A band-pass filter passes frequencies between its lower and upper cutoff frequencies.
Incorrect! Try again.
2Which frequencies are passed by a low-pass filter?
Low-pass filter
Easy
A.Frequencies above the cutoff frequency
B.Frequencies below the cutoff frequency
C.Frequencies at the resonant frequency only
D.Frequencies within a narrow middle band
Correct Answer: Frequencies below the cutoff frequency
Explanation:
A low-pass filter passes low frequencies and attenuates frequencies above its cutoff frequency.
Incorrect! Try again.
3What is the main function of a high-pass filter?
High-pass filter
Easy
A.To pass only direct current
B.To reject every alternating signal
C.To pass frequencies above the cutoff frequency
D.To pass frequencies below the cutoff frequency
Correct Answer: To pass frequencies above the cutoff frequency
Explanation:
A high-pass filter passes high-frequency signals and attenuates low-frequency signals.
Incorrect! Try again.
4An operational amplifier is commonly represented as a device with how many signal input terminals?
Operational amplifier abstraction
Easy
A.Three signal input terminals
B.Two signal input terminals
C.Four signal input terminals
D.One signal input terminal
Correct Answer: Two signal input terminals
Explanation:
An op-amp has two signal inputs: an inverting input and a non-inverting input.
Incorrect! Try again.
5What is the ideal input impedance of an operational amplifier?
Device properties of the operational amplifier
Easy
A.Equal to the load
B.One ohm
C.Zero
D.Infinite
Correct Answer: Infinite
Explanation:
An ideal op-amp has infinite input impedance, so no current enters its input terminals.
Incorrect! Try again.
6What is the purpose of negative feedback in a simple op-amp amplifier circuit?
Simple op-amp circuits
Easy
A.To remove the supply voltage
B.To provide stable closed-loop gain
C.To produce unlimited output voltage
D.To eliminate the input signal
Correct Answer: To provide stable closed-loop gain
Explanation:
Negative feedback makes the amplifier gain stable and controllable using external components.
Incorrect! Try again.
7In an ideal inverting op-amp circuit, what is the voltage at the inverting input when the non-inverting input is grounded?
Virtual ground concept
Easy
A.Approximately the full output voltage
B.Approximately
C.Approximately the positive supply voltage
D.Approximately the negative supply voltage
Correct Answer: Approximately
Explanation:
Negative feedback keeps both input voltages nearly equal, so the inverting input behaves as a virtual ground.
Incorrect! Try again.
8What is the voltage gain of an ideal inverting amplifier with input resistance and feedback resistance ?
Inverting op-amp
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The gain is . The negative sign indicates phase inversion.
Incorrect! Try again.
9What is the phase relationship between the input and output of a non-inverting op-amp amplifier?
Non-inverting op-amp
Easy
A.They differ by
B.They are in phase
C.Their phase difference always changes
D.They differ by
Correct Answer: They are in phase
Explanation:
A non-inverting amplifier produces an output with the same polarity and phase as its input.
Incorrect! Try again.
10Which components are normally used in a first-order active high-pass filter?
Active high-pass filter
Easy
A.An op-amp, a resistor, and a capacitor
B.A transformer, a diode, and a fuse
C.A motor, a relay, and an inductor
D.A battery, a switch, and a lamp
Correct Answer: An op-amp, a resistor, and a capacitor
Explanation:
A basic active high-pass filter combines an RC network with an op-amp for filtering and amplification.
Incorrect! Try again.
11An active band-pass filter can be formed by combining which two filtering actions?
Active band-pass filter
Easy
A.Band-stop and all-pass filtering
B.High-pass and high-pass filtering
C.Low-pass and low-pass filtering
D.High-pass and low-pass filtering
Correct Answer: High-pass and low-pass filtering
Explanation:
The high-pass section sets the lower cutoff, while the low-pass section sets the upper cutoff.
Incorrect! Try again.
12What does an active band-stop filter do?
Active band-stop filter
Easy
A.Attenuates a selected band of frequencies
B.Blocks all frequencies above the cutoff
C.Blocks all frequencies below the cutoff
D.Passes only a selected band of frequencies
Correct Answer: Attenuates a selected band of frequencies
Explanation:
A band-stop filter rejects frequencies within a selected range and passes frequencies outside that range.
Incorrect! Try again.
13What is the ideal output impedance of an operational amplifier?
Properties of operational amplifier
Easy
A.Equal to the input impedance
B.Infinite
C.Equal to the feedback resistance
D.Zero
Correct Answer: Zero
Explanation:
An ideal op-amp has zero output impedance, allowing it to drive a load without an internal voltage drop.
Incorrect! Try again.
14What mathematical operation is performed by an op-amp summing amplifier?
