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Admittance Conductance Susceptance Sign Pair Tool

Classify the susceptance sign of G+jB under the exp(+j*omega*t) admittance convention.

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Description

magnitude = hypot(conductance,susceptance); capacitive is true when susceptance > 0 and inductive when susceptance < 0.

Sinusoidal electrical calculations need a common frequency, phase reference and RMS or peak convention. Phasor sums, complex power and composite RMS describe different operations; a sign label alone does not establish a physical connection or waveform.

magnitude = hypot(conductance,susceptance); capacitive is true when susceptance > 0 and inductive when susceptance < 0.

When to use this tool

Use Admittance Conductance Susceptance Sign Pair when checking a stated phasor, power or RMS convention.

How to use the tool and how it works

  1. Enter conductance, susceptance. 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 magnitude, capacitive, inductive. Inspect capacitive, inductive before interpreting the associated values.

Require nonnegative conductance. magnitude = hypot(conductance,susceptance); capacitive is true when susceptance > 0 and inductive when susceptance < 0.1

Input fieldMeaning and unitsAccepted input
conductanceConductanceRequired. Finite number; minimum 0.
susceptanceSusceptanceRequired. Finite number.
Output fieldInterpretationReturned shape
magnitudeMagnitudeRequired. Finite number.
capacitiveCapacitiveRequired. Boolean.
inductiveInductiveRequired. Boolean.
json
{
  "input": {
    "conductance": 3,
    "susceptance": 4
  },
  "output": {
    "magnitude": 5,
    "capacitive": true,
    "inductive": false
  }
}

Limitations and assumptions

  • Use a common admittance unit and the stated positive-capacitive sign convention. At zero susceptance both flags are false; the model does not identify a physical component.
  • 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 compatible measured waveforms and a complete circuit or harmonic model when signals are distorted, references differ or practical limits matter.

References

  1. Calculation and input contract: electricity/admittance-conductance-susceptance-sign-pair — tool.io

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