1What does the letter 'h' stand for in the h-parameter model of a transistor?
Two Port Devices and the Hybrid model
Easy
A.Hybrid
B.Harmonic
C.Hertz
D.High
Correct Answer: Hybrid
Explanation:
The 'h' stands for hybrid because the parameters have mixed units (ohms, mhos, and dimensionless ratios).
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2How many ports does the standard transistor hybrid model have?
Two Port Devices and the Hybrid model
Easy
A.Four
B.Two
C.One
D.Three
Correct Answer: Two
Explanation:
A transistor is analyzed as a two-port network having an input port and an output port.
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3What is the unit of the input parameter (or ) in the hybrid model?
Two Port Devices and the Hybrid model
Easy
A.Volts
B.Siemens
C.Dimensionless
D.Ohms
Correct Answer: Ohms
Explanation:
The parameter represents the input impedance, which is measured in Ohms.
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4Which two variables are considered as the independent variables in standard h-parameter equations?
Two Port Devices and the Hybrid model
Easy
A.Input current and output current
B.Input voltage and output current
C.Input current and output voltage
D.Input voltage and output voltage
Correct Answer: Input current and output voltage
Explanation:
In h-parameters, input current () and output voltage () are chosen as independent variables to express input voltage () and output current ().
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5Which h-parameter is determined from the slope of the input characteristics while keeping the output voltage constant?
Determination of the h parameters from the characteristics
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The input impedance is calculated as the change in input voltage divided by the change in input current at a constant output voltage.
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6What does the parameter represent in a Common Emitter configuration?
Determination of the h parameters from the characteristics
Easy
A.Input impedance
B.Forward current gain
C.Reverse voltage transfer ratio
D.Output admittance
Correct Answer: Reverse voltage transfer ratio
Explanation:
The parameter is the ratio of the change in input voltage to the change in output voltage, known as the reverse voltage transfer ratio.
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7What is the unit of the output admittance parameter, ?
Determination of the h parameters from the characteristics
Easy
A.Dimensionless
B.Siemens (or Mhos)
C.Ohms
D.Amperes
Correct Answer: Siemens (or Mhos)
Explanation:
represents admittance, which is the reciprocal of impedance and is measured in Siemens or Mhos.
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8The h-parameter equivalent circuit is primarily used for which type of analysis?
Analysis of a Transistor Amplifier circuit using h-parameters
Easy
A.Large-signal, high-frequency
B.DC biasing only
C.Thermal runaway analysis
D.Small-signal, low-frequency
Correct Answer: Small-signal, low-frequency
Explanation:
The hybrid model is a linear approximation used specifically for small-signal, low-frequency AC analysis of transistors.
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9In the h-parameter model for a Common Emitter amplifier, what is commonly known as?
Analysis of a Transistor Amplifier circuit using h-parameters
Easy
A.Forward current gain
B.Input resistance
C.Output conductance
D.Reverse voltage gain
Correct Answer: Forward current gain
Explanation:
represents the short-circuit forward current gain in a common emitter configuration.
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10In the standard h-parameter equivalent circuit, the dependent current source is represented by which expression?
Analysis of a Transistor Amplifier circuit using h-parameters
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The output side of the hybrid model features a dependent current source driven by the input current, defined as .
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11Which transistor configuration is most widely used because it provides both moderate voltage and moderate current gain?
comparison of Transistor Amplifier configuration
Easy
A.Common Emitter
B.Common Gate
C.Common Base
D.Common Collector
Correct Answer: Common Emitter
Explanation:
The Common Emitter configuration is the most commonly used because it is the only one that provides both significant voltage and current gain, resulting in the highest power gain.
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12Which amplifier configuration offers the lowest input impedance?
comparison of Transistor Amplifier configuration
Easy
A.Emitter Follower
B.Common Base
C.Common Collector
D.Common Emitter
Correct Answer: Common Base
Explanation:
The Common Base configuration typically has a very low input impedance (in the range of a few tens of ohms).
