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Series RLC Resonance and LC Filter Calculator — result sheet
Calculate the ideal resonant frequency, characteristic impedance, quality factor, bandwidth, and resonant current of a series RLC network.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: f₀ = 1/(2π√(LC)); Z₀ = √(L/C); Q = Z₀/R; bandwidth = f₀/Q; at ideal series resonance, current = V/R.
A series RLC network has equal and opposite inductive and capacitive reactance at its resonant frequency. This page reports the ideal resonance quantities and keeps series resistance explicit, so the quality factor and bandwidth do not appear from nowhere. It does not model parasitic capacitance, inductor losses that vary with frequency, source impedance, filter topology, loading, damping outside the entered resistance, or a real frequency response plot.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Inductance — mH; minimum 1.0E-6; maximum 1000000
- Capacitance — µF; minimum 1.0E-6; maximum 1000000
- Series resistance — Ω; minimum 1.0E-6; maximum 1000000
- Source voltage at resonance — V; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Inductance | 10 |
| Capacitance | 1 |
| Series resistance | 4 |
| Source voltage at resonance | 5 |
The ideal resonance is about 1,591.55 Hz, characteristic impedance 100 Ω, Q 25, bandwidth about 63.66 Hz, and series current 1.25 A at 5 V RMS.
Assumptions and limits
- Inductance and capacitance are positive finite values converted from mH and µF to SI units.
- The entered resistance is a lumped series resistance and is positive.
- The network is treated as a linear series RLC model near its ideal resonance.
- The source voltage is the RMS magnitude applied at resonance for the current estimate.
- Parasitic losses, component tolerance, saturation, self-resonance, source impedance, and load interaction are excluded.
- The bandwidth output uses the simple series relation R/(2πL), suitable for the stated ideal model.
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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