Op-amp as an adder
Easy
A.Multiplication of input signals
B.Differentiation of input signals
C.Comparison of input signals
D.Addition of input signals
Correct Answer: Addition of input signals
Explanation:
A summing amplifier combines two or more input voltages to produce an output proportional to their sum.
Incorrect! Try again.
15What output does an op-amp subtractor produce?
Op-amp as a subtractor
Easy
A.A pulse for every input cycle
B.A constant voltage independent of input
C.A voltage proportional to the input sum
D.A voltage proportional to the input difference
Correct Answer: A voltage proportional to the input difference
Explanation:
A subtractor, also called a difference amplifier, produces an output based on the difference between two inputs.
Incorrect! Try again.
16Which property of a capacitor is commonly used in op-amp RC circuits?
Op-amp RC circuits
Easy
A.Its resistance remains infinite at all frequencies
B.Its inductance increases with current
C.Its reactance changes with frequency
D.Its voltage changes without storing charge
Correct Answer: Its reactance changes with frequency
Explanation:
Capacitive reactance is , so an RC circuit responds differently at different frequencies.
Incorrect! Try again.
17What is the output of an ideal op-amp integrator proportional to?
Op-amp integrator
Easy
A.The time derivative of the input
B.The time integral of the input
C.The average supply voltage
D.The square of the input
Correct Answer: The time integral of the input
Explanation:
An op-amp integrator produces an output proportional to the accumulated area under the input signal over time.
Incorrect! Try again.
18How does an ideal op-amp differentiator respond to a constant input voltage?
Op-amp differentiator
Easy
A.It produces a constant negative output
B.It produces a constant positive output
C.It produces zero output
D.It produces a sinusoidal output
Correct Answer: It produces zero output
Explanation:
The derivative of a constant is zero, so an ideal differentiator produces zero output for a constant input.
Incorrect! Try again.
19What does an op-amp comparator do?
Op-amp as a comparator
Easy
A.Adds two input voltages
B.Stores an input voltage
C.Compares two input voltages
D.Converts voltage into resistance
Correct Answer: Compares two input voltages
Explanation:
A comparator switches its output state according to which input voltage is greater.
Incorrect! Try again.
20In an anti-lock braking system, an op-amp comparator can be used to compare a wheel-speed sensor signal with what?
Application of op-amp comparator in anti-lock braking systems
Easy
A.The brake-disc diameter
B.The tire air volume
C.The battery capacity
D.A reference voltage
Correct Answer: A reference voltage
Explanation:
The comparator checks the wheel-speed sensor signal against a reference level to help detect rapid wheel deceleration or possible wheel lock.
Incorrect! Try again.
21A first-order RC low-pass filter has and . What is its approximate cutoff frequency?
Low-pass filter
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The cutoff frequency is . Substitution gives .
Incorrect! Try again.
22A first-order high-pass filter has a cutoff frequency of . What is the approximate magnitude of its voltage gain at ?
High-pass filter
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a first-order high-pass filter, . With , the magnitude is .
Incorrect! Try again.
23A band-pass filter has lower and upper cutoff frequencies of and , respectively. Which input frequency lies within its passband?
Band-pass filter
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
A band-pass filter passes frequencies between its lower and upper cutoff frequencies. Therefore, lies within the passband.
Incorrect! Try again.
24In the ideal op-amp abstraction with negative feedback and linear operation, which relationship is normally used to analyze the circuit?
Operational amplifier abstraction
Medium
A.
B.
C. always
D. always
Correct Answer:
Explanation:
The very large open-loop gain and negative feedback force the differential input voltage to be nearly zero, so .
Incorrect! Try again.
25An op-amp has a slew rate of . What is the highest frequency at which it can reproduce a peak sine wave without slew-rate distortion?
Device properties of the operational amplifier
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Using , the maximum frequency is .
Incorrect! Try again.
26A voltage follower is connected to a source and powered from suitable supply rails. Assuming an ideal op-amp, what are its output voltage and main practical benefit?
Simple op-amp circuits
Medium
A. and voltage amplification
B. and phase inversion
C. and impedance buffering
D. and voltage division
Correct Answer: and impedance buffering
Explanation:
A voltage follower has unity gain, so its output is . Its high input and low output impedances make it useful as a buffer.
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27In an ideal inverting amplifier, the non-inverting input is grounded and negative feedback is present. Why is the inverting input called a virtual ground?
Virtual ground concept
Medium
A.It remains near without a ground connection
B.It supplies the circuit ground current
C.It has infinite voltage relative to ground
D.It is physically shorted to ground
Correct Answer: It remains near without a ground connection
Explanation:
Negative feedback makes , although the inverting terminal is not physically connected to ground.
Incorrect! Try again.
28An ideal inverting amplifier has , , and . What is the output voltage?
Inverting op-amp
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The closed-loop gain is . Thus, .
Incorrect! Try again.
