Quality resonator of loaded resonator from quality factors

The loaded quality factor of the resonator depends on the own quality factor of the resonator and the quality factor of the external circuit connected to the resonator.

loaded_quality_factor

quality_factor of the loaded resonator.

Symbol:

Q_1

Latex:

\(Q_{1}\)

Dimension:

dimensionless

quality_factor

quality_factor of the resonator without load.

Symbol:

Q_0

Latex:

\(Q_{0}\)

Dimension:

dimensionless

external_circuit_quality_factor

quality_factor of the external circuit.

Symbol:

Q_e

Latex:

\(Q_\text{e}\)

Dimension:

dimensionless

law

1 / Q_1 = 1 / Q_0 + 1 / Q_e

Latex:
\[\frac{1}{Q_{1}} = \frac{1}{Q_{0}} + \frac{1}{Q_\text{e}}\]