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13Which transistor configuration is also known as an Emitter Follower?
comparison of Transistor Amplifier configuration
Easy
A.Common Collector
B.Common Gate
C.Common Base
D.Common Emitter
Correct Answer: Common Collector
Explanation:
The Common Collector configuration has a voltage gain of approximately 1, meaning the emitter voltage follows the base voltage, hence the name Emitter Follower.
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14What is the typical phase shift between the input and output voltage in a Common Emitter amplifier?
comparison of Transistor Amplifier configuration
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
A Common Emitter amplifier produces an inverted output, which corresponds to a phase shift of relative to the input.
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15What is the primary purpose of cascading transistor amplifier stages?
Cascading Transistor Amplifiers
Easy
A.To increase the bandwidth
B.To increase power dissipation
C.To reduce the input impedance
D.To increase the overall gain
Correct Answer: To increase the overall gain
Explanation:
When a single amplifier stage cannot provide sufficient gain, multiple stages are cascaded (connected in series) to multiply the overall gain.
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16Which type of coupling is most commonly used to block DC components while passing AC signals between cascaded stages?
Cascading Transistor Amplifiers
Easy
A.Opto-coupling
B.Direct coupling
C.Transformer coupling
D.RC (Resistor-Capacitor) coupling
Correct Answer: RC (Resistor-Capacitor) coupling
Explanation:
RC coupling utilizes a capacitor between stages, which blocks DC bias voltages from interfering with adjacent stages while allowing AC signals to pass.
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17What generally happens to the overall bandwidth when multiple identical amplifier stages are cascaded?
Cascading Transistor Amplifiers
Easy
A.The bandwidth becomes infinite.
B.The bandwidth increases.
C.The bandwidth decreases.
D.The bandwidth remains exactly the same.
Correct Answer: The bandwidth decreases.
Explanation:
Cascading multiple identical amplifier stages narrows the overall frequency response, resulting in a reduction of the overall bandwidth.
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18If an n-stage amplifier has individual stage voltage gains of , what is the total overall voltage gain ()?
n-Stage Cascaded Amplifier
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The overall voltage gain (in linear scale) of a cascaded amplifier is the product of the individual voltage gains of all stages.
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19When individual stage gains are expressed in decibels (dB), how is the total overall gain of the n-stage amplifier calculated?
n-Stage Cascaded Amplifier
Easy
A.By summing the individual gains
B.By dividing the individual gains
C.By multiplying the individual gains
D.By taking the average of the individual gains
Correct Answer: By summing the individual gains
Explanation:
Since decibels are a logarithmic scale, multiplication of linear gains translates to the addition of gains when they are expressed in dB.
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20What is the main disadvantage of using direct coupling in an n-stage cascaded amplifier?
n-Stage Cascaded Amplifier
Easy
A.Changes in DC operating points (thermal drift) are amplified through the stages.
B.It results in poor low-frequency response.
C.It cannot amplify low-frequency signals.
D.It requires bulky and expensive capacitors.
Correct Answer: Changes in DC operating points (thermal drift) are amplified through the stages.
Explanation:
In direct coupling, there are no isolation capacitors. Therefore, any shift in the DC bias (e.g., due to temperature variations) in the first stage is directly passed on and amplified by subsequent stages.
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21In a two-port hybrid model of a transistor, the input voltage and output current are expressed as dependent variables. Which of the following sets of equations correctly represents this model?
Two Port Devices and the Hybrid model
Medium
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
In the standard h-parameter model for a two-port network, the independent variables are input current and output voltage . Thus, and are expressed as linear combinations of and .
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22What is the primary reason for preferring hybrid (h) parameters over Z or Y parameters in low-frequency transistor circuit analysis?
Two Port Devices and the Hybrid model
Medium
A.They are easier to measure experimentally because they do not require open-circuiting the input or short-circuiting the output completely.
B.They yield zero phase shift in all transistor configurations.
C.They are completely independent of temperature variations.
