When to use this calculator
Find impedance magnitude for a series RLC circuit from component reactances. Reactances must be evaluated at the same sinusoidal frequency.
Explore the ac power & reactance calculators for other questions in this topic. For a related calculation, use the Series RLC Phase Angle Calculator: Find the ideal voltage-current phase angle of a series RLC impedance.
PUTTING IT INTO PRACTICE
Series RLC Impedance: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Resistance (Ω) | 3 |
| Inductive reactance (Ω) | 9 |
| Capacitive reactance (Ω) | 5 |
| Result | 5 Ω |
- Check the input labels and enter the example values above.
- Apply the relationship: Impedance magnitude = √(R²+(XL−XC)²).
- The result is 5 Ω, rounded for display.
How to interpret your result
Reactances must be evaluated at the same sinusoidal frequency.
Use RMS values in the AC power relationships. Apparent power is measured in VA and real power in watts. Pure-sine conversions and balanced three-phase equations only apply under their stated assumptions.
Frequently asked questions
Why can volt-amps differ from watts?
Apparent power is the RMS voltage-current product, while real power also reflects power factor. They are numerically equal only at a power factor of one.
When is the series rlc impedance calculator useful?
Find impedance magnitude for a series RLC circuit from component reactances. Reactances must be evaluated at the same sinusoidal frequency.
How do I use the series rlc impedance calculator?
Enter resistance (ω), inductive reactance (ω), capacitive reactance (ω). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Impedance magnitude = √(R²+(XL−XC)²).
What should I check before using the result?
Reactances must be evaluated at the same sinusoidal frequency.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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