sqrt(10^2+10^2)=sqrt(200)=10sqrt(2)=14.14213562 Ω. Phase=atan2(10,10)=45°."
}

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche8/tranche8-results.json