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

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## 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?

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

**Next, determine the inductance.**The total inductance of the circuit in this problem is 35 Henries.

**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