Source: https://guthlabs.ai/docs/instruments/capacitor-series-parallel-combiner/mechanism/

instrument mechanism / verified-clean

# Capacitor Series/Parallel Combiner mechanism

The inspectable method record for Capacitor Series/Parallel Combiner, kept separate from implementation and qualification.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Model scope

Formula verification passes for the two stated pure topologies, but the specification needs review because input units and the exact topology representation are unspecified. The empty honest_label is a concern: the instrument should clearly state that it supports only pure series or pure parallel networks unless mixed series/parallel reduction is implemented.

- The formulas are standard and correct for a purely parallel network (Cp=ΣCi) or a purely series network (1/Cs=Σ1/Ci). They do not define how arbitrary mixed series/parallel topologies are represented or reduced.

- The series formula requires every capacitor value Ci to be nonzero; for physical capacitors, values should also be strictly positive.

## Units and conventions

- All capacitor values in a calculation must use one common unit, or the implementation must perform explicit unit conversion before summation or reciprocal calculation.

- The test outputs below are expressed in microfarads unless otherwise stated.

- Capacitance values are ideal lumped capacitances; parasitic effects, voltage dependence, tolerance, and frequency-dependent behavior are not included.

## Inspectable vector

One of 4 source-bound review vectors:

````
{
  "inputs": {
    "topology": "parallel",
    "capacitors": [
      {
        "value": 10,
        "unit": "uF"
      },
      {
        "value": 22,
        "unit": "uF"
      }
    ]
  },
  "expected_outputs": {
    "Ceq": 32,
    "unit": "uF"
  },
  "working": "Cp = ΣCi = 10 uF + 22 uF = 32 uF."
}
````

## Failure boundary

**BREAK_CLAIMED** · SELF_FLAGGED

A zero-valued capacitor in a series network creates a 1/0 undefined term, and omitted units create a convention-dependent result. Inputs should be validated and units made explicit.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/capacitor-series-parallel-combiner/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/capacitor-series-parallel-combiner/implementation/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/capacitor-series-parallel-combiner/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`

- `BOUNDARY_HAZARD_CATALOG.json`