1According to the Barkhausen criterion, what is the required condition for the magnitude of the loop gain () to achieve sustained oscillations?
A.
B.
C.
D.
Correct Answer:
Explanation:The Barkhausen criterion states that for sustained continuous oscillations, the magnitude of the loop gain must be exactly equal to 1, i.e., .
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2Which of the following represents the Barkhausen criterion for the total phase shift around the feedback loop?
A.
B.
C.
D.
Correct Answer:
Explanation:For sustained oscillations, the total phase shift around the closed loop must be an integer multiple of (which is equivalent to ), ensuring the feedback is positive.
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3Oscillators generate continuous waveforms by fundamentally employing which type of feedback?
A.Negative feedback
B.Positive feedback
C.No feedback
D.Both positive and negative feedback equally
Correct Answer: Positive feedback
Explanation:Oscillators require positive feedback to maintain sustained oscillations without an external input signal, effectively regenerating the signal continuously.
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4If the loop gain magnitude of an oscillator circuit falls below 1, what happens to the oscillations?
A.They grow exponentially
B.They are sustained at a constant amplitude
C.They progressively decay and die out
D.They become purely sinusoidal
Correct Answer: They progressively decay and die out
Explanation:If , the amount of energy fed back into the system is insufficient to overcome internal circuit losses, causing the oscillations to damp out over time.
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5To reliably initiate oscillations from noise when power is first applied, practical oscillators are designed such that the initial loop gain magnitude is:
A.Slightly less than 1
B.Exactly 1
C.Slightly greater than 1
D.Zero
Correct Answer: Slightly greater than 1
Explanation:To ensure oscillations build up from thermal noise, practical oscillators are designed with initially. Amplitude limiting (non-linearities) eventually reduces the gain so it settles at exactly during steady-state operation.
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6In an RC phase shift oscillator utilizing an inverting amplifier, what is the total phase shift that must be provided by the RC feedback network?
A.
B.
C.
D.
Correct Answer:
Explanation:The inverting amplifier intrinsically provides a phase shift. To satisfy the Barkhausen criterion of , the RC network must provide the remaining phase shift.
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7How many identical RC stages are minimally required in the feedback network of a standard RC phase shift oscillator?
A.1
B.2
C.3
D.4
Correct Answer: 3
Explanation:A single RC stage can practically provide a maximum phase shift of less than . Therefore, a minimum of 3 stages is required, with each stage typically contributing at the resonant frequency.
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8What is the frequency of oscillation () for a 3-stage RC phase shift oscillator constructed with identical resistors () and capacitors ()?
A.
B.
C.
D.
Correct Answer:
Explanation:Mathematical analysis of a standard 3-stage RC network reveals that it achieves exactly phase shift at a frequency of .
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9What is the minimum required magnitude of voltage gain () for the amplifier in a standard 3-stage RC phase shift oscillator to sustain oscillations?
A.1
B.3
C.29
D.1/29
Correct Answer: 29
Explanation:At the frequency where the 3-stage RC network provides phase shift, its attenuation factor () is . Therefore, the amplifier must have a gain of at least 29 to satisfy .
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10RC phase shift oscillators are most commonly preferred for applications in which frequency range?
A.Audio frequencies (AF)
B.Radio frequencies (RF)
C.Microwave frequencies
D.Optical frequencies
Correct Answer: Audio frequencies (AF)
Explanation:At low/audio frequencies, LC oscillators require unfeasibly large and bulky inductors and capacitors. RC oscillators are much more compact and practical for these lower frequency ranges.
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11If the value of every capacitor in an RC phase shift oscillator is doubled, how does the new frequency of oscillation relate to the original frequency ()?
A.
B.
C.
D.
Correct Answer:
Explanation:The oscillation frequency is inversely proportional to capacitance (). Doubling will halve the frequency.
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12What is the formula for the frequency of oscillation () of a Wien-bridge oscillator having equal and components in its series and parallel feedback branches?
A.
B.
C.
D.
Correct Answer:
Explanation:The lead-lag network in a Wien-bridge oscillator becomes purely resistive (zero phase shift) at the resonant frequency .
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13What phase shift is introduced by the lead-lag RC feedback network of a Wien-bridge oscillator exactly at its resonant frequency?
A.
B.
C.
D.
Correct Answer:
Explanation:At resonance, the reactive components of the series and parallel RC arms perfectly balance, resulting in a phase shift through the feedback network.
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14Because the Wien-bridge feedback network provides phase shift at resonance, which type of amplifier must be utilized to satisfy the Barkhausen criterion?
