E&C ENGR 376 FINAL EXAM PREPARATION FALL, 2014

The final exam will be on Friday, Dec 19 at 10:30 AM. You may bring two 8.5" x 11" sheets of paper for help

sheet for each part of the final exam. You should also bring a calculator, extra batteries for your calculator,

pencils and an eraser. You may write or xerox copy on both sides of sheet. YOU MAY NOT TAPE, GLUE

OR ATTACH BY ANY METHOD ADDITIONAL SHEETS OR MATERIALS TO THE HELP SHEET.

ANY SHEET THAT HAS ANYTHING LOOSE ATTACHED TO IT WILL BE CONFISCATED.

The final exam will cover Chapter 14, portions of Chapter 15 (pp 675 thru 697), Six pages of Chapter 16 (pp

726-727 on the impulse response and the transfer function and pp 737-738 discussing stability), and Chapter 19

(Two port parameters). It will also cover Matlab commands associated with transfer functions, poles and zeros

and the Laplace transform. The exam will be 120 minutes and will consist of about 9 or 10 problems that are

similar to homework problems, problems for study and the examples in Chapters 14, 15 and 19 and examples

discussed in class. You may also find it beneficial to use Leach's method of superposition of dependent sources

helpful in the analysis of some problems. It is also expected that you have certain math, circuit analysis and

calculator skills from past courses including:

(1) Math skills: Arithmetic operations using complex numbers in rectangular and polar form, conversion

between rectangular and polar forms, matrix basics: products, determinants, transposes, minors, cofactors and

inverses of (2 x 2) matrices. (See also Appendices A and B if your skills are rusty)

(2) Circuit analysis skills: The analysis of DC circuits and AC circuits in the phasor (or equivalently the s-

domain) using basic tools of circuit analysis.

(3) Use of your calculator to handle complex numbers and conversions from rectangular to polar form or to do

matrix operations.

You will find helpful to focus primarily on the topics list presented below:

CHAPTER 14: FREQUENCY RESPONSE

(1) The definition of a transfer function

(2) Decibel relations for power and voltage (current) ratios, Eq. 14.5, 14.10 and 14.11.

(3) Bode plots, basic definition in terms of (1) a magnitude plot in decibels on the y-axis and a semilog

frequency scale on the x-axis and (2) a phase plot with phase on the y-axis versus the same semilog frequency

scale of the x-axis. See page 619 of the text.

(4) The asymptotic Bode plot, an approximation of magnitude and phase in terms of straight-line regions, the

required factored form (See Eq. 14.15), straight-line approximations of magnitude and phase of the factors (See

Table 14.3), and see Examples:14.3 and 14.4.

(5) Asymptotic Bode plotting using the method of slopes, see class notes, also see left side note page 622.

Special attention to dealing with sN type terms and computing the magnitudes in dB of flat (zero slope) regions

in an asymptotic Bode plot.

(6) Quadratic poles and zeros in Bode plots, damping factor and corner frequency, usually used with quadratic

terms that have complex roots, but can be used with the product of two real factors (See Example 14.5 and

Practice Problem 14.5)

(7) Series and parallel resonance, duality relationship (Discussed only in class) and key equations Table 14.4,

calculation of resonance for arbitrary resonant circuits (Neither parallel or series, see Practice Problem 14.8 and

homework)

(8) Passive filters: lowpass, highpass, bandpass and bandstop, ideal filters. See Fig. 14.30, Table 14.5, Examples

14.10 and 14.11.

(9) Section 14.10 will not be on the exam. Although the windows-mouse version of PSpice will not be on the

exam the script version of PSpice will be, see (10) below.

(10) Using Matlab and PSpice to plot transfer and filter functions will be on the exam. See class notes and

section 14.11, you should be able to use the Matlab functions: bode, tf, logspace, semilogx, abs and angle and

PSpice scripts to do frequency response plotting.

