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Eddy-Current Inspection by the Numbers
Conductivity, coating thickness, cracks, sorting and tube testing, with the statistics that make each result a decision
How eddy-current testing works and how to use it with numbers: penetration depth, conductivity and temper, coating thickness, cracks, sorting, tubes, thresholds and records.
Start readingAbout this book
Pass an alternating current through a coil and hold it near a metal, and the coil’s magnetic field induces circulating currents in the metal: eddy currents. They flow in a layer near the surface, and they push back on the coil, changing its impedance. Anything that changes how easily the currents flow, or where they can flow, changes that impedance: the metal’s conductivity and magnetic permeability, the distance between coil and metal, the thickness of the part and any crack across the currents’ path. Measuring the change lets an inspector check a heat treatment, measure a coating, find a crack or sort mixed parts, in seconds, without touching or marking the part.
This book shows how to use eddy-current testing with numbers. It starts with what the coil sees and how deep the currents reach, then works through conductivity and what it reveals about a metal, measuring it reliably, coating thickness, surface cracks, sorting steel parts and testing tubes. It finishes with the decisions: thresholds, false calls and missed defects, acceptance sampling and capability, and the procedure, people and records that make a test result trustworthy.
It is for quality engineers, inspection technicians, manufacturing engineers and supplier quality staff. It assumes engineering or trade training and comfort with basic electricity and statistics; the electromagnetism and the statistical methods are explained as they are used. Each chapter works the running case with real numbers, includes one plausible mistake and how it was found, links the KEVOS® tools that do the chapter’s calculations, and ends with an exercise and its worked answer.
The running case
Every chapter follows one product line. This is an illustration. A maker of hydraulic gear pumps in Dandenong South, Victoria, builds the PH-6 pump family and uses eddy-current methods at three points:
- Housings: machined from 6061-T6 aluminium bar and sulfuric acid anodised to 15 to 25 µm. Each incoming bar’s temper is checked by conductivity against the maker’s band of 42.0 to 45.0 %IACS, and the anodising thickness is measured on every batch.
- Drive shafts: 42CrMo4 steel, induction hardened at the two bearing journals and ground. The journals are scanned for grinding cracks with a four-element surface probe, and every shaft passes a comparator coil that sorts out any whose journals missed hardening.
- Oil cooler: built in-house from 90/10 copper-nickel tubes 12.7 mm in diameter with 1.0 mm walls, bought in lots of 2,000. The tube maker tests every tube with an encircling coil, and the pump maker audits the records and samples the tubes on its own test bench.
Conductivity bands, readings, signal amplitudes, noise levels, prices and test results are the pump maker’s working figures or are calculated from stated assumptions. They do not describe KEVOS® work or any real business, instrument maker, material supplier or customer. Material properties are typical values for illustration; real acceptance limits come from the material and product specifications a customer calls up. Prices are in Australian dollars excluding GST.
How to use the book
Read Chapters 1 and 2 first: they explain the coil’s response and the depth of penetration, which every later chapter uses. Chapters 3 and 4 go together on conductivity. Chapters 5 to 8 can then be read in any order. Chapter 9 brings the statistical decisions together, and Chapter 10 the procedure, records and cost.
Every calculation in the book was checked by running it, and the KEVOS® tools linked from each chapter were checked against the calculations they perform. Where a tool was built for a different purpose but does one step of a chapter’s calculation, such as the induction hardening plan’s reference depth, the chapter says which output is used and which are not.
Source limits and professional responsibility
This book is educational. Eddy-current testing of safety-critical parts, pressure equipment and aircraft is governed by product standards, customer specifications and written procedures, and is performed and interpreted by personnel certified for the method. The book names the standards that apply to its examples by number and scope only; it does not reproduce their requirements, and they must be read in full before use. Decisions about real parts remain with the competent people responsible for them.
Who this book is for
Quality engineers, inspection technicians, manufacturing engineers and supplier quality staff who specify, run, audit or act on eddy-current tests of metal parts, coatings and tubes.
What you will learn
- Explain how a coil's impedance responds to a metal's conductivity, permeability, distance and flaws, and read an impedance-plane display.
