Source: https://guthlabs.ai/docs/instruments/decoupling-capacitor-selector/implementation/

instrument implementation / implementation-contract

# Decoupling Capacitor Selector implementation

A source-bound implementation contract for Decoupling Capacitor Selector; deployment and executable qualification remain separate.

Status: **VERIFIED_WITH_ERRATA**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-with-binding-errata

**Evidence ID**: t5-081

**Effect**: Computation or source lookup only

## Input and validation requirements

Zero capacitance and zero frequency produce undefined arithmetic, and the specification does not state explicit input rejection or phasor-sign conventions. The selector should guard C=0, f=0, negative or nonphysical values, and document the complex-impedance convention.

## Required corrections

````
[
  {
    "vector": 4,
    "field": "SRF_Hz",
    "wrong": 3558812700,
    "correct": 112539539.5,
    "cause": "reciprocal exponent slip; contradicts her own correct √(LC)=1.414e-9 in step 3"
  }
]
````

## Inspectable interface fixture

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

````
{
  "inputs": {
    "C_F": 1e-7,
    "ESL_H": 1e-9,
    "ESR_ohm": 0.02,
    "frequency_Hz": 10000000
  },
  "expected_outputs": {
    "SRF_Hz": 15915494.31,
    "impedance_magnitude_ohm": 0.09838
  },
  "working": "1. LC=(1e-9)(1e-7)=1e-16 H·F. 2. √(LC)=1e-8. 3. SRF=1/[2π(1e-8)]=1/(6.2831853e-8)=15,915,494.31 Hz. 4. ω=2π(10,000,000)=62,831,853.07 rad/s. 5. XL=ωL=(62,831,853.07)(1e-9)=0.06283185 Ω. 6. XC=1/(ωC)=1/[(62,831,853.07)(1e-7)]=0.15915494 Ω. 7. Net reactance=XL−XC=0.06283185−0.15915494=−0.09632309 Ω. 8. |Z|=√[0.02²+(−0.09632309)²]=√(0.0004+0.00927814)=√0.00967814=0.09838 Ω."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/decoupling-capacitor-selector/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/decoupling-capacitor-selector/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/decoupling-capacitor-selector/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-tranche5/tranche5-results.json`

- `tranche errata record`