Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12, Problem 16RQ
To determine
To discuss:
Dominant pole.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
c)
An RC circuit is given in Figure Q1.1, where Vi(t) and Vo(t) are the input and
output voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change of Vi(t) applied to the circuit, derive the time
response of Vo(t) with this step change.
Vi(t)
C₁
Vo(1)
R₂ C2 C3 |
R = 20 ΚΩ = 50 ΚΩ
C=C2=C3=25 μF
Figure Q1.1. RC circuit.
c) An RC circuit is given in Figure Q1. vi(t) and vo (t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R₁ R2
v₁(t)
R3 C₁
v₁(t)
R₁ = R₂ = 10 k
R3
= 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
c)
A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii)
With a unit step change of Vi(t) applied to the circuit, derive the time
response of the circuit.
C₁ C₂
Vi(t)
Vo(1)
R₁ C₂
R-25 k C=C2=50 µF
Figure Q1.1. RC circuit.
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Answer 2 questions for 100 marks Question 1: Process Design [25 marks] An incomplete process design of a flash drum distillation unit is presented in Figure 1. The key variables to be controlled are flow rate, temperature, composition, pressure and liquid level in the drum. Disturbances are observed in the feed temperature and composition. Heat exchangers Drum Vapor Liquid Pump Figure 1: Incomplete process design of a distillation unit Answer the following questions briefly and in a qualitative fashion: a) Determine which sensors and final elements are required so that the important variables can be controlled. Sketch them in the figure using correct instrumentation tags. Describe briefly what instruments you will use and where they should be located. Reflect on the potential presence of a flow controller upstream of your process design (not shown in the diagram). How would this affect the level controller in the drum? b) [10 marks] Describe briefly how you qualitatively determine the…arrow_forwardAnswer 2 questions for 100 marks Question 1: Process Design [25 marks] An incomplete process design of a flash drum distillation unit is presented in Figure 1. The key variables to be controlled are flow rate, temperature, composition, pressure and liquid level in the drum. Disturbances are observed in the feed temperature and composition. Heat exchangers Drum Vapor Liquid Pump Figure 1: Incomplete process design of a distillation unit Answer the following questions briefly and in a qualitative fashion: a) Determine which sensors and final elements are required so that the important variables can be controlled. Sketch them in the figure using correct instrumentation tags. Describe briefly what instruments you will use and where they should be located. Reflect on the potential presence of a flow controller upstream of your process design (not shown in the diagram). How would this affect the level controller in the drum? b) [10 marks] Describe briefly how you qualitatively determine the…arrow_forwardQuestion 2: Process Control [75 marks] As a process engineer, you are tasked to control the process shown in Figure 2. For biomedical engineers, the process could be interpreted as the injection of a solution of a medication compound A, with initial concentration CAO, into a human body, simplified as a Continuously Stirred Tank Reactor (CSTR). Therefore, your task is to analyse and model this process. The equipment consists of a mixing tank, mixing pipe and CSTR. F₁ Сло CA2 V₁ mixing pipe F4 CA4 F3 CA3 mixing tank Fs CAS Vs stirred-tank reactor Figure 2: Mixing and reaction processes Assumptions used for modelling are as follows: I. Both tanks are well mixed and have constant volume and temperature. II. All pipes are short and contribute negligible transportation delay, III. All flow rates are constant. All densities are constant and uniform throughout. IV. The first tank is a mixing tank. V. VI. The mixing pipe has no accumulation, and the concentration CA3 is constant The second tank…arrow_forward
