Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Chapter 12, Problem 12.87P
(a)
To determine
The frequency and the value of the phase margin.
(b)
To determine
The new dominant pole frequency and the value of the phase margin.
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Imaginary Axis (seconds)
1
6. Root locus for a closed-loop system with L(s) =
is shown below.
s(s+4)(s+6)
15
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0.95
0.988
0.988
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0.95
-15
-25
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20
Root Locus
0.81
0.7
0.56
0.38
0.2
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15
System: sys
Gain: 239
Pole: -0.00417 +4.89
Damping: 0.000854
Overshoot (%): 99.7
Frequency (rad/s): 4.89
System: sys
Gain: 16.9
Pole: -1.57
Damping: 1
Overshoot (%): 0
Frequency (rad/s): 1.57
0.81
0.7
0.56
0.38
0.2
-20
-15
-10
-5
5
10
Real Axis (seconds)
From the values shown in the figure, compute the following.
a) Range of K for which the closed-loop system is stable.
b) Range of K for which the closed-loop step response will not have any overshoot.
Note that when all poles are real, the step response has no overshoot.
c) Smallest possible peak time of the system. Note that peak time is the smallest
when wa is the largest for the dominant pole.
d) Smallest possible settling time of the system. Note that peak time is the smallest
when σ is the largest for the dominant pole.
For a band-rejection filter, the response drops below this half power point at two locations as visualised in Figure 7, we need to find these
frequencies. Let's call the lower frequency-3dB point as fr and the higher frequency -3dB point fH. We can then find out the bandwidth as
f=fHfL, as illustrated in Figure 7.
0dB
Af
-3 dB
Figure 7. Band reject filter response diagram
Considering your AC simulation frequency response and referring to Figure 7, measure the following from your AC simulation. 1% accuracy:
(a) Upper-3db Frequency (fH) =
Hz
(b) Lower-3db Frequency (fL) =
Hz
(c) Bandwidth (Aƒ) =
Hz
(d) Quality Factor (Q) =
P 4.4-21 Determine the values of the node voltages V1, V2, and
v3 for the circuit shown in Figure P 4.4-21.
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12 V
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Chapter 12 Solutions
Microelectronics: Circuit Analysis and Design
Ch. 12 - (a) The open-loop gain of an amplifier is A=5104...Ch. 12 - (a) Consider a general feedback system with...Ch. 12 - (a) A feedback amplifier has an open-loop...Ch. 12 - (a) Consider the circuit shown in Figure...Ch. 12 - (a) The closed-loop gain of a feedback amplifier...Ch. 12 - The gain factors in a feedback system are A=5105...Ch. 12 - Prob. 12.3TYUCh. 12 - An ideal series-shunt feedback amplifier is shown...Ch. 12 - Consider the ideal shunt-series feedback amplifier...Ch. 12 - An ideal series-series feedback amplifier is shown...
Ch. 12 - Prob. 12.5TYUCh. 12 - Consider the noninverting op-amp circuit shown in...Ch. 12 - Design a feedback voltage amplifier to provide a...Ch. 12 - Prob. 12.6TYUCh. 12 - (a) Assume the transistor in the source-follower...Ch. 12 - Consider the common-base circuit in Figure...Ch. 12 - Design a feedback current amplifier to provide a...Ch. 12 - Prob. 12.8TYUCh. 12 - Prob. 12.9TYUCh. 12 - For the circuit in Figure 12.31, the transistor...Ch. 12 - Design a transconductance feedback amplifier with...Ch. 12 - Prob. 12.10TYUCh. 12 - Consider the circuit in Figure 12.39, with...Ch. 12 - Consider the BJT feedback circuit in Figure...Ch. 12 - Prob. 12.12TYUCh. 12 - Consider the circuit in Figure...Ch. 12 - Prob. 12.16EPCh. 12 - Prob. 12.17EPCh. 12 - Consider the circuit in Figure 12.44(a) with...Ch. 12 - Consider the circuit in Figure 12.16 with the...Ch. 12 - Prob. 12.18EPCh. 12 - Consider the loop gain function T(f)=(3000)(1+jf...Ch. 12 - Consider the loop gain function given in Exercise...Ch. 12 - Prob. 12.16TYUCh. 12 - Prob. 12.17TYUCh. 12 - Prob. 12.20EPCh. 12 - Prob. 12.21EPCh. 12 - Prob. 12.22EPCh. 12 - What are the two general types of feedback and...Ch. