# LC Resonant Tank Calculator Online

Resonant Frequency(fr) Calculator
Inputs:

Formula Used:
$$f_{r}=\frac{1}{2 \pi \sqrt{L C}}$$

Theoretical Results:

Calculate L or C from fr
Calculate L:
Inputs:

Formula Used:
$$L =\frac{1}{4 \pi^2 f_{r}^2 C}$$

Theoretical Results:

Calculate C:
Inputs:

Formula Used:
$$C =\frac{1}{4 \pi^2 f_{r}^2 L}$$

Theoretical Results:

### LC Parallel Resonant Circuit Calculator

This online LC tank resonant calculator can be used to calculate either the resonant frequency given the capacitor and inductor value, calculate the capacitor value given the resonant frequency and inductor or calculate the inductor value given the resonant frequency and capacitor value. This calculator can be used for making LC oscillator, tuners, bandpass filter or frequency mixers. Oscillator and bandpass filter can be used in RF and others. LC parallel resonant circuit are also used as current amplification circuits. Series resonant circuit provides voltage amplification.

The resonant frequency of parallel LC resonant circuit is given by,
$$f_r = \frac{1}{2 \pi \sqrt{LC}}$$
This equation is derived with the fact that at the resonant frequency the inductive reactance($$X_L$$) is equal to the capacitor reactance($$X_C$$). That is we have,
$$X_L = X_C$$
or, $$2 \pi f_r L = \frac{1}{2 \pi f_r C}$$
rearranging we get,
$$f_r = \frac{1}{2 \pi \sqrt{LC}}$$

Below are some tutorials where the LC parallel resonant circuit calculator can be used.