# LC circuit calculation

In "LC circuit" sheet the Coil32 computes the values of capacitance, inductance, and frequency for a resonance oscillating circuit. The calculation is made by the Thomson's formula, derived in 1853, and which is all we know of the school course of physics:

where:

- f - frequency (Hz);
- L - inductance (H);
- C - capacitance (F);

The program allows you to calculate:

- The resonant frequency of the LC-circuit at a known capacitance and inductance
- The LC-tank capacitance at a known resonant frequency and inductance
- The inductance of an LC-circuit for a known capacitance and the resonant frequency

Such a calculation is also implemented in the online calculator of the LC-circuit.

In the "Coil" sheet for single-layer coils, the program generates additional results for parallel LC-circuit:

- The capacitance at the resonant frequency.
- The characteristic impedance of the circuit:
- The equivalent resistance of the circuit:

By default, these calculations are not displayed. To enable output additional calculations in the output text box you need to click the corresponding button in the toolbar above it.

*Calculations are correct of course for an unloaded circuit.**Q-factor contour of the capacitor is not taken into account.**The self-capacitance of the coil is not taken into account, so these calculations are meaningful at frequencies much smaller than the self-resonance frequency of the coil.*