D.They only require purely resistive measurements.
Correct Answer: They are easier to measure experimentally because they do not require open-circuiting the input or short-circuiting the output completely.
Explanation:
Transistors are difficult to open-circuit at the input (due to high impedance) or short-circuit at the output without causing instability. Hybrid parameters mix short-circuit and open-circuit tests that are practically feasible for transistors.
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23When determining the h-parameters from the common-emitter (CE) characteristics, how is the parameter mathematically obtained?
Determination of the h parameters from the characteristics
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
is the output admittance. It is defined as the ratio of the change in output current () to the change in output voltage () while keeping the input current () constant.
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24Which portion of the static characteristics of a CE transistor is used to evaluate the reverse voltage transfer ratio, ?
Determination of the h parameters from the characteristics
Medium
A.The horizontal spacing between the output characteristic curves.
B.The slope of the output characteristics.
C.The shift in the input characteristic curve () for a given change in output voltage () at constant .
D.The vertical spacing between the input characteristic curves at constant .
Correct Answer: The shift in the input characteristic curve () for a given change in output voltage () at constant .
Explanation:
is defined as at constant . It is measured by observing how much the input voltage must change to maintain a constant base current when the output voltage changes.
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25For a standard transistor amplifier represented by its exact h-parameter model connected to a load impedance , what is the expression for the current gain ?
Analysis of a Transistor Amplifier circuit using h-parameters
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Applying Kirchhoff's Current Law at the output node yields . Since , substitution gives . Rearranging for yields .
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26If the parameter is assumed to be negligibly small (), what is the approximate input impedance of the amplifier?
Analysis of a Transistor Amplifier circuit using h-parameters
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The exact input impedance is . If is very small and effectively zero, the second term vanishes, leaving .
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27The voltage gain of a transistor amplifier can be expressed in terms of its current gain , input impedance , and load impedance . Which of the following is the correct relationship?
Analysis of a Transistor Amplifier circuit using h-parameters
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Voltage gain is defined as . Since and (ignoring the negative sign for load direction convention in this formulation), the ratio gives .
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28In the derivation of output admittance using h-parameters, what condition is applied to the source voltage ?
Analysis of a Transistor Amplifier circuit using h-parameters
Medium
A. is replaced by the load impedance .
B. is set equal to the output voltage .
C. is set to infinity.
D. is set to zero (source is short-circuited).
Correct Answer: is set to zero (source is short-circuited).
Explanation:
To calculate the output admittance (or output impedance), the independent source at the input ( or ) must be deactivated, meaning is set to zero.
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29Which transistor amplifier configuration provides both high voltage gain and high current gain, making it the most suitable for maximizing power gain?
comparison of Transistor Amplifier configuration
Medium
A.All configurations provide equal power gain.
B.Common Base (CB)
C.Common Collector (CC)
D.Common Emitter (CE)
Correct Answer: Common Emitter (CE)
Explanation:
The Common Emitter (CE) configuration provides a moderately high input impedance, high output impedance, and simultaneously yields both high voltage and current gains, resulting in the highest power gain among the three configurations.
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30An application requires an amplifier stage with very high input impedance and very low output impedance to act as a buffer. Which configuration is best suited for this?
comparison of Transistor Amplifier configuration
Medium
A.Cascaded Common Base (CB-CB)
B.Common Base (CB)
C.Common Emitter (CE)
D.Common Collector (CC)
Correct Answer: Common Collector (CC)
Explanation:
The Common Collector (CC) configuration, also known as an emitter follower, is characterized by high input impedance and low output impedance, making it ideal for impedance matching and buffer applications.
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31Regarding the phase relationship between the input and output signals, which of the following statements is true for low-frequency transistor amplifiers?
comparison of Transistor Amplifier configuration
Medium
A.All three configurations (CE, CB, CC) introduce a phase shift.
B.Only the CE configuration introduces a phase shift, while CB and CC are in-phase.
C.Only the CC configuration introduces a phase shift.
