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AC Series Impedance

Combine resistance and opposing series reactances.

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Local calculations. Results are estimates, not professional advice.

Impedance magnitude

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Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.

Formula

Z=R+j(XL−XC); |Z|=√[R²+(XL−XC)²]

Combine resistance and opposing series reactances.

Worked example

Resistance (Ω)
30
Inductive reactance (Ω)
40
Capacitive reactance magnitude (Ω)
0
Impedance magnitude
50 Ω
Impedance phase
53.1301023542 °
Power factor magnitude
0.6

Scope and limitations

Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 53790f00c3fc · Example checked:

Methodology

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