- Choose a test frequency from the standard depth of penetration for conductivity, coating, crack and tube tests.
- Use conductivity and coating thickness measurements to check temper and anodising, with calibration, gauge studies and temperature correction.
- Set up crack detection, steel sorting and tube testing with reference standards, scan plans and thresholds that balance false calls and misses.
- Turn readings into acceptance decisions with sampling plans, capability bounds, outlier checks and a written procedure and record.
Inside this book
Chapters
- 01Coils, eddy currents and the impedance planeHow a coil induces eddy currents in a metal, why the coil's resistance and reactance change, how to read an impedance-plane display, and how to set the phase so lift-off is not read as a flaw.
- 02Standard depth of penetration and choosing a frequencyHow deep eddy currents reach in aluminium, copper alloys and steel, the three-depth thickness rule for conductivity tests, the stacking test, and choosing a frequency for each job.
- 03Electrical conductivity and what it reveals about a metalThe %IACS scale, why alloying and heat treatment change conductivity, correcting readings to 20 °C, calibrating a conductivity meter, and catching a mislabelled aluminium bar.
- 04Measuring conductivity reliablyEdge distance, curvature, lift-off and probe condition in conductivity readings, a Type 1 gauge study on a reference standard, and an uncertainty budget for the acceptance band.
- 05Coating thickness by lift-offMeasuring anodising on aluminium as lift-off, why coating thickness is not dimensional growth, calibrating with foils, a wrong zero that drove the process off target, and tolerance intervals.
- 06Finding surface cracksScanning ground journals for cracks: reference notches, signal and noise, the alarm threshold, scan pitch and coverage, how scan speed meets the instrument's filters, and charting rejects.
- 07Sorting steel parts by permeability and hardnessComparator sorting of steel parts with an encircling coil, separating hardened from unhardened shafts, what overlapping populations do to a threshold, and a new bar supplier's shifted signals.
- 08Testing tubes and bars with encircling coilsEncircling-coil testing of tubes: fill factor, frequency for the wall, differential and absolute coils, line speed, reference tubes and end zones, and auditing a supplier with a sampling plan.
- 09Thresholds, false calls and acceptance decisionsProbability of detection and false calls, guard bands from measurement uncertainty, capability with confidence bounds, lot acceptance, and testing a suspect reading before discarding it.
- 10Procedures, people, records and costWhat a written eddy-current procedure contains, personnel qualification, reference checks and what to do when one fails, the records that make a result traceable, and the cost per part.
Apply This in Practice
Use these KEVOS® tools to try the method from this reading with your own numbers.
Applies this method
Acceptance Sampling Plan (n and c for Producer and Consumer Risk)
Designs the smallest tube sampling plan meeting the producer's and consumer's risks and checks the supplier's proposed plan against them.
Applies this method
Acceptance Sampling Probability (OC Curve)
Gives the probability that a tube audit plan accepts lots at several fractions defective, revealing how weakly a 50-tube plan protects.
Applies this method
Anodizing Plan (Time, Current, Tank Heat, Loads and Cost per Part)
Plans the housing anodising batch: time, current against the rectifier, bath heat against cooling, loads, line hours and cost per part.
Used in Coating thickness by lift-off
Applies this method
Anodizing Time and Coating Thickness
Gives anodising growth rate, time to thickness and build-up per surface by the 720 rule, separating the coating the gauge reads from the change in a bore's size.
Used in Coating thickness by lift-off
Applies this method
Brinell Hardness Test Check (Hardness, Validity Rules, Specification)
Evaluates a Brinell test on aluminium bar for hardness and validity, used to confirm that a bar with high conductivity was annealed rather than T6.
Used in Electrical conductivity and what it reveals about a metal
Applies this method
Capability Confidence Check (Cp, Cpk and Their Lower Confidence Bounds, Sample Size)
Gives Cp and Cpk of the coating thickness with lower confidence bounds and the sample size needed to prove the required Cpk.
Applies this method
Gauge Repeatability and Bias Check (Type 1 Study: Cg, Cgk, Bias t-Test)
Type 1 study of the conductivity meter on a reference standard: bias, Cg, Cgk, bias t-test and resolution against the acceptance band.