D.Both CE and CB configurations introduce a phase shift.
Correct Answer: Only the CE configuration introduces a phase shift, while CB and CC are in-phase.
Explanation:
In a Common Emitter (CE) amplifier, an increase in input base voltage causes an increase in collector current, which drops the collector voltage, resulting in a 180-degree phase inversion. CB and CC configurations do not invert the signal.
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32When two transistor amplifier stages are cascaded, how does the input impedance of the second stage affect the first stage?
Cascading Transistor Amplifiers
Medium
A.It eliminates the Miller capacitance of the first stage.
B.It acts as the effective load impedance () for the first stage.
C.It acts as a feedback resistor for the first stage.
D.It determines the input impedance of the first stage directly.
Correct Answer: It acts as the effective load impedance () for the first stage.
Explanation:
In a cascaded arrangement, the output of the first stage is connected to the input of the second stage. Therefore, the input impedance of the second stage behaves as the load impedance for the first stage.
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33If two identical CE amplifier stages, each having an unloaded voltage gain of , are cascaded using RC coupling, what can be said about the overall voltage gain ?
Cascading Transistor Amplifiers
Medium
A.
B. due to constructive interference.
C.
D. due to the loading effect of the second stage.
Correct Answer: due to the loading effect of the second stage.
Explanation:
Because the input impedance of the second stage acts as a load on the first stage, the loaded voltage gain of the first stage is lower than its unloaded gain . Thus, the overall gain is less than the product of the individual unloaded gains.
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34Which interstage coupling method in cascaded amplifiers provides the best direct-current (DC) isolation while completely blocking DC bias transfer between stages?
Cascading Transistor Amplifiers
Medium
A.RC coupling
B.Direct coupling
C.Resistance coupling without capacitors
D.Optical coupling
Correct Answer: RC coupling
Explanation:
RC (Resistor-Capacitor) coupling uses a coupling capacitor between stages. This capacitor blocks DC voltages, ensuring that the DC biasing of one stage does not interfere with the next, while allowing the AC signal to pass.
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35For an n-stage cascaded amplifier where each stage has a lower cut-off frequency , what is the approximate overall lower cut-off frequency ?
n-Stage Cascaded Amplifier
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
When identical stages are cascaded, the overall lower cut-off frequency increases. The correct mathematical relationship derived from the bandwidth shrinkage factor is .
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36What is the effect on the upper cut-off frequency () and the overall bandwidth when identical amplifier stages are cascaded?
n-Stage Cascaded Amplifier
Medium
A.Upper cut-off frequency decreases, and bandwidth decreases.
B.Upper cut-off frequency increases, but bandwidth decreases.
C.Upper cut-off frequency increases, and bandwidth increases.
D.Upper cut-off frequency decreases, but bandwidth increases.
Correct Answer: Upper cut-off frequency decreases, and bandwidth decreases.
Explanation:
Cascading multiple stages causes the overall upper cut-off frequency to drop () and the lower cut-off frequency to rise. Consequently, the overall bandwidth shrinks.
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37An amplifier consists of 3 cascaded stages with individual voltage gains of 20 dB, 15 dB, and 10 dB. What is the overall voltage gain of the system in decibels?
n-Stage Cascaded Amplifier
Medium
A.15 dB
B.10 dB
C.3000 dB
D.45 dB
Correct Answer: 45 dB
Explanation:
When gains are expressed in decibels (dB), the overall gain of cascaded stages is simply the algebraic sum of the individual gains in dB. Therefore, dB.
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38In an n-stage RC coupled amplifier, as the number of stages increases significantly, how does the frequency response curve behave around the midband?
n-Stage Cascaded Amplifier
Medium
A.It becomes more peaked and the flat midband region narrows.
B.The midband region shifts to higher frequencies without changing width.
C.It flattens out, expanding the midband region.
D.The frequency response curve becomes completely independent of frequency.
Correct Answer: It becomes more peaked and the flat midband region narrows.
