LC circuit calculation
In "LC circuit" sheet the Coil64 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 a LC-circuit for a known capacitance and the resonant frequency;
- The inductance and capacitance of a LC-circuit for a known characteristic impedance;
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 displayed. To disable 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.
