# 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

Code to add this calci to your website

#### 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)
Q_{s} = (1 / R) × √ (L / C)
Q_{p} = R × (C / L)
**Where,**
R = Resistance
C = Capacitance
L = Inductance
Q_{s} = Quality Factor (Series)
Q_{p} = 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