Explanation:
Due to the bandwidth shrinkage effect, as more stages are cascaded ( increases), the lower cut-off frequency increases and the upper cut-off frequency decreases. This causes the flat midband region to narrow, making the response curve appear sharper or more peaked.
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39In a two-stage cascaded amplifier, if the first stage has a current gain of and the second stage has a current gain of , the overall current gain is computed as . What condition is implicitly necessary for in this straightforward multiplication?
Cascading Transistor Amplifiers
Medium
A. must be the short-circuit current gain.
B. must be evaluated with an open-circuit load.
C. must be identical to .
D. must be evaluated considering the input impedance of the second stage as its load.
Correct Answer: must be evaluated considering the input impedance of the second stage as its load.
Explanation:
The gain of the first stage is inherently dependent on its load. For the total current gain to be the product of the individual stage gains, the first stage's gain must be calculated using the input impedance of the second stage as its effective load.
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40What are the dimensions (units) of the h-parameters , , , and respectively?
In the hybrid model: is input impedance (Ohms), is reverse voltage ratio (Dimensionless), is forward current ratio (Dimensionless), and is output admittance (Mhos or Siemens).
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41In a linear two-port network represented by its exact h-parameter matrix, what is the expression for the short-circuit output admittance (i.e., when the input voltage ) in terms of the h-parameters and the determinant ?
Two Port Devices and the Hybrid model
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
To find the output admittance with the input shorted (), we set , which gives . Substituting this into the second port equation yields . The term in parentheses is .
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42Given the exact input impedance of a two-port network , under what condition will the input impedance become strictly independent of the load impedance ?
Two Port Devices and the Hybrid model
Hard
A.When
B.When
C.When and
D.When
Correct Answer: When
Explanation:
For to be independent of , its derivative with respect to must be zero, or intuitively, the term related to must cancel out. Expanding , . If , the numerator becomes , and , making it independent of .
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43A Common-Emitter (CE) transistor is converted to a Common-Base (CB) model. Which of the following represents the exact analytical expression for in terms of CE h-parameters?
Two Port Devices and the Hybrid model
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
By applying Kirchhoff's laws to transform the CE matrix to the CB matrix, the exact reverse voltage gain is determined by the ratio of port parameters. The correct exact derivation without approximations yields .
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44When extracting from the input characteristics (plot of vs. ) for various values of , it is observed that is extremely small. To properly measure this dynamically at low frequencies, which ideal test condition must be enforced?
Determination of the h parameters from the characteristics
Hard
A.An AC voltage source at the input with the output dynamically short-circuited (using a large bypass capacitor).
B.An AC voltage source at the output with the input terminal open-circuited to AC (using a large series inductor or constant current bias).
C.An AC current source at the output with the input terminal short-circuited to AC.
D.An AC current source at the input with the output open-circuited to AC.
Correct Answer: An AC voltage source at the output with the input terminal open-circuited to AC (using a large series inductor or constant current bias).
Explanation:
By definition, . This requires a constant DC base current ( for AC), meaning the input must be AC open-circuited, and an AC variation must be applied at the collector ().
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45Due to high-level injection effects (Webster effect) at very large base currents, how do the graphically determined values of and typically deviate compared to their nominal active region values?
Determination of the h parameters from the characteristics
Hard
A.Both and decrease.
B. increases and decreases.
C.Both and increase.
D. decreases and increases.
Correct Answer: decreases and increases.
Explanation:
At high injection levels, the effective base width and minority carrier distribution change, causing a drop in current gain ( decreases). Additionally, base conductivity modulation increases the slope of the output characteristics, resulting in a higher output admittance ( increases).
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46If the Early voltage of a BJT is considered in the derivation of exact low-frequency h-parameters, what is the approximate analytical relationship linking and in the forward-active region?
Determination of the h parameters from the characteristics
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The parameter represents the internal voltage feedback ratio caused by base-width modulation (the Early effect). It can be analytically shown that , meaning as the Early voltage approaches infinity (ideal BJT), approaches zero.
