Enter the inductance (L) and the capacitance (C) into the LC resonance calculator to determine the resonance (hertz)

## LC Resonance Formula

The following formula is used to calculate the resonance of an LC circuit.

R = 1/ 2* pi * sqrt ( L * C )
• Where R is the resonance (frequency) (hertz)
• L is the inductance (Henries)
• C is the capacitance (farads)

To calculate the LC resonance, multiply one half pi by the square root of the inductance times the capacitance.

## LC Resonance Definition

What is LC resonance? An LC resonance is commonly referred to as the resonant frequency of an LC circuit. An LC circuit is a circuit that has both an inductor and a capacitor.

## Example Problem

How to calculate LC resonance?

1. First, determine the total capacitance.

For this example, the circuit is found to have a total equivalent capacitance of 10 farads.

2. Next, determine the inductance.

The total inductance of the circuit in this problem is 35 Henries.

3. Finally, calculate the LC resonance.

Calculate the LC resonance using the formula above. For this problem, the resonant frequency is found to be 1/(2*3.14159*sqrt(10*35)) = .008507 hertz