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Inductor Flux Linkage Current Point Tool

Return flux linkage and differential inductance under an explicitly constant linear-inductor model.

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Description

fluxLinkage = inductance*current; differentialInductance = inductance.

Capacitors and inductors store energy under voltage and current conventions, respectively. An ideal endpoint energy difference, charge balance or flux-linkage balance does not determine the transient path or how energy is dissipated.

fluxLinkage = inductance*current; differentialInductance = inductance.

When to use this tool

Use Inductor Flux Linkage Current Point when checking one ideal storage-state comparison or supplied balance.

How to use the tool and how it works

  1. Enter inductance, current. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read fluxLinkage, differentialInductance. Use the output convention below.

Require nonnegative inductance. fluxLinkage = inductance*current; differentialInductance = inductance.1

Input fieldMeaning and unitsAccepted input
inductanceInductance; use henries with SI electrical inputs.Required. Finite number; minimum 0.
currentSigned electric current; use amperes with SI electrical inputs.Required. Finite number.
Output fieldInterpretationReturned shape
fluxLinkageFlux LinkageRequired. Finite number.
differentialInductanceDifferential InductanceRequired. Finite number.
json
{
  "input": {
    "inductance": 2,
    "current": -3
  },
  "output": {
    "fluxLinkage": -6,
    "differentialInductance": 2
  }
}

Limitations and assumptions

  • With H and A, linkage is Wb-turns. This assumes constant linear inductance, not a measured nonlinear flux-current curve or saturation model.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete switching and loss model, with component limits, when analyzing practical connections or energy transfer.

References

  1. Calculation and input contract: electricity/inductor-flux-linkage-current-point — tool.io

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