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47For a Common-Emitter amplifier driven by a source with internal resistance , the exact output admittance is given by . If a small unbypassed emitter resistor is added, how does the effective output admittance change?
Analysis of a Transistor Amplifier circuit using h-parameters
Hard
A.It strictly decreases due to the negative series-current feedback introduced by .
B.It remains completely unchanged as only affects input impedance.
C.It becomes identically zero because is neutralized by .
D.It strictly increases because introduces positive current feedback.
Correct Answer: It strictly decreases due to the negative series-current feedback introduced by .
Explanation:
An unbypassed emitter resistor provides negative series-current feedback. This type of feedback inherently increases the output impedance, which means the output admittance strictly decreases.
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48In a given amplifier analyzed via h-parameters, the current gain . To obtain an overall voltage gain strictly dependent on the ratio of to , and virtually independent of transistor variations, which condition must hold true?
Analysis of a Transistor Amplifier circuit using h-parameters
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
The exact voltage gain is . If , then . Since , for specific networks (like large unbypassed ), making the equivalent output admittance terms dominate makes the gain depend on external resistor ratios rather than intrinsic parameter variations.
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49Consider the exact power gain of an amplifier. Substituting the exact h-parameter expressions for and , which values of maximizes the operating power gain (assuming purely resistive parameters)?
Analysis of a Transistor Amplifier circuit using h-parameters
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
To maximize power gain, the load resistance must be matched to the output resistance of the amplifier. Differentiating the power gain expression with respect to and setting it to zero yields the optimum load resistance .
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50For a CE amplifier, the transducer power gain , which compares power delivered to the load versus power available from the source (with internal resistance ), is maximized when:
Analysis of a Transistor Amplifier circuit using h-parameters
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Transducer gain is maximized under simultaneous conjugate matching at both the input and output. The matched source resistance is , and the matched load resistance is .
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51When comparing the hybrid determinants of the three transistor configurations, we find that , , and follow specific analytical relationships. Which of the following is the correct exact relation for in terms of CE parameters?
comparison of Transistor Amplifier configuration
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Using the transformation identities for CC parameters: , , , and . Calculating gives .
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52Which configuration exhibits a short-circuit current gain () whose magnitude is heavily dependent on temperature fluctuations and operating point, while simultaneously possessing a hybrid determinant ?
comparison of Transistor Amplifier configuration
Hard
A.Common-Base (CB)
B.Both CE and CB
C.Common-Emitter (CE)
D.Common-Collector (CC)
Correct Answer: Common-Collector (CC)
Explanation:
The short-circuit current gain for CC is . Since () is highly sensitive to temperature and operating point, is as well. Furthermore, the hybrid determinant for CC is , which is much greater than 1 (typically 50 to 200). In contrast, is small (e.g., 0.01).
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53A system requires an amplifier stage to drive a highly capacitive load (low impedance at high frequencies) from a high-impedance source. Based on exact h-parameter analysis, why is cascading a CC stage followed by a CB stage physically optimal over a single CE stage?
comparison of Transistor Amplifier configuration
Hard
A.The CC stage acts as a current buffer, and the CB stage provides necessary impedance matching for low-frequency loads only.
B.The CC stage provides voltage gain, and the CB stage provides current gain.
C.Both stages provide phase reversals, resulting in overall positive feedback.
D.The CC stage provides a high input impedance to avoid loading the source, while the CB stage provides a high output impedance to drive the capacitive load.
Correct Answer: The CC stage provides a high input impedance to avoid loading the source, while the CB stage provides a high output impedance to drive the capacitive load.
Explanation:
The Common-Collector (CC) configuration has a high input impedance, making it ideal for high-impedance sources. The Common-Base (CB) configuration has a high output impedance and excellent high-frequency response, making it suitable for driving low-impedance/highly capacitive loads effectively.
