This calculator determines the series resonance frequency (Fs), parallel resonance frequency (Fp) and quality factor (Q) of a quartz crystal oscillator from its equivalent circuit parameters. It helps in analyzing and designing precise oscillator circuits used in electronic and RF systems.
Formulas
Fs = 1 / (2 × π × √(Ls × Cs))
Fp = 1 / (2 × π × √(Ls × ((Cs × Cp) / (Cs + Cp))))
Q = (2 × π × Fs × Ls) / Rs
Explanation of formulas
The frequencies Fs and Fp represent the series and parallel resonance points of the crystal, respectively. Series frequency occurs when the inductance and capacitance of the crystal compensate for each other, while parallel frequency includes the effect of parallel capacitance (Cp). The Q factor indicates the purity of the resonance, the higher it is, the more stable and precise the signal.
Uses of the calculator
- Analysis and design of quartz oscillators.
- Evaluating the stability and frequency purity of a crystal.
- Optimization of clock circuits, filters and RF oscillators.
- Useful tool for electronic engineers and frequency design technicians.