Public evidence

electrical.rlc_resonance

Machine-checked verification for calculation version 1.0.0 · tier expert_verified

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· Ideal L/C; no parasitics · Protocol · Schema · Production report

Declared partition coverage: PASS · 3/3 declared partitions (series, parallel, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 7/7 property · digest 1afc159d02bc

Verification

Legacy regression suite: 14/14 calculation tests · Production surface contract 4/4

Three distinct suites: educational examples on the calculator page, this legacy regression count (14/14 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.0. CVP 1.0.0-proposed. 2/2 golden · 5/5 CVP boundary · 4/4 invalid · 7/7 property · 1/1 cross-interface · 1/1 CVP contract. digest 1afc159d02bc.

Golden (oracle-backed) 2 / 2
CVP boundary 5 / 5
Invalid input 4 / 4
Property 7 / 7
Cross-interface 1 / 1
CVP contract 1 / 1
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:03a966424578294e6837b162b9ea379b5ba5afe0d01b9820f60a3d85cfcafc94

Input schema sha256:af0d832636c5bd05d0d7acab828a193972b9fe496492ccc81f7e63b90b26c5b7 · Output schema sha256:4f23bb998c98ff258e3e15be0a5aafcd9961449c77a6ef3b7f237ce5ba6bea16 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: rlc-resonance
Engine: rlc-resonance
Engine build: 2026-09-10
Evidence core: 2026-09-05T02:35:39.217Z
Rendered: 2026-09-16T22:03:43.712Z
Last reviewed: 2026-08-08

Assumptions

Lumped ideal R, L, C.
Parallel mode is ideal R across LC (no coil ESR).

Limitations

Ideal lumped RLC only — not coupled coils, transmission lines, or crystal models
Parallel mode assumes ideal parallel R with L and C (no ESR/ESL)
Missing/non-positive L/C/R → MISSING_REQUIRED_INPUT / VALUE_MUST_BE_POSITIVE
Unknown mode → INVALID_MODE

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

IEC 60050 — International Electrotechnical Vocabulary — Resonance, quality factor, and bandwidth
Supports: f₀, Q, and bandwidth definitions for resonant circuits
Horowitz & Hill — The Art of Electronics — RLC resonance, Q, and bandwidth
Supports: f₀=1/(2π√(LC)); series vs parallel Q
NIST Guide to the SI (SP 811) — SI units for inductance, capacitance, and frequency
Supports: H, F, Hz relationships

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`series-default`	golden	pass	Expected f0=5032.921210448703 · Q=3.16227766016838 · BW=1591.549430918953 · Z_res=10 · Actual mode=series · f0=5032.921210448703 · omega0=31622.776601683792 · Q=3.16227766016838 · BW=1591.549430918953 · X0=31.622776601683793 · Z_res=10 · L=0.001
`parallel-default`	golden	pass	Expected f0=5032.921210448703 · Q=0.3162277660168379 · BW=15915.494309189535 · Actual mode=parallel · f0=5032.921210448703 · omega0=31622.776601683792 · Q=0.3162277660168379 · BW=15915.494309189535 · X0=31.622776601683793 · Z_res=10 · L=0.001
`missing-L`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`zero-C`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`nan-R`	boundary	pass	Expected INVALID_NUMBER · Actual INVALID_NUMBER
`invalid-mode`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE
`boundary-series-default`	boundary	pass	Expected f0=5032.921210448703 · Q=3.16227766016838 · BW=1591.549430918953 · Actual mode=series · f0=5032.921210448703 · omega0=31622.776601683792 · Q=3.16227766016838 · BW=1591.549430918953 · X0=31.622776601683793 · Z_res=10 · L=0.001
`property-f0`	property	pass	f0 from LC
`property-Qs`	property	pass	series Q
`property-BW`	property	pass	BW=f0/Q
`property-same-f0`	property	pass	series/parallel share f0
`property-Qp`	property	pass	parallel Q
`property-X0`	property	pass	X0=ω0L
`property-half-R-double-Q`	property	pass	½R → 2Q (series)