Source: https://guthlabs.ai/docs/instruments/parallel-plate-capacitor-field-energy-calculator/implementation/

instrument implementation / implementation-contract

# Parallel Plate Capacitor Field/Energy Calculator implementation

A source-bound implementation contract for Parallel Plate Capacitor Field/Energy Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**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-clean

**Evidence ID**: t5-186

**Effect**: Computation or source lookup only

## Input and validation requirements

- Reject or clearly report invalid inputs A≤0, d≤0, or εr≤0; d=0 causes division by zero.

- If Q is used to calculate V or E, A and C must be nonzero.

- If both Q and V are supplied, validate Q=CV within a defined tolerance; otherwise the result is physically inconsistent.

- A dielectric's breakdown field, plate voltage rating, leakage, frequency dependence, and temperature dependence are not modeled.

- The ideal uniform-field result ignores fringing fields and is inaccurate when d is not small compared with the plate dimensions.

- The field outside the plates and the sign/direction of the field are not represented when only magnitudes are returned.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

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

````
{
  "inputs": {
    "A": 0.01,
    "d": 0.001,
    "epsilon_r": 1,
    "V": 100
  },
  "expected_outputs": {
    "E": 100000,
    "C": 8.8541878128e-11,
    "V": 100,
    "Q": 8.8541878128e-9,
    "U": 4.4270939064e-7
  },
  "working": "ε=ε0εr=(8.8541878128×10^-12)(1)=8.8541878128×10^-12 F/m. C=εA/d=(8.8541878128×10^-12)(0.01)/(0.001)=8.8541878128×10^-11 F. E=V/d=100/0.001=1.00×10^5 V/m. Q=CV=(8.8541878128×10^-11)(100)=8.8541878128×10^-9 C. U=½CV²=½(8.8541878128×10^-11)(100²)=4.4270939064×10^-7 J."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/parallel-plate-capacitor-field-energy-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/parallel-plate-capacitor-field-energy-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/parallel-plate-capacitor-field-energy-calculator/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`