A.Inverting amplifier
B.Non-inverting amplifier
C.Differential amplifier
D.Summing amplifier
Correct Answer: Non-inverting amplifier
Explanation:The total loop phase shift must be (or ). Since the feedback network contributes , the amplifier must also contribute , which is characteristic of a non-inverting amplifier.
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15What is the attenuation factor () of the feedback network in a standard Wien-bridge oscillator at the resonant frequency?
A.1
B.1/3
C.1/29
D.3
Correct Answer: 1/3
Explanation:At resonance, the impedance of the parallel RC branch is half the impedance of the series RC branch, making the voltage output exactly one-third of the input to the network ().
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16Based on the standard attenuation factor, what is the minimum required voltage gain of the amplifier in a Wien-bridge oscillator?
A.1
B.3
C.29
D.1/3
Correct Answer: 3
Explanation:Since the feedback network attenuates the signal by a factor of 1/3, the non-inverting amplifier must provide a minimum voltage gain of 3 to ensure .
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17Which component is historically employed in the feedback loop of a Wien-bridge oscillator to provide automatic amplitude stabilization?
A.A thermistor or an incandescent lamp
B.A large inductor
C.A Zener diode in reverse breakdown
D.A high-power BJT
Correct Answer: A thermistor or an incandescent lamp
Explanation:A non-linear resistive element, such as a tungsten lamp (PTC) or thermistor (NTC), alters its resistance with temperature (current) to dynamically adjust the amplifier gain, keeping the output amplitude stable and undistorted.
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18The resonant feedback circuit (tank circuit) of a Hartley oscillator is characterized by having:
A.Two capacitors and one inductor
B.Two inductors and one capacitor
C.Three capacitors
D.Three inductors
Correct Answer: Two inductors and one capacitor
Explanation:The Hartley oscillator tank circuit utilizes a tapped inductor (effectively two inductors in series, and ) placed in parallel with a single tuning capacitor ().
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19Assuming no mutual inductance, what is the equivalent inductance () of the tank circuit in a Hartley oscillator?
A.
B.
C.
D.
Correct Answer:
Explanation:The two sections of the tapped inductor ( and ) are connected in series with respect to the circulating tank current, so their equivalent inductance is the sum: .
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20What is the general expression for the frequency of oscillation of a Hartley oscillator (neglecting mutual inductance)?
A.
B.
C.
D.
Correct Answer:
Explanation:The resonant frequency of the LC tank is . Substituting gives the frequency of the Hartley oscillator.
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21If mutual inductance () exists between the two coil sections in a Hartley oscillator, the equivalent inductance () becomes:
A.
B.
C.
D.
Correct Answer:
Explanation:Because the two sections are typically wound on the same core in a series-aiding configuration, their mutual inductance adds to the total inductance: .
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22Hartley and Colpitts oscillators are most suitable for generating signals in which frequency range?
A.Generating 50 Hz AC mains signals
B.Generating extremely low frequency (ELF) signals
C.Generating high frequency (RF) signals
D.DC voltage generation
Correct Answer: Generating high frequency (RF) signals
Explanation:LC oscillators are ideal for Radio Frequency (RF) applications because the required values for inductors and capacitors become physically small and highly practical at high frequencies.
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23The resonant feedback circuit (tank circuit) of a Colpitts oscillator is composed of:
A.Two inductors and one capacitor
B.Two capacitors and one inductor
C.One resistor and two capacitors
D.Three inductors
Correct Answer: Two capacitors and one inductor
Explanation:A Colpitts oscillator employs a capacitive voltage divider in its tank circuit, effectively using two capacitors in series across a single inductor.
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24What is the equivalent capacitance () of the tank circuit in a Colpitts oscillator?
A.
B.
C.
D.
Correct Answer:
Explanation:The two capacitors and act in series with respect to the inductor, so their equivalent capacitance is calculated using the series capacitor formula: .
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25What is the primary advantage of a Colpitts oscillator over a Hartley oscillator?
A.It is easier to tune using a single variable component
B.It provides better frequency stability at high frequencies
C.It requires no capacitors
D.It operates at lower frequencies
Correct Answer: It provides better frequency stability at high frequencies
Explanation:The Colpitts oscillator uses capacitors for its voltage divider, which provides a lower impedance path at high frequencies, effectively swamping out stray device capacitances and offering better frequency stability.
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26In a common-emitter Colpitts oscillator, what is the phase shift provided by the LC tank circuit?
A.
B.
C.
D.
Correct Answer:
Explanation:The common-emitter transistor amplifier provides a phase inversion. The tapped-capacitor LC network provides an additional phase shift to meet the Barkhausen criterion.
