EC Formula

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Home - General Resources - Eddy Current Inspection Formula - Ohm's Law Impedance Phase Angle Magnetic Permeability Where: I Current (amp) V Voltage (volt) Z Impedance (ohm) More Information Ohm's Law Calculator Where: Z Impedance (ohm) R Resistance (ohm) X L Inductance Reactance(ohm) More Information Where: Phase Angle (deg) X L Inductance Reactance(ohm) R Resistance (ohm) More Information Phase Angle Calculator Where: Magnetic Permeability (Henries/meter) B Magnetic Flux Density (Tesla) H Magnetizing Force (Am/meter) Relative Magnetic Permeability Conductivity & Resistivity Electrical Conductivity (%IACS) Electrical Conductivity (%IACS) Where: r Relative Magnetic Permeability (dimensionless) Any Given Magnetic Permeability (H/m) o Magnetic Permeability in Free Space (H/m), which is 1.257 x 10 -6 H/m More Information Where: Electrical Conductivity Siemens/m Electrical Resistivity (ohm-m) More Information When resistivity is known Where: IACS Electrical Conductivity (% IACS) Electrical Resistivity ( ohm-cm) S/cm Electrical Conductivity ( Siemens/cm) More Information When conductivity in S/m or S/cm is known or Where: IACS Electrical Conductivity (% IACS) S/m Electrical Conductivity (Siemens/meter) S/cm Electrical Conductivity ( Siemens/cm) More Information Current Density Standard Depth of Penetration Standard Depth of Penetration Standard Depth of Penetration Where: J x Current Density (amps/m 2 ) J o Current Density at Surface (amps/m 2) e Base Natural Log = 2.71828 x Distance Below Surface Standard Depth of Penetration More Information When electrical conductivity (S/m) is known. Where: Standard Depth of Penetration (m) 3.14 f Test Frequency (Hz) Magnetic Permeability (H/m) (1.257 x 10 -6 H/m for nonmagnetic mat'ls) Electrical Conductivity (Siemens/m) More Information Depth of Pen Calculator When electrical conductivity ( IACS) is known. In mm In inches Where: Standard Depth of Penetration (mm or in) f Test Frequency (Hz) r Relative Magnetic Permeability (dimensionless) Electrical Conductivity (%IACS) More Information When electrical resistivity ( ohm-cm) is known. In mm In inches Where: Standard Depth of Penetration (mm or in) Electrical Resistivity ( ohm-cm) f Test Frequency (Hz) r Relative Magnetic Permeability (dimensionless) More Information

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EC Formula

Transcript of EC Formula

  • Home - General Resources-

    Eddy Current Inspection Formula-

    Ohm's Law Impedance Phase Angle MagneticPermeability

    Where:

    I Current (amp)V Voltage (volt)

    Z Impedance (ohm)

    More InformationOhm's Law Calculator

    Where:

    Z Impedance (ohm)R Resistance (ohm)XL Inductance

    Reactance(ohm)

    More Information

    Where:

    Phase Angle (deg)

    XLInductanceReactance(ohm)

    R Resistance (ohm)

    More InformationPhase Angle Calculator

    Where:

    Magnetic Permeability(Henries/meter)

    B Magnetic Flux Density(Tesla)H Magnetizing Force

    (Am/meter)

    Relative Magnetic

    PermeabilityConductivity &

    ResistivityElectrical

    Conductivity(%IACS)

    Electrical Conductivity

    (%IACS)

    Where:

    rRelative MagneticPermeability(dimensionless)

    Any Given MagneticPermeability (H/m)

    o

    MagneticPermeability in FreeSpace (H/m), which is1.257 x 10-6 H/m

    More Information

    Where:

    ElectricalConductivitySiemens/m

    ElectricalResistivity(ohm-m)

    More Information

    When resistivity is known

    Where:

    IACSElectricalConductivity(% IACS)

    ElectricalResistivity(ohm-cm)

    S/cmElectricalConductivity(Siemens/cm)

    More Information

    When conductivity in S/m or S/cm is known

    or

    Where:

    IACSElectricalConductivity(% IACS)

    S/mElectricalConductivity(Siemens/meter)

    S/cmElectricalConductivity(Siemens/cm)

    More Information

    Current Density Standard Depthof PenetrationStandard Depthof Penetration

    Standard Depthof Penetration

    Where:

    JxCurrent Density(amps/m2)

    Jo Current Density atSurface (amps/m2)

    e Base Natural Log =2.71828x Distance Below Surface Standard Depth of

    Penetration

    More Information

    When electrical conductivity(S/m) is known.

