Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Question
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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2-) The AC equivalent of a feedback amplifier circuit is given in the figure on the right. (Hfe100, Va = ∞, Ic1 = 15 mA, Ic2 = 5mA and Ic3 = 5 mA)
a) State the type of feedback used in the circuit, explaining the reason.
b) Draw the small signal equivalent of the amplifier circuit.
c) Calculate the value of β for the feedback by drawing the β circuit.
d) Find the Avf = Vo / Vs closed loop gain of this circuit.
e) Find the Rif and Rof values.
A closed-loop amplifier is to have a 75° phase margin for B 1. What is the required unity-gain frequency f, if
feq
= Woq/(2n)
= 50MHZ? What is the required fia?
20
A feedback amplifier with a compensation cacacitor has a low-frequency loop gain of 100dB and three
poles at fr1= 10Hz and fp2 = 5MHz, and fe3= 10MHz.
a) Find the frequency at which T
= 1
b)
If the frequency fr1 is due to a compensation capacitor CF=20pF, determine the dominant the new
dominant pole fer and phase margin if the compensation capacitor is increased to CF = 75pF.
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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- Explain how the Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system. Formulate the criterion for a system with no right-half plane open-loop poles. (a) (b) Consider the Nyquist plot of the frequency response of the system G(jw) = 500 shown in Figure Q4 below. (jw+1)(jw+10)² i. Explain how the gain margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. What is the maximum value of an additional gain K for which the closed loop would still be stable? 0.5 -0.5 -0.5 0.5 Real Axis Figure Q4 i. Explain how the phase margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. Assuming that the corresponding point on the plot occurs at 4rad/s, what is the maximum delay which can be added to the system before the closed loop would become unstable? Sketch the approximate Bode diagram for the system in part (b) of the question, clearly showing the asymptotes and corner…arrow_forwardA. If the forward gain is 5 and feedback gain is 1, determine the close-loop gain of a negative feedback amplifier. answer: B. For a Wien-bridge oscillator (as presented in the lecture), if the feedback resistor has a value of 10-kohm, determine the value of Ri (in kilo-ohm). answer:arrow_forward(2) suppose the open-loop amplifier (or simply the OpAmp) in the above feedback amplifier has the following simulated magnitude and phase response. Some of the data points are given below: fs =175kHz, Mag(fg)= 42DB, Phase(f;) =-180deg f, =120KHZ, Mag(f,)=48dB, Phase(f;) =-150deg fo =100kHz, Mag(f.)=51DB,Phase(f.)=-135deg fs = 85kHz, Mag(f,)=53dB, Phase(f;) =-115deg f = 77kHz, Mag(f.)=55dB, Phase(f.)=-105deg f3 = 45kHz, Mag((f,)=57&B, Phase(S,) =-75deg %3D %3D %3D %3D %3D Phase (deg) 20 loglal(dB) 70 60 -50 42 40 -100 -150 20 -180 -200 -250 20t-270 IOM -10 Ik 10k IM JOM 100k IM 100k Ik (a) Magnitude (b) Phase (without pole compensation), from the plots or the data given, calculate the required feedback coefficient B for a phase margin of 75 degrees. (3) (without pole compensation) with the above magnitude and phase plots, suppose we enforce B = 0.0025 as the feedback coefficient, find the resulting gain margin of the feedback amplifier.arrow_forward
- Si transistor has ICEO = 0, B = 100, Rc=2kQ, Vcc=12 V. Assume that; (VCEQ = Vcc /2). The circuit of Figure below uses current- (or shunt-) feedback bias. The +Vcc find RC Cc 1. The value of IgQ RF 2. The value of RF lic Rs VL RL Cc R. R;arrow_forwardQuiz #5: For the feedback transconductance amplifier in the Figure. The open-loop gain of opamp is A. - Find expression for A, = 1,/Vs, and ß = loNr - Find expression for A, = 1,/Vs, and B = 1/V, if A = 0 %3D I. Vs E Rz mun Ruarrow_forwardConsider the series-shunt feedback amplifier of Figure below. Assume that the voltage divider (R1, R2) is implemented with a 1-MQ potentiometer. Assume that the MOSFET is biased so that gm 4 mA/V and r, is large. Also, Rp = 10 k. A VDD Find the value of R1 that results in a closed-loop gain of 5 V/V. Rp R2 R1 V,arrow_forward
- 1. Calculate the gain of a negative-feedback amplifier having A = -2000 and B = -1/10. 2. If the gain of an amplifier changes from a value of – 1000 by 10%, calculate the gain change if the amplifier is used in a feedback circuit having B = – 1/20.arrow_forwardExplain how the Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system. Formulate the criterion for a system with no right-half plane open-loop poles. Q4 (a) Continued overleaf Page 4 of 10 (b) Consider the Nyquist plot of the frequency response of the system G(jw) = 500 - shown in Figure Q4 below. (jw+1)(jw+10)2 i. Explain how the gain margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. What is the maximum value of an additional gain K for which the closed loop would still be stable? 0.5 -1 -1 -0.5 0.5 1 Real Axis Figure Q4 i. Explain how the phase margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. Assuming that the corresponding point on the plot occurs at 4rad/s, what is the maximum delay which can be added to the system before the closed loop would become unstable? Sketch the approximate Bode diagram for the system in part (b) of the question,…arrow_forward(2) suppose the open-loop amplifier (or simply the OpAmp) in the above feedback amplifier has the following simulated magnitude and phase response. Some of the data points are given below: f3 =175kHz, Mag(f;)= 42DB, Phase(f;) =-180deg f, =120kHz, Mag(f;)= 48DB, Phase(f,) =-150deg fo =100kHz, Mag(f.)=51DB, Phase(f.)=-135deg fs = 85kHz, Mag(f;)=534B, Phase(f;)=-115deg f =77kHz, Mag(f.)=55dB, Phase(f,) =-105 deg f3 = 45kHz, Mag(f,)=57&B, Phase(f;) =-75 deg %3D %3D Phase (deg) 20 loglal(dB) 70 60 -50 42 40 -100 -150 20 -180 -200 -250 (Hz) -270 10M f (Hz) -10 Ik 10k 100k IM 10M Ik 10k 100k IM (a) Magnitude (b) Phase (without pole compensation), from the plots or the data given, calculate the required feedback coefficient B for a phase margin of 75 degrees.arrow_forward
- a) Obtain the open-loop transfer function. Go to page: 12 he closed-loop transfer function.. c) Find the value of gain and closed-loop poles at the imaginary axis crossing:... d) Write the range of k for which the closed system is stable.......….. e) Write the value of k that makes the system marginally stable:... f) What would be the period of oscillation. g) Find %OS, Tp, Ts, atk = 15. h) Find the steady-state errors when the input is r(t)= 0.62 u(t) step at k=15:.. H(s)G(s): k (s + 7)(s +1-j)(s +1+j)arrow_forward4. A DC amplifier has a single-pole response with a pole frequency of fpp 100Hz a low- = 2 x 10³. The amplifier operates in a closed-loop system with frequency gain of A = 0.05. 0 Find the closed-loop low-frequency gain and bandwidth. =arrow_forwardConsider the series-shunt feedback amplifier of Figure below. Assume that the voltage divider (R,, R,) is implemented with a 1-MO potentiometer. Assume that the MOSFET is VDD biased so that gm = 4 mA/V and r, is large. Also, Rp = 10 kN. Find the value of R1 that results in a closed-loop gain of 5 V/V. Rp R2 R1 V,arrow_forward
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