Parallel Plate Capacitor Field/Energy Calculator implementation

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

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