Used in Measuring conductivity reliably
Applies this method
Grubbs Outlier Check (Suspect Value, G Statistic, Critical Value, Significance)
Tests a suspect coating reading as an outlier before its cause, an edge effect, was found and the reading replaced.
Applies this method
Instrument Calibration Check (Errors, Accuracy Class, Interpolated Correction)
Checks the coating gauge at zero and four foils against its accuracy class and corrects a service reading by interpolation.
Used in Coating thickness by lift-off
Applies this method
Linear Calibration Check (Straight-Line Fit, Calibrated Value, Calibration Interval)
Fits a calibration line to a conductivity meter's readings on five reference standards, tests offset and gain, and gives a calibrated value with its interval.
Used in Electrical conductivity and what it reveals about a metal
Applies this method
Lot Acceptance from Process Capability (Fraction Defective, Sampling Plan Risk)
Links coating process capability to the customer's sampling plan: fraction outside specification, probability a batch passes and outgoing quality.
Applies this method
Machine Hour Rate
Builds the eddy-current inspection station's hourly cost, giving the cost per housing, per shaft and per tube lot audit.
Applies this method
Normal Tolerance Interval Check (Coverage, Confidence, Tolerance Factor, Against Specification)
Turns 30 coating readings into limits containing 95% of housings with 95% confidence and compares them with the specification.
Used in Coating thickness by lift-off
Applies this method
p-Chart Check (Fraction Defective, Control Limits, Samples Out of Control)
Charts the daily fraction of shafts rejected for confirmed journal cracks against binomial control limits and flags a day with a special cause.
Used in Finding surface cracks
Applies this method
Sample Size to Estimate a Mean
Gives the number of conductivity readings needed to estimate a bar's mean within a chosen margin from the meter's repeatability.
Used in Measuring conductivity reliably
Applies this method
Two-Sample Comparison (t-test)
Welch's t-test comparing mean conductivity of two bar suppliers and, in Chapter 7, the comparator output of shafts from two bar suppliers.
Used in Electrical conductivity and what it reveals about a metal
Applies this method
Two-Variance F Test (Compare the Spread of Two Machines, Batches or Methods)
F test showing that the comparator output of a new bar supplier's shafts scatters more than the original supplier's.
Applies this method
Vickers Hardness Test Check (Hardness, Validity, Specification)
Evaluates a Vickers HV10 test on a sectioned journal, confirming that shafts rejected by the comparator were correctly hardened.
Related Tools and Examples
Useful alongside
Induction Hardening Plan (Reference Depth, Frequency for the Case, Heating Energy and Power)
Its reference depth output is the standard depth of penetration from resistivity, permeability and frequency; only that output is used here, not the hardening energy or power.
Related to Standard depth of penetration and choosing a frequency
References and source notes
The manuscript and worked examples are original KEVOS® writing. References inform particular concepts; their authors do not endorse this book. Web references were consulted on 1 November 2026.
- M. Dressel and G. Grüner, Cambridge University Press. Electrodynamics of Solids: Optical Properties of Electrons in Matter (2002). Copyright work, used only as a map of ideas: the skin effect and its dependence on frequency and conductivity, the surface impedance of a conductor, the free-electron picture of conductivity and scattering, and the description of resonant circuits and their losses. No text, equations as set out there, figures or problems are reproduced, and all cases and calculations are KEVOS® originals.
- D. J. Hagemaier, American Society for Nondestructive Testing. Fundamentals of Eddy Current Testing (1990). Background for coils and probes, the impedance plane, standard depth of penetration, conductivity and coating measurement, and reference standards, used throughout.
- H. L. Libby, Wiley-Interscience. Introduction to Electromagnetic Nondestructive Test Methods (1971). Background for the coupled-circuit model of a probe and test part used in Chapter 1, and for encircling-coil testing of tubes and bars in Chapter 8.
- National Institute of Standards and Technology. NIST/SEMATECH e-Handbook of Statistical Methods (2012). Background for the calibration, gauge, tolerance interval, capability, outlier and sampling methods used in Chapters 3 to 9 and in the KEVOS® tools linked from them.