RLC Impedance Calculator

Enter R, L, C, and frequency to inspect a simple ideal series RLC circuit.

R (Ω)

L (mH)

C (µF)

Frequency (Hz)

—Series impedance magnitude |Z|

—XL

—XC

—Phase angle

—Ideal resonance

Educational / low-voltage electronics calculator. Real components have tolerances and non-ideal behavior. Do not use this page as a substitute for qualified design or safety guidance for mains/high-energy electrical systems.

Electrical model check

Verify the circuit relation, units, and result

ideal series RLC at one frequency

|Z| = √(R² + (XL−XC)²) · φ = atan2(XL−XC,R)

Reading the current calculator inputs…

At ideal resonance XL = XC and the reactive terms cancel.

Low-voltage educational scope. This review does not provide mains wiring, live-work, conductor-sizing, protection-device, or safety-certification instructions.

Electrical uncertainty cluster

Calculate the nominal circuit, then expose what input spread can change

Nominal equations are only the center point. Use component tolerances and measurement uncertainty to inspect a min/base/max operating envelope, then verify real component ratings and datasheets separately.

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Series RLC reactance, phase, resonance & current

Use the R/L/C/frequency inputs above and expose the full series-RLC evidence instead of only |Z|. Compare inductive and capacitive reactance, classify the circuit, compute phase angle and resonance, and estimate RMS current at a chosen supply voltage.

Supply voltage RMS (V)

—|Z|

—Phase

—Resonance f₀

—RMS current

Ready.

Quantity	Value	Relation	Interpretation

This panel assumes an ideal series RLC circuit. ESR, coil resistance beyond the entered R, parasitics and component tolerances can shift resonance and impedance in real hardware.

Match the calculator to the circuit model

Ohm’s law, dividers, RC/RL timing, reactance and battery estimates answer different questions. Keep units and assumptions visible instead of combining unrelated quantities.

Low-voltage educational scope

WebToolArc does not certify wiring, component safety, mains installations or high-energy systems. Use component datasheets and qualified guidance where safety matters.

Governing electrical relation

|Z| = √(R² + (XL−XC)²) · φ = atan2(XL−XC,R) — ideal series RLC at one frequency.

How to cross-check the result

Verify |Z|²=R²+(XL−XC)². At resonance the phase approaches 0° and |Z| approaches R in the ideal series model.

Real-component boundary

At ideal resonance XL = XC and the reactive terms cancel. Component tolerance, temperature, parasitics, datasheet limits, installation rules, and hazardous-energy safety are not inferred by this idealized calculator.