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
Code to add this calci to your website Expand embed code Minimize embed code

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

english Calculators and Converters

Ask a Question