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27Which modification to the Colpitts oscillator improves its frequency stability by adding a third capacitor in series with the inductor?
A.Hartley Oscillator
B.Clapp Oscillator
C.Wien-bridge Oscillator
D.Phase Shift Oscillator
Correct Answer: Clapp Oscillator
Explanation:The Clapp oscillator is a refinement of the Colpitts oscillator. It adds a third capacitor in series with the inductor, minimizing the effect of transistor junction capacitances on the oscillation frequency.
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28The internal voltage divider of a standard 555 timer IC consists of:
A.Three resistors
B.Three resistors
C.Two resistors
D.Four resistors
Correct Answer: Three resistors
Explanation:The 555 timer IC gets its iconic name from the three internal resistors connected in series to establish internal reference voltages.
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29In a 555 timer, the threshold comparator triggers when the voltage at Pin 6 exceeds what internal reference voltage?
A.
B.
C.
D.
Correct Answer:
Explanation:The upper reference voltage provided by the internal resistor string is . The threshold comparator evaluates Pin 6 against this value.
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30In a 555 timer, the trigger comparator sets the internal flip-flop when the voltage at Pin 2 drops below what reference level?
A.
B.
C.
D.Ground
Correct Answer:
Explanation:The lower reference voltage is . When the external trigger voltage on Pin 2 falls below this level, the comparator triggers the timing cycle.
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31Pin 7 of the 555 timer is known as the Discharge pin. It is internally connected to the collector of which type of transistor?
A.PNP BJT
B.N-channel MOSFET
C.NPN BJT
D.JFET
Correct Answer: NPN BJT
Explanation:Pin 7 is connected to the collector of an internal NPN bipolar junction transistor, which turns on to discharge the external timing capacitor to ground.
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32Which pin of the 555 timer can be used to alter the upper reference voltage, and is typically bypassed to ground with a capacitor to prevent noise?
A.Pin 2 (Trigger)
B.Pin 4 (Reset)
C.Pin 5 (Control Voltage)
D.Pin 8 ()
Correct Answer: Pin 5 (Control Voltage)
Explanation:Pin 5 provides direct access to the node. It is often bypassed to ground to prevent noise interference, or driven by an external voltage to modulate the timing cycle.
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33How many stable states does a monostable multivibrator possess?
A.Zero
B.One
C.Two
D.Three
Correct Answer: One
Explanation:A monostable multivibrator, or "one-shot", has exactly one stable state. It remains in this state until triggered, temporarily switches to a quasi-stable state, and then returns to the stable state.
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34An astable multivibrator is also commonly referred to as a:
A.One-shot multivibrator
B.Flip-flop
C.Free-running oscillator
D.Schmitt trigger
Correct Answer: Free-running oscillator
Explanation:An astable multivibrator lacks any stable states and continuously transitions between two quasi-stable states without external triggering, thereby acting as a free-running oscillator.
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35What is the approximate formula for the output pulse width () of a 555 timer configured as a monostable multivibrator, using resistor and capacitor ?
A.
B.
C.
D.
Correct Answer:
Explanation:In monostable mode, the capacitor charges from 0 to . The formula for this time is .
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36What is the approximate frequency of oscillation () for a 555 timer configured as a standard astable multivibrator with resistors , , and capacitor ?
A.
B.
C.
D.
Correct Answer:
Explanation:The total period is . The frequency is the reciprocal of the period, .
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37In a standard 555 astable multivibrator configuration, the duty cycle of the output square wave is always:
A.Exactly 50%
B.Less than 50%
C.Greater than 50%
D.100%
Correct Answer: Greater than 50%
Explanation:The charge time depends on while the discharge time depends only on . Thus, the charging time (output HIGH) is always strictly longer than the discharging time (output LOW), resulting in a duty cycle .
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38How can a standard 555 astable multivibrator be modified to achieve exactly a duty cycle?
A.By removing
B.By adding a diode in parallel with
C.By connecting Pin 5 to ground directly
D.By using a larger value for
Correct Answer: By adding a diode in parallel with
Explanation:Placing a diode across allows the charging current to bypass . If , both the charging time (via ) and discharging time (via ) become equal, yielding a 50% duty cycle.
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39What is the primary defining function of a Voltage-Controlled Oscillator (VCO)?
A.An oscillator that generates a constant frequency output
B.An oscillator whose output amplitude is controlled by an input voltage
C.An oscillator whose output frequency is determined by a DC control voltage
D.A voltage regulator that produces oscillations
Correct Answer: An oscillator whose output frequency is determined by a DC control voltage
Explanation:A VCO is an electronic oscillator whose oscillation frequency is an output that varies proportionally in response to an applied input control voltage.
