LC Resonance Calculator

An LC circuit is otherwise called as resonant circuit. It is an electrical circuit used for generating signals or picking out the signals at a particular frequency. RLC circuit comprises of resistor (R), inductor (L), & capacitor (C), connected in series or parallel. It reduces the peak resonant frequency. Find resonance frequency using RLC Circuit Frequency Calculator. You can also find bandwidth, damping & quality factor using this LC resonance calculator.

RLC Circuit Frequency Calculator

Radians
Radians
dB
dB

An LC circuit is otherwise called as resonant circuit. It is an electrical circuit used for generating signals or picking out the signals at a particular frequency. RLC circuit comprises of resistor (R), inductor (L), & capacitor (C), connected in series or parallel. It reduces the peak resonant frequency. Find resonance frequency using RLC Circuit Frequency Calculator. You can also find bandwidth, damping & quality factor using this LC resonance calculator.

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Formula:

Resonant Frequency = 1 / (2 × π × √(L × C)) Resonance Frequency in Radians = 1 / √( L × C) Series Damping Factor = (R / 2) × √(C / L) Parallel Damping Factor = (1 / (2 × r)) × √ (L / C) Bandwidth in Frequency= R / (2 × π × L) Bandwidth in Radians=L/C Series Attenuation = R/ (2 × L) Parallel Attenuation = 1 / (2 × R × C) Qs = (1 / R) × √ (L / C) Qp = R × (C / L) Where, R = Resistance C = Capacitance L = Inductance Qs = Quality Factor (Series) Qp = Quality Factor (Parallel)

RLC Circuit creates a harmonic oscillator and resonates in a similar way as an LC circuit.

Example:

Find the respective values for a circuit with resistance 12 ohms, inductance 25 H, capcitance 3 F.

Solution:

Resonant Frequency
= 1/ (2 × π × √(25 × 3))
= 0.0184 Hz
Resonant Frequency in Radians
= 1 / √( 25 × 3)
= 0.1155 radians
Series Damping Factor
= (12 / 2) × √(3 / 25)
= 2.0785
Parallel Damping Factor
= (1 / (2 × 12)) × √ (25 / 3)
= 0.1203
Bandwidth in Frequency
= 12 / (2 × π × 25)
= 0.0764 Hz
Bandwidth in Radians
=25/3
=8.3333 Radians
Series Attenuation
= 12/ (2 × 25)
= 0.24 dB
Parallel Attenuation
= 1 / (2 × 12 ×3 )
= 0.0139
Quality Factor (Series)
= (1 / 12) × √ (25 / 3)
= 0.2406
Quality Factor (Parallel)
= 12 × (3 / 25)
= 1.443

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