- a) Reflect on the assumptions and briefly explain their implications for your model. Do you agree with the assumptions? If not, briefly suggest improved assumptions. [6 marks] b) Derive a linear(ised) model (algebraic or differential equation) relating C'A2(t) to C'Ao(f). How do you define your system? What type of balance do you need to solve for this purpose? [12 marks] c) Derive a linear(ised) model (algebraic or differential equation) relating C'A4(t) to C'A2(f). Show your balance equation. [12 marks] d) Derive a linear(ised) model (algebraic or differential equation) relating C'A5(t) to C'A4(f). Show your balance equation. [12 marks] e) Combine the models in parts (a) to (c) into one equation relating C'A5 to C'Ao using Laplace transforms. [15 marks] f) Is the response (for example to step input) stable or unstable? Is the response periodic? Is the response damped? [6 marks] g) Carry out an inverse Laplace Transform for C'Ao(s) = A CAO/s (step function) to find C'A5(t) in the time…arrow_forwardI need helparrow_forwardThe values of the circuit elements in the circuit shown in the figure are given below.The initial energies of the capacitors and the coil are zero.Accordingly, how many volts is the voltage vo at t=0.55 seconds? vs(t) = 2cos(4000t)u(t) VR = 19 ohmL = 20 HC1 = 1/5 FC2 = 1/2 Farrow_forward
- could you please show steps on how the answer was derived. Vo(t)=3.922 cos(1000t-71.31')Varrow_forwardcan you show the steps to answer question.arrow_forwardQ2. Figure Q2 shows a block diagram with an input of C(s) and an output R(s). a) C(s) K₁ R(s) K2 1 + 5s 1+2s Figure Q2. Block diagram of control system. Simply the block diagram to get the transfer function of the system C(s)/R(s). b) What is the order of the system? c) What is the gain of the system? d) Determine the values of K₁ and K₂ to obtain a natural frequency w of 0.5 rad/s and damping ratio of 0.4. e) What is the rise time and overshoot of the system with a unit step input?arrow_forward
- Q4. a) A purely derivative controller (i.e. with a zero at the origin only) is defined by an improper transfer function. Considering its asymptotic behaviour, explain why a purely derivative controller is difficult to implement in practice. Relate your explanation to the potential limitations on system performance. b) Discuss the potential issues faced by a control system with a large cut-off frequency. Relate your discussion to the implications on system performance. c) The transfer function of a lag compensator is given by 2 KPID(S) = 2.2++0.2s S By using the asymptotic approximation technique: (i) Obtain the standard form and corner frequency for each individual component of KPID(S). (ii) Clearly describe the asymptotic behaviour of each individual component of KPID(S).arrow_forwardModule Code: EN2058 Q1. a) List the advantages and disadvantages of a closed loop system compared to an open loop system. b) c) What is the procedure for designing a control system for a bread toaster? An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output voltages. (i) Derive the transfer function of the circuit. (ii) With a unit step change vi(t) applied to the circuit, derive and sketch the time response of the circuit. R1 R2 v₁(t) R3 C1 vo(t) R₁ =R2 = 10 k R3 = 100 kn C₁ = 100 μF Figure Q1. RC circuit. (iii) Assuming zero initial conditions, obtain the impulse and ramp responses of the circuit from the step response derived in (ii). Sketching is not needed.arrow_forwardQ3. a) The frequency response method enables the study of the steady-state response of a system G(s). What type of inputs are used for frequency response? If the system is linear and stable, how does the output differ from the input? Compare the main characteristics of two types frequency response plots. b) Consider the control system shown in Figure Q3. Controller E(s) R(s) Desired output C(s) Plant G(s) Y(s) Actual output 3(s + 3) C(s) = k G(s) = = s(s - 1)(s + 10) Figure Q3. Closed-loop system. (i) Considering definitions in the study of bounded-input bounded-output stability, is G(s) stable? Classify the poles and zeros of G(s). (ii) G(s) defined in Figure Q3 is a system completely characterised by its transfer function. Explain why this is the case. (iii) Obtain the closed-loop transfer function P(s) = Y(s)/R(s) of the system. (iv) Based on your result for the previous question [Question 3b)-(iii)], use the Routh-Hurwitz stability criterion to determine suitable values of gain K…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,