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54In a two-stage direct-coupled CE-CE amplifier, the effective load of the first stage is solely the input impedance of the second stage, . If the second stage is subjected to an extreme load such that its output is dynamically short-circuited (), what is the exact voltage gain of the first stage, ?
Cascading Transistor Amplifiers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
If the second stage has a short-circuited output (), its input impedance becomes . This acts as the load for the first stage (). The voltage gain for the first stage is .
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55Consider a Darlington amplifier (CC-CC cascade) formed by two identical transistors with parameters and . Under the assumption that and are negligible, what is the exact synthesized input impedance of the Darlington pair if it is terminated with an emitter resistor ?
Cascading Transistor Amplifiers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For the second stage, (since ). This acts as the emitter load for the first stage. Thus, . Expanding this gives .
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56A Cascode amplifier comprises a CE stage driving a CB stage. If the CE stage has a transconductance and the CB stage has a current gain , what makes the Miller capacitance of the CE stage virtually negligible in this cascade configuration?
Cascading Transistor Amplifiers
Hard
A.The CE stage experiences extreme current feedback from the CB stage, reducing .
B.The CB stage provides a very low input impedance (), resulting in a voltage gain of approximately -1 for the CE stage.
C.The CB stage provides a highly inductive input impedance that cancels the Miller capacitance.
D.The CB stage limits the overall bandwidth, rendering the CE stage's Miller effect mathematically invisible.
Correct Answer: The CB stage provides a very low input impedance (), resulting in a voltage gain of approximately -1 for the CE stage.
Explanation:
The Miller effect multiplies the base-collector capacitance by . In a cascode, the CE stage load is the input impedance of the CB stage, which is very small (). The voltage gain of the CE stage becomes . Hence, the Miller multiplier is just , drastically minimizing the Miller capacitance compared to a standard CE amplifier.
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57In a bootstrapped Darlington pair used to obtain ultra-high input impedance, a feedback capacitor is connected between the emitter of the second transistor and the junction of the biasing resistors. How does bootstrapping mathematically alter the effective parallel bias resistance ?
Cascading Transistor Amplifiers
Hard
A.It maps to , essentially shorting it to ground.
B.It maps to , halving the resistance.
C.It maps to , driving the effective resistance toward infinity.
D.It maps to , maximizing power transfer.
Correct Answer: It maps to , driving the effective resistance toward infinity.
Explanation:
Bootstrapping leverages positive AC feedback to ensure the AC voltage across the bias resistor is extremely small. The effective resistance seen at the input is . Since for a Darlington follower, .
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58An -stage cascaded amplifier is constructed using strictly identical non-interacting stages, each with a lower cutoff frequency . What is the exact expression for the overall lower 3-dB cutoff frequency of the entire cascade?
n-Stage Cascaded Amplifier
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For non-interacting cascaded stages, the overall gain is the product of the individual gains. The low-frequency response of a single stage is . For stages, the -3dB condition becomes . Solving for gives . This indicates that bandwidth shrinks (lower cutoff increases).
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59For large , the bandwidth shrinkage factor for identical cascaded amplifier stages can be approximated using a Taylor series expansion. Which of the following is the correct asymptotic approximation as ?
n-Stage Cascaded Amplifier
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Using the Maclaurin expansion for . Therefore, . Since , . Thus, the factor approaches .
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60When computing the transient response of an -stage interacting cascaded amplifier, the overall rise time can be estimated from the individual rise times using the empirical variance-sum formula. If all stages are identical with individual rise time , what is the overall rise time and the resulting effect on the overall bandwidth ?
n-Stage Cascaded Amplifier
Hard
A., and increases by a factor of
B., and decreases by a factor of
C., and remains constant
D., and decreases by a factor of
Correct Answer: , and decreases by a factor of
Explanation:
By Elmore's delay and rise time approximations (or the root-sum-square formula), the overall rise time for a cascade of stages is . For identical stages, . Since bandwidth is inversely proportional to rise time (), the overall bandwidth decreases by a factor of .