29A non-inverting amplifier must produce from a input. If the resistor from the inverting input to ground is , what feedback resistance is required?
Non-inverting op-amp
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The required gain is . Since , , giving .
Incorrect! Try again.
30A first-order active high-pass filter has a passband gain of and a cutoff frequency of . What is its approximate gain magnitude at the cutoff frequency?
Active high-pass filter
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
At cutoff, a first-order filter has of its passband gain. Therefore, the gain is .
Incorrect! Try again.
31An active band-pass filter has cutoff frequencies of and . What is its approximate center frequency?
Active band-pass filter
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The center frequency is the geometric mean: .
Incorrect! Try again.
32A sensor signal contains unwanted power-line interference while frequencies below and above must be retained. Which filter is most suitable?
Active band-stop filter
Medium
A.A band-pass filter from to
B.A band-stop filter from to
C.A high-pass filter at
D.A low-pass filter at
Correct Answer: A band-stop filter from to
Explanation:
A band-stop filter suppresses frequencies within the selected interval while allowing frequencies below and above it to pass.
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33An op-amp receives the same noise signal at both input terminals. Which property determines how effectively the op-amp rejects this common signal?
Properties of operational amplifier
Medium
A.Input offset voltage
B.Gain-bandwidth product
C.Slew rate
D.Common-mode rejection ratio
Correct Answer: Common-mode rejection ratio
Explanation:
The common-mode rejection ratio, or CMRR, measures the op-amp's ability to reject signals that appear equally at both inputs.
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34An ideal inverting summing amplifier has two input resistors of and a feedback resistor of . If the inputs are and , what is the output?
Op-amp as an adder
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The output is .
Incorrect! Try again.
35A differential amplifier has matched resistor ratios . If is applied to the non-inverting side and to the inverting side, what is the output?
Op-amp as a subtractor
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For matched ratios, . Thus, .
Incorrect! Try again.
36An ideal op-amp integrator has and . A constant input is applied for , starting from zero output. What is the final output?
Op-amp integrator
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For an integrator, . Since , .
Incorrect! Try again.
37An ideal op-amp differentiator has and . If the input increases linearly at , what is the output voltage?
Op-amp differentiator
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
A differentiator gives . Here, and the slope is , so .
Incorrect! Try again.
38A practical op-amp integrator places a resistor in parallel with its feedback capacitor. What is the main purpose of this resistor?
Op-amp RC circuits
Medium
A.To increase high-frequency differentiation
B.To eliminate the input resistance
C.To limit low-frequency and DC gain
D.To increase the output offset voltage
Correct Answer: To limit low-frequency and DC gain
Explanation:
The parallel resistor provides finite feedback at low frequencies and DC, preventing small offsets from driving the op-amp into saturation.
Incorrect! Try again.
39A passive RC low-pass stage attenuates the signal and is affected by the connected load. Which advantage does an op-amp active filter provide in this situation?
Active filter
Medium
A.Voltage gain and impedance isolation
B.Filtering without resistors or capacitors
C.Operation without any power supply
D.Unlimited bandwidth and zero noise
Correct Answer: Voltage gain and impedance isolation
Explanation:
An active filter can provide gain, high input impedance, and low output impedance, reducing loading between the source, filter, and load.
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40In a simplified anti-lock braking system, an op-amp comparator receives a wheel-speed sensor voltage at its non-inverting input and a reference voltage at its inverting input. What happens when the sensor voltage falls below the reference?
Application of op-amp comparator in anti-lock braking systems
Medium
A.The comparator output remains linear and amplifies the voltage difference
B.The comparator output oscillates continuously at the wheel frequency
C.The comparator output switches high to indicate increasing wheel speed
D.The comparator output switches low to indicate possible wheel lock
Correct Answer: The comparator output switches low to indicate possible wheel lock
Explanation:
When , the comparator output switches toward its low saturation level. The controller can use this transition to reduce brake pressure and prevent wheel lock.
Incorrect! Try again.
41A band-pass filter is formed by cascading unloaded first-order high-pass and low-pass sections having cutoff frequencies and . What are the approximate magnitude and phase of the overall transfer function at ?
Band-pass filter
Hard
A. with phase
B. with phase
C. with phase
D. with phase
Correct Answer: with phase
Explanation:
At the geometric center frequency, the two sections have equal magnitude factors of . Their product is , while their opposite phase shifts cancel.
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42A source with resistance drives an RC low-pass filter consisting of in series and to ground. The output is unloaded. What are the DC gain and the cutoff frequency measured from the ideal source voltage?
Low-pass filter
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
At DC the capacitor is open, so no current flows and the gain is unity. The capacitor sees , giving .
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43For a first-order passive high-pass filter with transfer function , determine its magnitude and phase at .
High-pass filter
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
With , . The phase is .
Incorrect! Try again.
