OpenSTEMTool / Engineering / Electrical & Electronics Engineering
RLC Circuit Analyzer – Free Online Scientific Calculator
Plot circuit impedance, current, and phase across driving frequency for a series RLC model.
Interactive & 100% Free: Enter your values directly in the calculator above or change the default inputs below to compute outputs instantly in your browser. All computations run locally for immediate privacy and high performance.
What this tool calculates
Explore resonance in a series RLC circuit. This computational model is built for university students, educators, lab researchers, and practicing engineers who need transparent, verified scientific calculations.
Calculation method and underlying formula
Ideal series RLC: |Z| = √(R² + (ωL−1/(ωC))²); f₀=1/(2π√LC), Δf=R/(2πL).
The calculation evaluates relationships between input variables according to standard scientific principles. Inspect the editable parameter table below to test specific values.
Step-by-step calculation guide
- Input Parameters: Enter the required values into the parameter table below.
- Model Evaluation: The system automatically evaluates the governing equations locally with high numerical precision.
- Analyze & Export: Review the calculated outputs, inspect the generated curve plot, and download publication-ready reports or CSV data.
Worked example: default input values
The default worked example demonstrates calculation with the following parameters. You can modify any value in the interactive panel to re-evaluate your specific scenario:
| Parameter | Example value | Unit |
|---|---|---|
| Resistance R (Ω) | 100 | — |
| Inductance L (H) | 0.1 | — |
| Capacitance C (µF) | 10 | — |
| RMS source voltage (V) | 10 | — |
| Minimum frequency (Hz) | 10 | — |
| Maximum frequency (Hz) | 1000 | — |
Worked example results
Based on the default parameters entered above, the model computes the following quantities:
| Calculated quantity | Output value | Unit |
|---|---|---|
| Resonance frequency | 159.155 | Hz |
| Quality factor Q | 1 | — |
| Bandwidth (half-power) | 159.155 | Hz |
| Current at resonance | 0.1 | A |
| Impedance at resonance | 100 | Ω |
| Phase at minimum frequency | -86.3905 | ° |
Assumptions and interpretation
- This is a SERIES RLC circuit only. Components are modeled as ideal and the input source as sinusoidal RMS.
- For narrow plotting intervals, the true resonance peak may lie outside the displayed range.
Educational calculations are not substitutes for professional engineering design approvals, certified laboratory assays, clinical diagnostics, or peer-reviewed scientific publications. Always inspect units, verify physical domains, and evaluate boundary conditions.
Frequently asked questions (FAQ)
How does the RLC Circuit Analyzer calculator work?
The calculator computes results locally in your browser using the established mathematical model: Ideal series RLC: |Z| = √(R² + (ωL−1/(ωC))²); f₀=1/(2π√LC), Δf=R/(2πL).
What are the input parameters for RLC Circuit Analyzer?
The required parameters include: Resistance R (Ω) (dimensionless), Inductance L (H) (dimensionless), Capacitance C (µF) (dimensionless), RMS source voltage (V) (dimensionless), Minimum frequency (Hz) (dimensionless), Maximum frequency (Hz) (dimensionless).
What assumptions apply to this RLC Circuit Analyzer model?
This is a SERIES RLC circuit only. Components are modeled as ideal and the input source as sinusoidal RMS.. For narrow plotting intervals, the true resonance peak may lie outside the displayed range.
Can I export results from this calculator?
Yes. OpenSTEMTool supports exporting publication-ready SVG charts, PNG graphics, raw CSV data tables, JSON parameter archives, and printable HTML/PDF scientific reports.
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