An LC oscillator stores energy in an inductor and a capacitor, so the product of L and C sets the normalized frequency-square ledger used by the model. The arithmetic is exact only for the declared ideal inductance and capacitance; real superconducting circuits add parasitic capacitance, stray inductance, loss, fabrication spread, temperature dependence, and calibration uncertainty.

An LC platform mode starts as an exact product and reciprocal. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Inductance times capacitance gives a time square

The inductance is 1 henry and the capacitance is 1 farad, so the product is 1 square second.

1 H⋅1 F=1 s21\ \text{H}\cdot 1\ \text{F}=1\ \text{s}^{2}
LC product ledgerThe mode value is bound to the storage elements.inductance=1 Hcapacitance=1 FlcProduct=1 s^2omegaSquared=1 1/s^2

The checked mode uses frequency square

The normalized mode has frequency square 1 per square second. No square root or microwave frequency is claimed.

ω2=1 s−2\omega^{2}=1\ \text{s}^{-2}
Frequency square sourceThe square value is recomputed at render time.inductance=1 Hcapacitance=1 FlcProduct=1 s^2omegaSquared=1 1/s^2