Source: https://guthlabs.ai/docs/instruments/rlc-resonance-response-solver/implementation/

instrument implementation / implementation-contract

# RLC Resonance & Response Solver implementation

A source-bound implementation contract for RLC Resonance & Response Solver; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## 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**: t2-042

**Effect**: Computation or source lookup only

## Input and validation requirements

Inputs at C = 0 or R = 0 produce undefined arithmetic and should be rejected. The specification also claims series/parallel support but supplies only the series Q formula, leaving parallel-Q behavior undefined.

## 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": {
    "R_ohm": 10,
    "L_H": 0.1,
    "C_F": 0.0001,
    "topology": "series"
  },
  "expected_outputs": {
    "f0_Hz": 50.329212,
    "Q": 3.162278,
    "BW_Hz": 15.915494,
    "damping": "under"
  },
  "working": "LC=0.1×0.0001=0.00001; √LC=√0.00001=0.003162278. f0=1/(2π×0.003162278)=1/0.019869177=50.329212 Hz. ω0=2πf0=316.227766 rad/s. Q=ω0L/R=(316.227766×0.1)/10=31.622777/10=3.162278. BW=f0/Q=50.329212/3.162278=15.915494 Hz. α=R/(2L)=10/(2×0.1)=50 s^-1; since 50<316.227766, damping is under."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/rlc-resonance-response-solver/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/rlc-resonance-response-solver/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/rlc-resonance-response-solver/qualification/>)

## Sources and evidence

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

- `VERIFIED_LEDGER.json`

- `evidence-tranche2/tranche2-results.json`