Verified calculation capability

Diode equation Calculation Capability

Shockley diode Id↔Vd. Canonical T_K; UI/query alias T_C. Defaults: mode=id, n=1, T_K=300. Inverse domain Id > -Is. · Electrical · Diode

Capability ID electrical.diode.equation · version 1.1.0

Open calculator REST API MCP Evidence Evidence JSON CVP Manifest Review policy

Model

Shockley

Shockley: I_D = I_S·(e^(V_D/(n·V_T))−1)
Inverse: V_D = n·V_T·ln(1+I_D/I_S)
Thermal voltage: V_T = kT/q

Solve modes: id · vd

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

Symbol	Quantity	Unit	Role
`Vd`	Diode voltage in volts. Required when mode=id (default).	—	input / output
`Id`	Diode current in amperes. Required when mode=vd. Shockley inverse domain: Id > -Is (includes Id=0 and reverse branch).	—	input / output
`Is`	Saturation current at the selected junction temperature T. Not derived as Is(T) from a reference-temperature value.	—	input
`n`	Ideality factor. Default 1.	—	input
`T`	Junction temperature in kelvin. Canonical REST/MCP input. Default 300.	K	input
`T`	Optional Celsius alias for junction temperature. UI/query accept T_C; canonical schema is T_K. If both are sent, T_K wins.	°C	input
`Vt`	—	—	output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Ideal Shockley; no series Rs, breakdown, recombination extras, or high-injection
I_S is the saturation current at the selected junction temperature; I_S(T) is not derived

Not supported

Breakdown
series R_s
capacitance
high-injection
SPICE models
automatic I_S(T)

Example

One numerical check. The calculator page holds worked steps and FAQ.

Vd=0.7 Is=1e-12 n=1 T_K=300 → Id≈0.574755 A

Open this example in the calculator

Trust

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance. Computational verification is defined by CVP. Supplemental domain review (internal) and named expert review are defined by the Review policy and do not by themselves determine CVP conformance.

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Assurance: Engineering
Declared partition coverage: PASS · 5/5 declared partitions (fwd-id, inv-vd, reverse-bias, small-x, invalid-domain)
Calculation version: 1.1.0
Verification: 15/15 calculation tests · 5/5 legacy golden · 6/6 legacy boundary · 4/4 legacy property
Production surface contract: 4/4
Versions: Calculation 1.1.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-13.shockley-inverse-trust.2
Verification revision: 2026-09-13.shockley-inverse-trust.2 · 2/2 property · digest 4899855db55a
Reference: O1 model · O2 expected_values · O2 numerical_behavior
Interfaces: PASS · UI (SSR) / REST / MCP
ui-ssr is query-result HTML, not a live browser session.
CVP suite: 6/6 golden · 10/10 CVP boundary · 11/11 invalid · 2/2 property · 8/8 round-trip · 4/4 cross-interface · 4/4 CVP contract
Supplemental domain review: Internal · Pass · electrical-engineer
Named expert review: Not performed
Version lock: Supported (409 VERSION_MISMATCH)
Artifact consistency: Build verified · 1.1.0 (workspace artifacts agree)
Review-policy tier: Internally reviewed — catalog token internally_reviewed; supplemental; not CVP status

This calculator CURRENT · Public schema 1.1.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 4/4.

Tool id: diode-equation
Engine: diode-equation
REST: POST /api/v1/calc/diode-equation
MCP: execute_calculation with capability_id: "electrical.diode.equation"
Agent input schema: Canonical (MCP / Agent)
Output schema: JSON Schema (latest)
Versioned input schema: Immutable pin (1.1.0)
Versioned output schema: Immutable pin (1.1.0)

References

Human-readable sources plus CVP reference evidence classes.

Sources

Reference evidence classes: O1 model · O2 expected_values · O2 numerical_behavior

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"electrical.diode.equation"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.1.0) when reproducibility matters. Full protocol notes: MCP docs.