Public evidence

electrical.capacitance

Machine-checked verification for calculation version 1.1.0 · tier internally_reviewed

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP status

Ideal parallel plates with a homogeneous isotropic dielectric fully filling the gap. εr is a scalar ≥ 1. Fringing, frequency dependence, dielectric loss, leakage, ESR/ESL and parasitics are neglected.

Declared partition coverage: PASS · 4/4 declared partitions (plate, parallel, series, invalid-domain)
Versions: Calculation 1.1.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-11.url-canonical-mode
Verification revision: 2026-09-11.url-canonical-mode · 5/5 property · digest 2e5db26b1665

Verification

Legacy regression suite: 17/17 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (17/17 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 1.1.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-11.url-canonical-mode. Calculation version 1.1.0. CVP 1.0.0-proposed. 3/3 golden · 9/9 CVP boundary · 12/12 invalid · 5/5 property · 5/5 metamorphic · 7/7 cross-interface · 4/4 CVP contract. digest 2e5db26b1665.

Golden (oracle-backed) 3 / 3
CVP boundary 9 / 9
Invalid input 12 / 12
Property 5 / 5
Metamorphic 5 / 5
Cross-interface 7 / 7
CVP contract 4 / 4
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 2/2 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
Assurance Engineering

release artifacts aligned PASS
schema output required declared PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS
rest success payload validates schema PASS

Fingerprint sha256:517e5fb7d116021589bd6cca4b4fa9db355d18438b09c41d81d446cb2237f824

Input schema sha256:898759233c3370b143287de0035df3f80febe06b5568a7e4c0fd11140f2b55b3 · Output schema sha256:b094fddc9f307c4f37eb04e6a6d5e2921190a217ee3a4dc2647c5a57c76ac1fa · 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: capacitance
Engine: capacitance
Engine build: 2026-09-11
Evidence core: 2026-09-11T14:32:48.551Z
Rendered: 2026-11-10T05:18:41.757Z
Last reviewed: 2026-09-11

Assumptions

Ideal parallel plates with a homogeneous isotropic dielectric fully filling the gap
Relative permittivity is a scalar constant (no frequency dependence or dielectric loss)
Fringing, leakage, ESR/ESL and parasitic capacitance are neglected
Scope is vacuum or conventional passive dielectric: εr ≥ 1

Limitations

Ideal parallel plates; homogeneous isotropic dielectric fully filling the gap; fringing, frequency dependence, dielectric loss, leakage, ESR/ESL and parasitics neglected

Sources

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

IEC 60050-131 — International Electrotechnical Vocabulary — Capacitance (IEV 131-12-13)
Supports: Definition C = Q/U
IEC 60050-121 — International Electrotechnical Vocabulary — Electric constant (IEV 121-11-03)
Supports: Vacuum electric permittivity ε0 used in C = ε0·εr·A/d
IEC 60050-121 — International Electrotechnical Vocabulary — Relative permittivity (IEV 121-12-13)
Supports: εr as a scalar ratio; this page does not use complex permittivity
NIST CODATA 2022 — Vacuum electric permittivity ε0
Supports: Engine constant ε0 = 8.8541878188×10⁻¹² F/m
Horowitz & Hill — The Art of Electronics, 3rd ed. — Capacitor networks (series/parallel combinations)
Supports: Parallel sum and series reciprocal sum

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.