LCR Resonance Calculator

This calculator determines the resonant frequency, angular frequency, reactance, quality factor (Q), bandwidth (BW), and half-power cutoff frequencies ($f_1$ and $f_2$) for both series and parallel LCR/RLC circuits based on resistance (R), inductance (L), and capacitance (C).

Formulas

Resonant Frequency (f₀): f₀ = 1 2π √LC [Hz]

Reactance at Resonance (X₀): X_L = ω₀L, X_C = 1 ω₀C (at resonance X_L = X_C = X₀)

Series Resonance Q & BW: Q_s = 1 R √ LC , BW_s = f₀ Q_s

Parallel Resonance Q & BW: Q_p = R √ CL , BW_p = f₀ Q_p

About LCR Resonance

Resonance in LCR circuits occurs when inductive reactance ($X_L$) equals capacitive reactance ($X_C$).
- In a **Series RLC circuit**, the total impedance drops to a minimum (equal to R) at resonance, maximizing the current flow through the circuit.
- In a **Parallel RLC circuit**, the total impedance rises to a maximum at resonance, minimizing the line current drawn from the source.
A higher Q factor corresponds to a narrower bandwidth (sharper peak).

Input Parameters

Calculation Results

Enter parameters and click "Calculate" to show results.

Resistance (R):
Inductance (L):
Capacitance (C):