44A non-inverting amplifier has and . If the op-amp has a constant finite open-loop gain but is otherwise ideal, what is the closed-loop voltage gain?
Operational amplifier abstraction
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The feedback factor is . Thus .
Incorrect! Try again.
45An op-amp has differential gain and CMRR . Its inputs have and . Assuming the output remains within its linear range, what output voltage is predicted when common-mode gain is included?
Device properties of the operational amplifier
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
corresponds to , so . Therefore, .
Incorrect! Try again.
46A voltage follower uses an op-amp with output swing limits of and output-current limits of . It drives a load connected to ground. Ignoring frequency limitations, what is the largest sinusoidal input peak that can be reproduced without distortion?
Simple op-amp circuits
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The current limit permits at most peak. This is smaller than the output-swing limit.
Incorrect! Try again.
47An inverting amplifier has , , and zero signal input. Both op-amp input bias currents are and flow into the device. The non-inverting input is grounded directly. Neglecting offset voltage, what is the output offset magnitude?
Virtual ground concept
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The inverting node remains near virtual ground, but its bias current must flow through . Hence .
Incorrect! Try again.
48An inverting amplifier has , , and an op-amp gain-bandwidth product of . Using a single-pole op-amp model, what is the approximate signal-gain magnitude at ?
Inverting op-amp
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The noise gain is , so the closed-loop bandwidth is about . At , the gain is .
Incorrect! Try again.
49A non-inverting amplifier has , , and a source resistance of at its non-inverting input. What additional series resistance should be inserted to minimize output offset caused by equal input bias currents?
Non-inverting op-amp
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The inverting input sees . Since the source already contributes , an additional balances the input resistances.
Incorrect! Try again.
50An inverting active high-pass filter uses a series input capacitor , input resistor , and feedback resistor . What are the approximate gain magnitude and phase at its cutoff frequency?
Active high-pass filter
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
At cutoff, the high-pass factor has magnitude and phase . Multiplication by the inverting gain gives magnitude and phase modulo .
Incorrect! Try again.
51An active band-pass filter cascades buffered first-order high-pass and low-pass sections with and . The remaining amplifier stages provide a frequency-independent gain of . What is the output peak amplitude for a peak input at ?
Active band-pass filter
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At , each section has magnitude . Their product is , so the total gain is .
Incorrect! Try again.
52An ideal notch filter has with . Component tolerances shift the actual notch frequency to . What is at the original frequency ?
Active band-stop filter
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Relative to the shifted notch, . Thus .
Incorrect! Try again.
53An inverting summing amplifier has . Inputs , , and are applied through , , and , respectively. What is the output voltage?
Op-amp as an adder
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
.
Incorrect! Try again.
54A differential amplifier has from to the inverting input and in feedback. At the non-inverting input, connects to and connects to ground. For , what output results from the resistor-ratio mismatch?
Op-amp as a subtractor
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The non-inverting voltage is . Therefore, .
Incorrect! Try again.
55A practical inverting integrator has and a feedback network consisting of in parallel with . At , approximately ten times its feedback pole frequency, what are the transfer-function magnitude and principal phase?
Op-amp RC circuits
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
The transfer function is . Its magnitude is , and its principal phase is .
Incorrect! Try again.
56An ideal inverting integrator has , , and initial output . The input is for and then for . What is the final output?
Op-amp integrator
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Since , the first interval changes the output by , taking it to . The second changes it by , giving .
Incorrect! Try again.
57An ideal inverting differentiator has and . For , what output peak and minimum required slew rate are expected?
Op-amp differentiator
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
The output peak is . Its required slew rate is .
Incorrect! Try again.
58A second-order Sallen-Key low-pass filter uses equal resistors and equal capacitors. For this topology, , where is the non-inverting passband gain. Which gain produces a Butterworth response?
Active filter
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
A second-order Butterworth response requires . Solving gives .
Incorrect! Try again.
59An inverting Schmitt comparator applies the input to the inverting terminal. The non-inverting terminal receives , and the op-amp saturates at . Starting at positive saturation, which switching thresholds apply as the input first rises and then falls?
Op-amp as a comparator
Hard
A.It switches low at and high at
B.It switches low at and high at
C.It switches low at and high at
D.It switches low at and high at
Correct Answer: It switches low at and high at
Explanation:
Positive saturation places the reference at , so a rising input switches the output low there. Negative saturation then sets the reference to for the falling transition.
Incorrect! Try again.
60An ABS comparator monitors with . It commands pressure release when and does not reapply pressure until . Starting in the pressure-applied state, successively becomes , , , and . What is the state after each sample?
Application of op-amp comparator in anti-lock braking systems
Hard
The reference level is . The errors are , , , and . Hysteresis causes release at the second sample, holds that state at the third, and reapplies pressure at the fourth.
Incorrect! Try again.
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