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Describe the series and shunt output connections...Ch. 12 - Describe the effect of a series or shunt input...Ch. 12 - Describe the effect of a series or shunt output...Ch. 12 - Consider a noninverting op-amp circuit. Describe...Ch. 12 - Prob. 11RQCh. 12 - What is the Nyquist stability criterion for a...Ch. 12 - Using Bode plots, describe the conditions of...Ch. 12 - Prob. 14RQCh. 12 - Prob. 15RQCh. 12 - Prob. 16RQCh. 12 - Prob. 17RQCh. 12 - (a) A negative-feedback amplifier has a...Ch. 12 - Prob. 12.2PCh. 12 - The ideal feedback transfer function is given by...Ch. 12 - Prob. 12.4PCh. 12 - Consider the feedback system shown in Figure 12.1...Ch. 12 - The open-loop gain of an amplifier is A=5104. If...Ch. 12 - Two feedback configurations are shown in Figures...Ch. 12 - Three voltage amplifiers are in cascade as shown...Ch. 12 - (a) The open-loop low-frequency voltage gain of an...Ch. 12 - (a) Determine the closed-loop bandwidth of a...Ch. 12 - (a) An inverting amplifier uses an op-amp with an...Ch. 12 - The basic amplifier in a feedback configuration...Ch. 12 - Consider the two feedback networks shown in...Ch. 12 - Prob. 12.14PCh. 12 - Two feedback configurations are shown in Figures...Ch. 12 - Prob. 12.16PCh. 12 - The parameters of the ideal series-shunt circuit...Ch. 12 - For the noninverting op-amp circuit in Figure...Ch. 12 - Consider the noninverting op-amp circuit in Figure...Ch. 12 - The circuit parameters of the ideal shunt-series...Ch. 12 - Consider the ideal shunt-series amplifier shown in...Ch. 12 - Consider the op-amp circuit in Figure P12.22. The...Ch. 12 - An op-amp circuit is shown in Figure P12.22. Its...Ch. 12 - Prob. 12.24PCh. 12 - Prob. 12.25PCh. 12 - Consider the circuit in Figure P12.26. The input...Ch. 12 - The circuit shown in Figure P12.26 has the same...Ch. 12 - The circuit parameters of the ideal shunt-shunt...Ch. 12 - Prob. 12.29PCh. 12 - Consider the current-to-voltage converter circuit...Ch. 12 - Prob. 12.31PCh. 12 - Determine the type of feedback configuration that...Ch. 12 - Prob. 12.33PCh. 12 - A compound transconductance amplifier is to be...Ch. 12 - The parameters of the op-amp in the circuit shown...Ch. 12 - Prob. 12.36PCh. 12 - Consider the series-shunt feedback circuit in...Ch. 12 - The circuit shown in Figure P12.38 is an ac...Ch. 12 - Prob. 12.39PCh. 12 - Prob. 12.40PCh. 12 - Prob. 12.41PCh. 12 - Prob. 12.42PCh. 12 - Prob. D12.43PCh. 12 - Prob. D12.44PCh. 12 - An op-amp current gain amplifier is shown in...Ch. 12 - Prob. 12.46PCh. 12 - Prob. 12.47PCh. 12 - Prob. 12.48PCh. 12 - The circuit in Figure P 12.49 has transistor...Ch. 12 - (a) Using the small-signal equivalent circuit in...Ch. 12 - The circuit in Figure P12.51 is an example of a...Ch. 12 - Prob. 12.52PCh. 12 - For the transistors in the circuit in Figure P...Ch. 12 - Consider the transconductance amplifier shown in...Ch. 12 - Consider the transconductance feedback amplifier...Ch. 12 - Prob. 12.57PCh. 12 - Prob. D12.58PCh. 12 - Prob. 12.59PCh. 12 - Prob. D12.60PCh. 12 - Prob. 12.61PCh. 12 - The transistor parameters for the circuit shown in...Ch. 12 - Prob. 12.63PCh. 12 - For the circuit in Figure P 12.64, the transistor...Ch. 12 - Prob. 12.65PCh. 12 - Prob. 12.66PCh. 12 - Design a feedback transresistance amplifier using...Ch. 12 - Prob. 12.68PCh. 12 - Prob. 12.69PCh. 12 - Prob. 12.70PCh. 12 - The transistor parameters for the circuit shown in...Ch. 12 - Prob. 12.72PCh. 12 - The open-loop voltage gain of an amplifier is...Ch. 12 - A loop gain function is given by T(f)=( 103)(1+jf...Ch. 12 - A three-pole feedback amplifier has a loop gain...Ch. 12 - A three-pole feedback amplifier has a loop gain...Ch. 12 - A feedback system has an amplifier with a...Ch. 12 - Prob. 12.78PCh. 12 - Prob. 12.79PCh. 12 - Consider a feedback amplifier for which the...Ch. 12 - Prob. 12.81PCh. 12 - A feedback amplifier has a low-frequency open-loop...Ch. 12 - Prob. 12.83PCh. 12 - A loop gain function is given by T(f)=500(1+jf 10...Ch. 12 - Prob. 12.85PCh. 12 - Prob. 12.86PCh. 12 - Prob. 12.87PCh. 12 - Prob. 12.88PCh. 12 - The amplifier described in Problem 12.82 is to be...Ch. 12 - Prob. 12.90PCh. 12 - Prob. 12.91CSPCh. 12 - Prob. 12.93CSPCh. 12 - Prob. 12.94CSPCh. 12 - Prob. D12.95DPCh. 12 - Op-amps with low-frequency open-loop gains of 5104...Ch. 12 - Prob. D12.97DP
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