RLC Resonance Calculator

Calculate Resonant Frequency (f0), Bandwidth (BW), & Quality Factor (Q)

⚡ Resistance (R) Ω

🌀 Inductance (L) mH

🔋 Capacitance (C) µF

💡 Formulas: f0 = 1 / (2π√(LC)) | BW = R / L | Q = f0 / BW

f0 = 1 / (2π√(LC)) | Q = f0 × L / R

📖 RLC Resonance Calculator

Resonance occurs in an RLC circuit when the inductive reactance equals the capacitive reactance, resulting in maximum current flow. The resonant frequency (f0) is determined by the inductance (L) and capacitance (C). This calculator computes the resonant frequency, bandwidth (BW), quality factor (Q), and cutoff frequencies. Essential for filter design, tuned circuits, and oscillator circuits.

📐 RLC Resonance Formulas

Resonant Frequency: f0 = 1 / (2π × √(L × C)) (Hz)
Bandwidth: BW = R / (2π × L) (Hz)
Quality Factor: Q = f0 / BW = (1/R) × √(L/C)
Cutoff Frequencies: f1 = f0 - BW/2 f2 = f0 + BW/2

📊 RLC Resonance Reference

R (Ω)	L (mH)	C (µF)	f0 (Hz)	BW (Hz)	Q
10	1	0.1	15915	1591	10.0
100	10	1	1591	1591	1.0
1000	100	10	159	1591	0.1
50	5	0.5	3183	1591	2.0

📌 Quality Factor (Q) Interpretation

Q > 10: High Q circuit - narrow bandwidth, sharp resonance
Q = 1-10: Medium Q circuit - moderate bandwidth
Q < 1: Low Q circuit - wide bandwidth, dull resonance

💡 Applications of RLC Resonance

Radio Tuners: Selecting specific radio stations
Bandpass Filters: Allowing only a specific frequency range
Oscillators: Generating stable sine waves
Induction Heating: Using resonance for efficient power transfer
Wireless Power Transfer: Resonant inductive coupling

❓ Frequently Asked Questions

What is resonant frequency in an RLC circuit? ▼

Resonant frequency (f0) is the frequency at which inductive reactance equals capacitive reactance, resulting in maximum current. f0 = 1 / (2π × √(L × C)).

What is bandwidth in an RLC circuit? ▼

Bandwidth (BW) is the range of frequencies between the two cutoff frequencies where output is at least 70.7% of the peak output. BW = R / (2π × L).

What is quality factor (Q) in an RLC circuit? ▼

Quality factor (Q) measures how sharp the resonance is. Q = f0 / BW = (1/R) × √(L/C). Higher Q means narrower bandwidth.

What happens at resonance in a series RLC circuit? ▼

At resonance, impedance is minimum (equal to R), current is maximum, and voltage across L and C are equal and opposite.