An RLC circuit combines a resistor, an inductor, and a capacitor. At a specific "resonant frequency," the inductive and capacitive reactances cancel each other out, allowing maximum current to flow. This configuration acts as a Band-Pass filter, passing frequencies near resonance while attenuating others.
Circuit Schematic
Interactive Diagram
Adjust Values
Component Controls
Controls the bandwidth and Q-factor (damping)
Stores energy in magnetic field, opposes current change
Stores energy in electric field, blocks DC
Quick Presets
Calculated Values
System Properties
Bode Plot
Magnitude Response
Peakgain occurs at resonance. Bandwidth is the width at -3dB.
Bode Plot
Phase Response
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Circuit Behavior
At Resonance (f₀)
Inductive and capacitive reactances are equal and opposite (XL = XC), canceling each other out. The impedance is purely resistive (Z = R), resulting in maximum current and unity gain (0dB).
Quality Factor (Q)
Q determines the "sharpness" of the resonance. A high Q means a narrow bandwidth and high selectivity. Decreasing resistance increases Q.
Below Resonance (f < f₀)
The capacitor's impedance (XC) dominates. The circuit behaves capacitatively, blocking low frequencies with a positive phase shift approaching +90°.
Above Resonance (f > f₀)
The inductor's impedance (XL) dominates. The circuit behaves inductively, blocking high frequencies with a negative phase shift approaching -90°.