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Series RLC Impedance — result sheet
Calculate the magnitude, net reactance, and phase angle of an ideal series RLC circuit at one frequency.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Z = sqrt(R^2 + (2 pi f L - 1/(2 pi f C))^2).
The ideal series-RLC model combines resistance with the difference between inductive and capacitive reactance. The phase angle is measured from the resistance axis and identifies net inductive or capacitive behavior.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Resistance — ohm; minimum 0; maximum 1000000000
- Inductance — H; minimum 1.0E-12; maximum 1000000
- Capacitance — F; minimum 1.0E-15; maximum 1000000
- Frequency — Hz; minimum 1.0E-9; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Resistance | 10 |
| Inductance | 0.01 |
| Capacitance | 1.0E-6 |
| Frequency | 1000 |
Series impedance magnitude is about 96.841 ohm with net capacitive reactance.
Assumptions and limits
- The elements are ideal, connected in series, and driven by a steady sinusoid.
- Resistance is nonnegative; inductance, capacitance, and frequency are positive SI values.
- Component tolerance, parasitic effects, mutual coupling, nonlinear core behavior, and source/load impedance are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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