// multi-utility computation suite · offline · instant · precise
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eng.rlc-series-resonance Calculator
Calculates the resonant frequency, Q factor, bandwidth, and impedance at resonance for an RLC series or parallel circuit. Q factor determines the bandwidth (f₀/Q) — a high-Q resonant circuit has a very narrow bandwidth, useful for tuned filters and oscillators.
Inputs
Resistance Ohm
Opposition to current flow (Ω). V = IR. Resistors in series add; in parallel their reciprocals add.
Inductance Mh
Opposition to changing current (H). Inductors store energy in a magnetic field and cause voltage spikes when current is interrupted.
Capacitance Uf
Ability to store electric charge (F). Capacitors charge quickly and release energy fast. Common values: pF to μF.
Results
resonant frequency f₀ (Hz)
Frequency at which the LC circuit naturally oscillates, with energy alternating between inductor and capacitor. F = 1/(2π√LC). Used in radio tuners and oscillators.
quality factor Q
A qualitative assessment of how the result compares to the desired standard or benchmark.
bandwidth BW (Hz)
The computed width.
minimum impedance Z_min (Ω)
Total opposition to AC current (Ω), combining resistance and reactance. Z = √(R² + X²). Maximum power transfer occurs when source and load impedances match.
f₀ = 1/(2π√LC)
Reference formula or conversion factor shown for context.
Q > 10
Reference formula or conversion factor shown for context.