Ferrite Core Impedance At Frequency Calculator

Read measured ferrite complex impedance curve in log-frequency including reactance sign through resonance; not constant RL choke magnitude or ferrite insertion loss, no DC bias extrapolation.

Description

Ferrite impedance has resistive and signed reactive components.

Ferrite impedance has resistive and signed reactive components. Log-frequency interpolation preserves a possible reactance sign change.1

Enter aligned positive strictly increasing frequencies, nonnegative resistances and finite signed reactances with at least two points, plus positive in-range query. Interpolate R/X against log frequency; return components, magnitude and phase.

When to use Ferrite Core Impedance At Frequency Calculator

Use Ferrite Core Impedance At Frequency Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No insertion loss, DC-bias correction or out-of-range estimate is supplied.

Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.

How to use Ferrite Core Impedance At Frequency Calculator and understand its results

  1. Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
  2. Enter calibratedFrequenciesHz, observedResistanceOhms, observedReactanceOhms, queryFrequencyHz using the field table and calculation rules, then run the tool.
  3. Read interpolatedResistanceOhms, interpolatedReactanceOhms, impedanceMagnitudeOhms, impedancePhaseDegrees. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
calibratedFrequenciesHzCalibrated frequencies hzlist of numberRequired
observedResistanceOhmsObserved resistance ohmslist of numberRequired
observedReactanceOhmsObserved reactance ohmslist of numberRequired
queryFrequencyHzQuery frequency hznumberRequired

Enter aligned positive strictly increasing frequencies, nonnegative resistances and finite signed reactances with at least two points, plus positive in-range query. Interpolate R/X against log frequency; return components, magnitude and phase.

Zmag=hypot(R,X); phase=atan2(X,R)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
interpolatedResistanceOhmsInterpolated resistance ohmsnumber
interpolatedReactanceOhmsInterpolated reactance ohmsnumber
impedanceMagnitudeOhmsImpedance magnitude ohmsnumber
impedancePhaseDegreesImpedance phase degreesnumber
json
{
  "input": {
    "calibratedFrequenciesHz": [
      100,
      1000
    ],
    "observedResistanceOhms": [
      10,
      20
    ],
    "observedReactanceOhms": [
      5,
      -5
    ],
    "queryFrequencyHz": 100
  },
  "output": {
    "interpolatedResistanceOhms": 10,
    "interpolatedReactanceOhms": 5,
    "impedanceMagnitudeOhms": 11.180339887498949,
    "impedancePhaseDegrees": 26.56505117707799
  }
}

Limitations and assumptions

No insertion loss, DC-bias correction or out-of-range estimate is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Battery Impedance Spectroscopy Calculator: Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance. For a complementary task, use Ctle Peaking Calculator: A normalized single-zero/two-pole CTLE transfer expresses frequency gain relative to DC. Pole and zero choices are caller parameters.

References

  1. Ferrite Core Impedance At Frequency Calculator — tool.io

Similar or alternative tools

  • Battery Impedance Spectroscopy Calculator

    Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance.

  • Ctle Peaking Calculator

    A normalized single-zero/two-pole CTLE transfer expresses frequency gain relative to DC. Pole and zero choices are caller parameters.

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