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Published: 18 April 2015

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LC circuit calculation
In "LC circuit" sheet the Coil32 computes the values of capacitance, inductance and frequency for resonant oscillatory circuit. The calculation is made by the Thomson's formula, derived in 1853, and which is all we know from 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 LCcircuit at a known capacitance and inductance
 The LCtank capacitance at a known resonant frequency and inductance
 The inductance of a LCcircuit for a known capacitance and the resonant frequency
Such a calculation is also implemented in the online calculator of the LCcircuit.
In the "Coil" sheet for singlelayer coils, the program generates additional results for parallel LCcircuit:
 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.
Qfactor contour of the capacitor is not taken into account.
The selfcapacitance of the coil is not taken into account, so these calculations are meaningful at frequencies much smaller than the selfresonance frequency of the coil.