CHAPTER 15: LAPLACE TRANSFORMS, POLES AND ZEROS AND MATLAB

(1) Basic definition of Laplace transforms of simple functions: delta functions, step functions, exponential

functions, sin and cos functions. Use of tables to calculate simple forward and inverse Laplace transforms.

(2) Properties of the Laplace transform: linearity, time shifting and frequency shifting.

(3) Transfer function, poles and zeros, see also pp 726-727 in Chapter 16 about relation between impulse

response and transfer function.

(4) Inverse transforms using tables and the results of partial fraction expansion (PFE), simple poles (real and

complex), note that complex poles lead to sins and cosines (see Problem #9, Homework #10). Note we will not

do PFEs but should be able to use the result of a PFE to find inverse of simple poles.

(5) Matlab functions for handling poles, zeros and Laplace transforms: including the roots, residue, pzplot, tf,

syms, laplace, and ilaplace.

(6) Matlab plotting commands useful for plotting your own poles and zeros, using the set function to scale x-o

symbols.

(7) Stability and pole location, marginal stability, see Chapter 16 pp 737-738.

(8) Skip sections 15.5 and 15.6.

CHAPTER 19: TWO PORT NETWORKS

(1) Definition of a port, see Section 19.1 first paragraph

(2) Definition of a two-port network

(3) Impedance (z) parameters, definition, parameter names see (19.3), equivalent circuits, input/output (driving

point) and transfer impedances, symmetrical networks, reciprocal networks, equivalent circuits (T and general),

calculation of parameters for arbitrary circuits, see examples in Chapter 19.

(4) Admittance (y) parameters definition, parameter names see (19.10) equivalent circuits, transfer and

input/output admittances, symmetrical networks, reciprocal networks, equivalent circuits (Π and general),

calculation of parameters for arbitrary circuits, see examples in Chapter 19.

(5) Immitance parameters

(6) Hybrid (h) parameters, definitions, parameter names see (19.17), equivalent circuits, reciprocal networks,

calculation of parameters for arbitrary circuits, see examples in Chapter 19.

(7) Inverse hybrid parameters, definitions, parameter names see (19.21), equivalent circuits, reciprocal

networks, calculation of parameters for arbitrary circuits, see examples in Chapter 19.

(8) Transmission parameters (ABCD and abcd), definitions, parameter names see (19.24 and 19.28), reciprocal

networks, calculation of parameters for arbitrary circuits, see examples in Chapter 19.

(9) Conversion between parameters, see Table 19.1, this table will be attached to exam.

(10) Interconnection of networks: series, parallel, parallel-series and series-parallel (See class problems), and

cascaded connections.

(11) You should be able to follow and understand examples 19.1 through 19.14, examples worked in class and

any problems for study on port parameters.

(12) Use of two port parameters to calculate Thevenin equivalent circuits, see examples in Chapter 19.

(12) Skip sections 19.8 and 19.9.

SAMPLE EXAM

I will put a sample exam: ece376 sample final exam.f14.pdf on the class website. The purpose of the sample exam is to

give you an idea of the level of expectation in exam problems. It is not intended to represent what you should study. Any

exam can only represent a small sampling of the problems that can be asked and therefore it is not possible to be truly

comprehensive with only 8 or 9 problems. Therefore it is very important to use homework, textbook examples, class

examples and any problems for study that were provided in preparing for your examination.

HONESTY

Although cheating is rare in engineering, it has occurred in the past and the engineering faculty is diligent in its

enforcement of rules and regulations of the University of Missouri regarding cheating. A student may not

cheat, participate in cheating or fail to report cheating if he or she is aware of it. A student who violates the

rules and regulations regarding honesty can be expelled from the University. The faculty in engineering has had

students removed from the University in the past for cheating. Cheating is never worth it, don’t do it. Ethical

behavior is essential to the professional practice of engineering. It is important for faculty to promote high

ethical standards as a part of your engineering education. If you are ever caught cheating in engineering, even if

you do not lose your license it is likely that no one will trust your work again. It takes many years to establish a

good reputation; it takes only one lapse of judgment to lose it all. Protect your reputation, don't cheat.