IGNOU MPH 5 2026 - Draw and explain the equivalent LCR resonant circuit of an oscil

Question

Draw and explain the equivalent LCR resonant circuit of an oscillating crystal. A crystal has $C = 0.04 \text{ pF}, L = 1 \text{ H}$ and $R = 2\text{ k}\Omega$ . Calculate its series resonant frequency. What is the effect of the crystal thickness on its frequency?

19 Jan 2026

Answer :

Word Count : 257

The equivalent circuit of an oscillating crystal is represented by a series LCR branch in parallel with a capacitance (C_0) which accounts for the holder capacitance. The series branch consists of: * (L): Motional inductance representing the inertia of the crystal. * (C): Motional capacitance representing the elasticity of the crystal. * (R): Motional resistance representing the energy loss in the crystal.

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