When to use this calculator
Find the ideal voltage-current phase angle of a series RLC impedance. Positive indicates net inductive reactance in this impedance sign convention.
Explore the ac power & reactance calculators for other questions in this topic. For a related calculation, use the Single Phase AC Current Calculator: Find single-phase RMS current from real power, voltage and power factor.
PUTTING IT INTO PRACTICE
Series RLC Phase Angle: 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) | 4 |
| Capacitive reactance (Ω) | 0 |
| Result | 53.130102 degrees |
- Check the input labels and enter the example values above.
- Apply the relationship: Phase angle = atan2(XL−XC,R).
- The result is 53.130102 degrees, rounded for display.
How to interpret your result
Positive indicates net inductive reactance in this impedance sign convention.
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 phase angle calculator useful?
Find the ideal voltage-current phase angle of a series RLC impedance. Positive indicates net inductive reactance in this impedance sign convention.
How do I use the series rlc phase angle 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?
Phase angle = atan2(XL−XC,R).
What should I check before using the result?
Positive indicates net inductive reactance in this impedance sign convention.
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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