    Where:

    Standard Depth ofPenetration (m)

    3.14f Test Frequency (Hz)

    MagneticPermeability (H/m)(1.257 x 10-6 H/m fornonmagnetic mat'ls)

    ElectricalConductivity(Siemens/m)

    More Information Depth of Pen Calculator

    When electrical conductivity ( IACS) is known.

    In mm

    Ininches

    Where:

    Standard Depth ofPenetration (mm or in)

    f Test Frequency (Hz)

    rRelative MagneticPermeability(dimensionless)

    ElectricalConductivity(%IACS)

    More Information

    When electrical resistivity (ohm-cm) is known.

    In mm

    Ininches

    Where:

    Standard Depth ofPenetration (mm or in)

    Electrical Resistivity(ohm-cm)

    f Test Frequency (Hz)

    rRelative MagneticPermeability(dimensionless)

    More Information

  • Standard Depth of PenetrationVersus Frequency Chart

    Eddy Current Field Phase Lag

    Eddy Current Field Phase Lag

    Eddy Current Field Phase Lag

    Eddy Current Field Phase Lag

    InRadians

    InDegrees

    Where:

    Phase Lag (Rad orDegrees)

    x Distance Below Surface(in or mm) Standard Depth of

    Penetration (in or mm)

    More Information

    When electrical conductivity(S/m) is known.

    Where:

    Phase Lag (degrees)

    x Distance BelowSurface (m) 3.14f Test Frequency (Hz)

    rRelative MagneticPermeability

    Electrical Conductivity(Siemens/m)

    More Information

    When electrical conductivity ( IACS) is known.

    In mm

    Ininches

    Where:

    Phase Lag (degrees)

    x Distance BelowSurface (mm)f Test Frequency (Hz)

    rRelative MagneticPermeability(dimensionless)

    ElectricalConductivity(%IACS)

    More Information

    When electrical resistivity (ohm-cm) is known.

    In mm

    Ininches

    Where:

    Phase Lag (degrees)

    x Distance BelowSurface (inch)

    Electrical Resistivity(ohm-cm)

    f Test Frequency (Hz)

    rRelative MagneticPermeability(dimensionless)

    More Information

    Standard Depth ofPenetration and

    Phase Angle

    Material ThicknessRequirement for

    Resistivity orConductivity

    Measurement

    FrequencySelection

    for ThicknessMeasurement of

    Thin Materials

    Frequency Selectionfor Flaw Detection and Nonconductive Coating ThicknessMeasurements

    Std.Depth

    RelativeStrengthof EC

    Phase Lag

    0 e0=100% 0 rad = 0o

    d e-1=37% 1 rad = 57.3o

    2d e-2=14% 2 rad = 114.6 o

    3d e-3=5% 3 rad = 171.9 o

    4d e-4=2% 4 rad = 229.2 o

    5d e-5=0.7% 5 rad = 286.5 o

    When measuring resistivity orconductivity, the thickness ofthe material should be at least 3times the depth of penetrationto minimize material thicknesseffects

    Where:

    t Material Thickness

    Standard Depth ofPenetration

    More Information

    Selecting a frequency thatproduces a standard depth ofpenetration that exceeds thematerial thickness by 25% willproduce a phase angle ofapproximately 90obetween theliftoff signal and the materialthickness change signal.

    More Information

    Defect Detection A test frequency that puts thestandard depth of penetration atabout the expected depth of thedefect will provide good phaseseparation between the defectand liftoff signals.

    Nonconductive CoatingThickness MeasurementTo minimize effects from thebase metal the highestpractical frequency should beused.