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40Which of the following ICs is a widely used dedicated Voltage-Controlled Oscillator (VCO) capable of generating highly linear square and triangular waves?
A.IC 555
B.IC 741
C.IC 566
D.IC 3140
Correct Answer: IC 566
Explanation:The NE566 / LM566 is a classic monolithic VCO integrated circuit designed to simultaneously output highly linear triangular and square waves.
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41In an ideal Voltage-Controlled Oscillator, the relationship between the applied control voltage () and the output frequency () is designed to be:
A.Logarithmic
B.Linear
C.Exponential
D.Inversely proportional squared
Correct Answer: Linear
Explanation:An ideal VCO features a linear tuning characteristic, meaning a change in the control voltage produces a directly proportional change in the output frequency.
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42The conversion gain or sensitivity () of a Voltage-Controlled Oscillator is typically measured in:
A.Volts per Hertz (V/Hz)
B.Hertz per Volt (Hz/V)
C.Radians per second
D.Degrees per Volt
Correct Answer: Hertz per Volt (Hz/V)
Explanation:VCO sensitivity quantifies how much the frequency shifts per unit of input voltage, expressed in Hertz per Volt (Hz/V) or radians per second per Volt.
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43When utilizing a 555 timer IC as a rudimentary VCO, the external modulating control voltage is applied to which pin?
A.Pin 2
B.Pin 4
C.Pin 5
D.Pin 7
Correct Answer: Pin 5
Explanation:Applying a voltage to Pin 5 (Control Voltage) overrides the internal reference, altering the capacitor's charging thresholds and effectively changing the oscillation frequency.
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44What type of underlying oscillator topology does the IC 566 VCO use to generate its waveforms?
A.LC tank oscillator
B.Relaxation oscillator
C.Crystal oscillator
D.Phase shift oscillator
Correct Answer: Relaxation oscillator
Explanation:The IC 566 operates by repeatedly charging and discharging an external capacitor with a voltage-controlled current source, which is the defining characteristic of a relaxation oscillator.
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45What are the three essential building blocks of a Phase-Locked Loop (PLL)?
A.Phase detector, low-pass filter, and VCO
B.Phase detector, high-pass filter, and VCO
C.Voltage comparator, integrator, and differentiator
D.Multiplier, envelope detector, and Schmitt trigger
Correct Answer: Phase detector, low-pass filter, and VCO
Explanation:A PLL achieves phase synchronization using a feedback loop comprised of a phase detector (to measure phase error), a low-pass loop filter, and a Voltage-Controlled Oscillator (VCO).
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46In a Phase-Locked Loop (PLL), the phase detector compares the phase of the external input signal against the phase of the signal produced by the:
A.Low-pass filter
B.External reference clock
C.VCO
D.Error amplifier
Correct Answer: VCO
Explanation:The phase detector takes two inputs: the incoming reference signal and the output signal from the internal VCO, generating an error voltage proportional to their phase difference.
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47What is the primary function of the low-pass filter within a Phase-Locked Loop (PLL)?
A.To amplify the input signal
B.To convert the input frequency to a DC voltage
C.To remove high-frequency noise from the phase detector output and determine loop dynamics
D.To shift the phase of the VCO output by
Correct Answer: To remove high-frequency noise from the phase detector output and determine loop dynamics
Explanation:The low-pass filter smooths out the high-frequency alternating components from the phase detector to create a stable DC control voltage for the VCO, while also dictating the PLL's capture range and transient response.
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48The range of frequencies over which a PLL can maintain synchronism (lock) with an input signal after it has been initially locked is called the:
A.Capture range
B.Lock range
C.Free-running range
D.Pull-in range
Correct Answer: Lock range
Explanation:The Lock Range (or tracking range) is the frequency span within which a PLL can maintain its locked state. It is generally determined by the maximum frequency swing of the VCO.
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49The range of input frequencies over which an unlocked PLL can successfully acquire lock with an incoming signal is known as the:
A.Capture range
B.Lock range
C.Holding range
D.Bandwidth
Correct Answer: Capture range
Explanation:The Capture Range is the specific band of frequencies near the VCO's free-running frequency in which the PLL can establish a lock from an initially unlocked state.
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50How does the Capture Range () of a Phase-Locked Loop generally compare to its Lock Range ()?
A.
B. always
C.
D.They are completely unrelated
Correct Answer:
Explanation:The capture range can never exceed the lock range. A PLL can only acquire lock within a subset (or at most the entirety) of the frequency range it is capable of tracking once locked.