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Oscillators Questions and Answers

91.

An LC tank of quality factor \( 150 \), resonant at \( 5 \ \mathrm{MHz} \), passes a band of roughly

Answer: B

Bandwidth is the resonant frequency over the quality factor:

\[ B = \frac{5 \times 10^{6}}{150} \approx 33 \ \mathrm{kHz} \]

giving about 33 kHz, against 250 Hz for a crystal of the same frequency with a quality factor of twenty thousand. Setting the two side by side is the quickest way to feel why crystal control displaced LC control wherever accuracy mattered.

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Answer: C

A circuit that never starts almost always has a loop gain below one, whether from a wrong feedback fraction, a device with less gain than assumed, or a tank whose losses are higher than designed. Decoupling, buffering and temperature coefficient affect stability and purity rather than starting. Since starting requires the gain condition to be exceeded and running requires only that it be met, a non-starting oscillator is a gain problem until proved otherwise.

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Answer: D

Too much loop gain drives the amplitude up until the device clips against the supply rails, and the flattened waveform carries strong harmonics. A loop gain below unity would prevent starting altogether, and a high quality factor would clean the output rather than dirty it. The remedy is either less gain or a gentler amplitude control, and which is appropriate depends on whether a clean sine is actually needed.

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Answer: A

A frequency that responds to another circuit's activity points at coupling - either an injected signal pulling the oscillator, or a shared supply impedance modulating it. Ageing acts over months and would not switch on and off, and an amplitude loop problem would show as amplitude variation. Shielding, separate decoupling and a buffer between oscillator and load are the standard remedies, and which one applies depends on whether the coupling is through the air or through the supply.

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Answer: B

A drift over minutes in one direction is thermal: self-heating and the enclosure warming change the reactive components until temperatures stabilise. Amplitude loops settle in a fraction of a second and regulators in milliseconds, and ageing acts over months rather than minutes. The time scale of a symptom identifies its mechanism more reliably than anything else, and ten minutes is unambiguously thermal.

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Answer: C

A spectrum analyser shows the harmonics directly, and their level relative to the fundamental quantifies the distortion. A counter reads frequency regardless of waveform, a voltmeter gives amplitude, and an oscilloscope will show gross clipping but not the fraction of a per cent that matters in a good generator. Choosing the instrument that responds to the quantity in question, rather than the one nearest to hand, is what makes a measurement decisive.

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Answer: D

A Pierce gives crystal accuracy from two capacitors and an inverter, which is why it is built into essentially every microcontroller. A Wien bridge is an audio sine generator, a varactor-tuned Colpitts is for tunable radio work, and a unijunction is a low-accuracy trigger circuit. Matching a topology to an application means naming the specification that matters, and for a digital clock it is accuracy at negligible cost.

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Answer: A

A varactor-tuned Colpitts disciplined by a phase-locked loop gives both the range and, through the loop's crystal reference, the accuracy. A Pierce alone cannot be tuned usefully far, and the RC and multivibrator types are audio-frequency circuits with poor stability. Where two specifications conflict, the usual answer is two components each supplying what the other lacks, disciplined by a loop that combines them.

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Answer: B

A 555 astable costs pennies, needs two resistors and a capacitor, and its per cent accuracy is irrelevant to a flashing light. The other three are precision circuits whose cost and complexity would be entirely wasted. Choosing the cheapest arrangement that meets the actual requirement, rather than the best available, is as much a design skill as reaching for precision when it is genuinely needed.

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Answer: C

A buffer isolates the tank from whatever is connected, so a change in load impedance cannot reflect a reactance back and shift the frequency. Amplitude and filtering may also be wanted but are separate functions, and stabilisation belongs inside the loop. Isolating a frequency-determining circuit from the outside world is the single most effective step towards a stable source, and it costs one stage.

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