Question

What is the series resonant frequency of a quartz crystal having the following characteristics? (Enter your answer in kHz ).

Rs=47Ω
Ls=1H
Cs=0.01pF
Cm=10pF
​

Answer 1

The series resonant frequency of the given quartz crystal is approximately 1.592 kHz.

Step-by-step explanation:

The resonant frequency of a series resonant circuit can be calculated using the formula:

fr = 1 / (2π√(LsCs))

Where:

• Ls is the inductance (in Henries)
• Cs is the capacitance (in Farads)

Using the given values of Ls = 1H and Cs = 0.01pF, we can substitute them into the formula to find the resonant frequency:

fr = 1 / (2π√(1H * 0.01pF))

= 1 / (2π√(10-12F))

≈ 1.592 kHz