CapacitorQ

class pmrf.models.components.lumped.CapacitorQ(C: Any, Q: Any, *, name: str | None = None, metadata: Any = None)

A 2-port model of a series capacitor with a finite Quality Factor (Q).

Mathematical Formulation

The capacitor’s impedance is \(Z = (1 + j/Q) / (j \omega C)\), so its admittance is

\[Y = \frac{j \omega C}{1 + j/Q},\]

which is finite, with a finite derivative, at C = 0 and at DC. Q is the ratio of reactance to series resistance.

Parameters:

C (Param) – The capacitance in Farads
Q (Param) – The quality factor representing non-ideal losses. Must be positive.

References

Pozar, D. M. (2011). Microwave Engineering (4th ed.), Section 6.1. Wiley.