Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Textbook Question
Chapter 6, Problem 6.67P
The parameters of the circuit in Figure P6.67 are
Figure P6.67
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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.
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…
Chapter 6 Solutions
Microelectronics: Circuit Analysis and Design
Ch. 6 - The circuit parameters for the circuit in Figure...Ch. 6 - For the circuit in Figure 6.3, assume transistor...Ch. 6 - For the circuit in Figure 6.14(a), let =90 ,...Ch. 6 - Using the circuit and transistor parameters given...Ch. 6 - Consider the circuit in Figure 6.18. The circuit...Ch. 6 - Repeat Example 6.4 if the quiescent collector...Ch. 6 - For the circuit in Figure 6.31, let RE=0.6k ,...Ch. 6 - Prob. 6.6EPCh. 6 - The parameters of the circuit shown in Figure 6.28...Ch. 6 - For the circuit shown in Figure 6.31, let =100 ,...
Ch. 6 - Design the circuit in Figure 6.35 such that it is...Ch. 6 - For the circuit in Figure 6.28, the smallsignal...Ch. 6 - The circuit in Figure 6.38 has parameters V+=5V ,...Ch. 6 - For the circuit in Figure 6.39, let =125 ,...Ch. 6 - (a) Assume the circuit shown in Figure 6.40(a) is...Ch. 6 - For the circuit in Figure 6.39, let =125 ,...Ch. 6 - Reconsider the circuit in Figure 6.38. Let =120 ,...Ch. 6 - For the circuit shown in Figure 6.48, let =120 ,...Ch. 6 - For the circuit in Figure 6.31, use the parameters...Ch. 6 - Consider the circuit in Figure 6.38. Assume...Ch. 6 - For the circuit shown in Figure 6.49, let VCC=12V...Ch. 6 - Consider the circuit and transistor parameters...Ch. 6 - For the circuit in Figure 6.54, the transistor...Ch. 6 - Assume the circuit in Figure 6.57 uses a 2N2222...Ch. 6 - For the circuit in Figure 6.58, RE=2k , R1=R2=50k...Ch. 6 - Prob. 6.12TYUCh. 6 - For the circuit shown in Figure 6.63, the...Ch. 6 - Prob. 6.14TYUCh. 6 - For the circuit shown in Figure 6.64, let RS=0 ,...Ch. 6 - Consider the circuit in Figure 6.70(a). Let =100 ,...Ch. 6 - In the circuit in Figure 6.74 the transistor...Ch. 6 - Discuss, using the concept of a load line, how a...Ch. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Sketch the hybrid- equivalent circuit of an npn...Ch. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Sketch a simple emitter-follower amplifier circuit...Ch. 6 - Sketch a simple common-base amplifier circuit and...Ch. 6 - Compare the ac circuit characteristics of the...Ch. 6 - Prob. 13RQCh. 6 - Prob. 14RQCh. 6 - (a) Determine the smallsignal parameters gm,r ,...Ch. 6 - (a) The transistor parameters are =125 and VA=200V...Ch. 6 - A transistor has a current gain in the range 90180...Ch. 6 - The transistor in Figure 6.3 has parameters =120...Ch. 6 - Prob. 6.5PCh. 6 - For the circuit in Figure 6.3, =120 , VCC=5V ,...Ch. 6 - The parameters of each transistor in the circuits...Ch. 6 - The parameters of each transistor in the circuits...Ch. 6 - The circuit in Figure 6.3 is biased at VCC=10V and...Ch. 6 - For the circuit in Figure 6.14, =100 , VA= ,...Ch. 6 - Prob. 6.11PCh. 6 - The parameters of the transistor in the circuit in...Ch. 6 - Assume that =100 , VA= , R1=33k , and R2=50k for...Ch. 6 - The transistor parameters for the circuit in...Ch. 6 - For the circuit in Figure P6.15, the transistor...Ch. 6 - Prob. D6.16PCh. 6 - The signal source in Figure P6.18 is s=5sintmV ....Ch. 6 - Consider the circuit shown in Figure P6.19 where...Ch. 6 - Prob. 6.20PCh. 6 - Figure P6.21 The parameters of the transistor in...Ch. 6 - Prob. 6.22PCh. 6 - For the circuit in Figure P6.23, the transistor...Ch. 6 - The transistor in the circuit in Figure P6.24 has...Ch. 6 - For the transistor in the circuit in Figure P6.26,...Ch. 6 - If the collector of a transistor is connected to...Ch. 6 - Consider the circuit shown in Figure P6.13. Assume...Ch. 6 - For the circuit in Figure P6.15, let =100 , VA= ,...Ch. 6 - Consider the circuit in Figure P6.19. The...Ch. 6 - The parameters of the circuit shown in Figure...Ch. 6 - Consider the circuit in Figure P6.26 with...Ch. 6 - For the circuit in Figure P6.20, the transistor...Ch. 6 - In the circuit in Figure P6.22 with transistor...Ch. 6 - For the circuit in Figure P6.24, the transistor...Ch. 6 - Prob. 6.40PCh. 6 - Consider the ac equivalent circuit in Figure...Ch. 6 - For the ac equivalent circuit in Figure P6.42,...Ch. 6 - The circuit and transistor parameters for the ac...Ch. 6 - Consider the circuit in Figure P6.45. The...Ch. 6 - For the transistor in Figure P6.47, =80 and...Ch. 6 - Consider the emitterfollower amplifier shown in...Ch. 6 - The transistor parameters for the circuit in...Ch. 6 - In the circuit shown in Figure P6.51, determine...Ch. 6 - The transistor current gain in the circuit shown...Ch. 6 - Consider the circuit shown in Figure P6.47. The...Ch. 6 - For the circuit in Figure P6.54, the parameters...Ch. 6 - Figure P6.59 is an ac equivalent circuit of a...Ch. 6 - The transistor in the ac equivalent circuit shown...Ch. 6 - Consider the ac equivalent commonbase circuit...Ch. 6 - Prob. 6.62PCh. 6 - The transistor in the circuit shown in Figure...Ch. 6 - Repeat Problem 6.63 with a 100 resistor in series...Ch. 6 - Consider the commonbase circuit in Figure P6.65....Ch. 6 - For the circuit shown in Figure P6.66, the...Ch. 6 - The parameters of the circuit in Figure P6.67 are...Ch. 6 - For the commonbase circuit shown in Figure P6.67,...Ch. 6 - Consider the circuit shown in Figure P6.69. The...Ch. 6 - In the circuit of Figure P6.71, let VEE=VCC=5V ,...Ch. 6 - Consider the ac equivalent circuit in Figure...Ch. 6 - The transistor parameters in the ac equivalent...Ch. 6 - Consider the circuit shown in Figure 6.38. The...Ch. 6 - For the circuit shown in Figure 6.57, the...
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- 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_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_forwarda) 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_forward
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