. Define the natural frequency of a crystal.
Answers
Natural Frequency
Natural FrequencyThe natural frequency is the rate at which an object vibrates when it is not disturbed by an outside force. Each degree of freedom of an object has its own natural frequency, expressed as ωn (omega subscript n). Frequency (omega) is equal to the speed of vibration divided by the wavelength (lambda), . Other equations to calculate the natural frequency depend upon the vibration system. Natural frequency can be either undamped or damped, depending on whether the system has significant damping. The damped natural frequency is equal to the square root of the collective of one minus the damping ratio squared multiplied by the natural frequency, .
Explanation:
the fundamental resonant mode of a quartz crystal can be modeled as a LCR network shunted by a capacitor .
for crystals operating in a fundamental mode with a 5-MHZ to 30-MHZ frequency range , typical values of the circuit elements are -:
C1:2fF to 20fF
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