Turn resistance and reactance into impedance for inspectors. Review magnitude, angle, and tolerance decisions instantly. Keep measurement records ready for audits and supplier checks.
| Sample | R | X | Frequency | Nominal Z Target | QC Note |
|---|---|---|---|---|---|
| QC-101 | 8.5 Ω | 3.2 Ω | 1000 Hz | 8 + j3 Ω | Near target. Review tolerance. |
| QC-102 | 12.0 Ω | -4.5 Ω | 5000 Hz | 12 - j4 Ω | Capacitive trend observed. |
| QC-103 | 1.2 kΩ | 0.8 kΩ | 60 Hz | 1 + j1 kΩ | Angle check recommended. |
Rectangular form: Z = R + jX
Magnitude: |Z| = √(R² + X²)
Phase angle: θ = tan-1(X / R), calculated with atan2(X, R)
Conjugate: Z* = R - jX
Admittance: Y = 1 / Z = (R - jX) / (R² + X²)
Conductance: G = R / (R² + X²)
Susceptance: B = -X / (R² + X²)
Inductance when X is positive: L = X / (2πf)
Capacitance when X is negative: C = 1 / (2πf|X|)
QC deviation: Deviation % = |Measured - Nominal| / |Nominal| × 100
A z=r+jx calculator helps inspection teams convert measured resistance and reactance into a usable complex impedance value. This matters during incoming checks, bench testing, and final verification. Quality control staff often review sensors, coils, filters, and test fixtures. Each device can show both resistive and reactive behavior. A clear calculator reduces manual mistakes. It also improves traceability.
Complex impedance contains two parts. The real part is resistance. The imaginary part is reactance. Together they describe how a part behaves under alternating conditions. A quality review becomes stronger when engineers inspect magnitude, phase angle, and admittance together. These values show whether the measured sample matches the target profile. They also reveal drift, damage, or assembly variation.
This tool is practical for production quality control. You can enter measured R and X values, a nominal target, and an allowed tolerance. The calculator then estimates deviation and pass or fail status. That saves time during line audits and supplier inspections. It also makes repeated checks more consistent across shifts. Export options support reporting and record keeping.
The calculator returns rectangular and polar results. It also shows conjugate form, conductance, susceptance, and power factor. When frequency is known, the page estimates inductance or capacitance from reactance. That adds context during troubleshooting. Teams can compare measured behavior with the expected design intent. They can also store results in CSV format or save the report as PDF for review packs.
A good z=r+jx calculator should stay simple on screen and detailed in output. This page uses a clean single column flow with the result shown above the form after submission. That makes repeated testing easier. The example table, formulas, and usage steps also help new technicians understand the method. Because the outputs are standardized, supervisors can review multiple samples with less interpretation risk. That improves communication between operators, quality engineers, and suppliers when corrective action is needed. For factories, labs, and service centers, this calculator supports faster decisions, cleaner records, and more reliable quality control work.
j represents the imaginary unit. It is used in impedance work so the symbol i is not confused with electric current.
It helps inspectors compare measured impedance against nominal targets. That supports acceptance testing, supplier checks, and failure analysis.
A negative reactance usually indicates capacitive behavior. The calculator still computes magnitude, angle, and admittance correctly.
Yes. Enter nominal R, nominal X, and a tolerance percentage. The page compares measured magnitude against the nominal magnitude.
The phase angle shows the direction and strength of reactance relative to resistance. It helps identify inductive or capacitive trends.
Admittance is the inverse of impedance. It is useful when inspection standards or circuit models are easier to review in conductance and susceptance form.
Yes, when frequency is entered. Positive reactance gives equivalent inductance. Negative reactance gives equivalent capacitance.
Use the CSV link for spreadsheet records. Use the PDF button to print or save the current result page as a PDF document.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.