LC Oscillators

LC Product Fixes Frequency Square

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