IEVref: | 561-01-66 | ID: | |

Language: | en | Status: Standard | |

Term: | parallel resonance frequency | ||

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Symbol: | f_{p}
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Definition: | frequency where the admittance value of a lossless resonator becomes zero Note 1 to entry: When the electromechanical coupling factor is low, an approximate value of the frequency is given by the expression $f}_{\text{p}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}=\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\frac{1}{2\pi \text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\sqrt{{L}_{1}\frac{{C}_{1}{C}_{0}}{{C}_{1}+{C}_{0}}}$ where X
Note 2 to entry: This entry was numbered 561-02-11 in IEC 60050-561:1991. | ||

Publication date: | 2014-11 | ||

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Note 1 to entry: When the electromechanical coupling factor is low, an approximate value of the frequency is given by the expression

$f}_{\text{p}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}=\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\frac{1}{2\pi \text{\hspace{0.05em}}\text{\hspace{0.05em}}\text{\hspace{0.05em}}\sqrt{{L}_{1}\frac{{C}_{1}{C}_{0}}{{C}_{1}+{C}_{0}}}$

where *C*_{0} represents the shunt capacitance and *L*_{1} and *C*_{1} the motional inductance and the motional capacitance respectively. The expression can be derived from Figure 2 by letting *R*_{1} = 0.

**Figure 2 – Equivalent circuit of a piezoelectric vibrator (one-port resonator)**

Note 2 to entry: This entry was numbered 561-02-11 in IEC 60050-561:1991.

561-fig2-en.png |