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a high q-quartz crystal exhibits series resonance at the frequency ws and parallel resonance at wp, then(a)ws is very close but less than wp(b)ws<(c)ws is very close, but greater than wp(d)ws >> wp

Question

a high q-quartz crystal exhibits series resonance at the frequency ws and parallel resonance at wp, then(a)ws is very close but less than wp(b)ws<(c)ws is very close, but greater than wp(d)ws >> wp

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Solution

The correct answer is (a) ws is very close but less than wp.

Here's why:

In a quartz crystal, the series resonance frequency (ws) is the frequency at which the crystal appears as a pure resistance in series with the inductance and capacitance. This is the frequency at which the crystal is most efficient at oscillating and is typically the frequency at which the crystal is used in a circuit.

The parallel resonance frequency (wp) is the frequency at which the crystal appears as a pure resistance in parallel with the inductance and capacitance. This frequency is typically higher than the series resonance frequency.

Therefore, the series resonance frequency (ws) is very close but less than the parallel resonance frequency (wp).

This problem has been solved

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