Engineering Circuit Analysis - Chabot College

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Chabot College

Fall 2010





Replaced Fall 2011

Course Outline for Engineering
43

ENGINEERING CIRCUIT ANALYSIS


Catalog Description:


43

-

Engineering
Circuit Analysis

4

units


Introduction to basic electrical circuit analysis. DC and AC circuit analysis m
ethods, network
theorems, voltage and current sources, resistors, operational amplifiers, capacitors and inductors.
Natural and forced response of first and second order circuits. Steady
-
state sinusoidal circuit
analysis, and power calculations. Basic inst
ruments, and experimental techniques in Electrical
Engineering: DC current/voltage supplies, analog/digital multiple
-
use meters, oscilloscopes, AC
function generators. Measurements of resistance, inductance, capacitance, voltage, current, and
frequency res
ponse, Prerequisites: Physics 4A and Engineering 25 (both completed with a grade of
"C" or higher). Strongly recommended: Physics 4B (concurrent enrollment encouraged). 3 hours
lecture, 3 hours laboratory.



[Typical contact hours: lecture 52.5, laboratory 52.5]
.

Prerequisite Skills



Before entering the course, the student should be able to:

1.

analyze and solve a variety of problems often using calculus i
n topics such as:

a.

addition, subtraction, dot product and cross product of vectors;

b.

linear and rotational kinematics;

c.

dynamics;

d.

momentum;

e.

work, kinetic energy, and potential energy;

f.

rotational kinematics and dynamics;

g.

statics;

h.

gravitation;

i.

oscillations;

2.

ope
rate standard laboratory equipment;

3.

analyze laboratory data;

4.

write c
omprehensive laboratory reports;

5.

analyze engineering/science word problems to formulate a mathematical model of the problem;

6.

express in MATLAB notation: scalars, vectors, matrices;

7.

perform
, using MATLAB or EXCEL, mathematical operations on vectors, scalars, and matrices

a.

addition and subtraction;

b.

multiplication and addition;

c.

exponentiation;

8.

compute, using MATLAB or EXCEL, the numerical
-
value of standard mathematical functions

a.

trigonometric
functions;

b.

exponential functions;

c.

square
-
roots and absolute values;

9.

create, store, and run MATLAB script files;

10.

import data to MATLAB for subsequent analysis from data
-
sources

a.
data
-
acquisition
-
system data
-
files;

b.
spreadsheet files;

11.

construct gr
aphical plots for mathematical
-
functions in two or three dimensions;

12.

formulate a fit to given data in terms of a mathematical curve, or model, based on linear,
polynomial, power, or exponential functions

Chabot College

Course Outline for Engineering 43, Page
2

Fall 2010


a.

assess the goodness
-
of
-
fit for the mathematical mode
l using regression analysis;


13.

apply MATLAB to find the numerical solution to systems of linear equations

a.

uniquely determined;

b.

underdetermined;

c.

overdetermined;

14.

perform using MATLAB or EXCEL statistical analysis of experimental data to determine the
mean, me
dian, standard deviation, and other measures that characterize the nature of the data ;

15.

compute, for empirical or functional data, numerical definite
-
integrals and discrete
-
point
derivatives;

16.

solve numerically, using MATLAB, linear, second order, constant
-
coefficient, nonhomogenous
ordinary differential equations;

17.

assess, symbolically, using MATLAB

a.

the solution to transcendental equations;

b.

derivatives, antiderivatives, and integrals;

c.

solutions to ordinary differential equations;

18.

apply, using EXCEL, linear r
egression analysis to xy data
-
sets to determine for the best
-
fit line
the: slope, intercept, and correlation
-
coefficient;

19.

draw using MATLAB or EXCEL two
-
dimensional Cartesian (xy) line
-
plots with multiple data
-
sets
(multiple lines);

20.

draw using EXCEL qualit
ative
-
comparison charts such as Bar
-
Charts and Column
-
Charts in two
or three dimensions;

21.

perform, using MATLAB and EXCEL, mathematical
-
logic operations;

22.

plan, conceptually, computer
-
solutions to engineering/science problems using psuedocode and/or
flow
-
cha
rt methods;

23.

compose MATLAB script files that employ FOR and WHILE loops to solve engineering/science
problems that require repetitive actions.


Expected Outcomes for Students


Upon completion of the course the student should be able to:

1.

explain and apply t
he passive sign convention for current and voltage polarities;

2.

describe and illustrate the operation of independent and dependent current/voltage sources;

3.

state Ohm’s law of electrical resistance;

4.

define Kirchoff’s Current Law of charge conservation;

5.

defin
e Kirchoff’s Voltage Law of energy conservation;

6.

draw linear
-
circuit diagrams;

7.

apply nodal analysis to solve linear
-
circuit problems for node voltages;

8.

apply loop/mesh analysis to solve linear
-
circuit problems for branch currents;

9.

list the characteristics
of ideal operational amplifiers

10.

solve Ideal operational amplifier circuits for the output
-
voltage and/or output
-
gain;

11.

employ source
-
superposition to solve linear
-
circuit problems for an output
-
voltage or output
-
current

12.

state the theorems of Thévenin and No
rton;

13.

evaluate linear
-
circuits to construct the Thévenin and Norton equivalent circuits;

14.

apply the theorems of Norton and Thévenin to solve linear
-
circuit problems for an output
-
voltage
or output
-
current;

15.

assess using the theorems of Norton and Thévenin t
he exact circuit
-
load required for maximum
power transfer to the load

16.

state the mathematical model for the ideal capacitor

17.

state the mathematical model for the ideal inductor

18.

formulate the circuit equivalents for resistors/capacitors/inductors combined in
series or parallel
connections

Chabot College

Course Outline for Engineering 43, Page
3

Fall 2010


19.

evaluate the circuit response for first and second order, time variant linear circuits, and produce a
mathematical model for the transient response

20.

recall the proper mathematical form of a sinusoid

21.

express the phasor form of
a steady
-
state sinusoidal voltage or current

22.

compute the frequency dependent value of the impedance for a capacitor or inductor

23.

solve steady
-
state sinusoidal linear circuits in the frequency domain for the phasor output
-
current
or phasor output
-
voltage

24.

con
struct time
-
domain currents/voltages from the frequency
-
domain version of the same quantity

25.

use Faraday’s and Ampere’s laws to solve mutually inductive circuits for output voltages/currents

26.

apply the ideal transformer model to solve mutually inductive circ
uits for output voltages/currents

27.

perform power analyses for steady
-
state sinusoidal circuits;

28.

operate standard electrical
-
engineering laboratory equipment to characterize the operation of
linear circuits

a.

oscilloscope

b.

function generator

c.

dc power supply

d.

ana
log volt
-
ohm
-
amp meter (VOAM)

e.

digital multi
-
meter (DMM)

f.

basic circuit components, such as:

1)

circuit board (bread board)

2)

resistor

3)

capacitor

4)

inductor

29.

function with increased independence in laboratory, without extensive input on the part of the
instructor: a
ssemble and perform the experiments based on the instructions in the laboratory
sheets, analyze laboratory data and present experimental results.


Course Content (Lecture):


1.

Basic quantities for electrical circuits: charge/current, potential

2.

Linear circuit
s

a.

defined by the principle of superposition

b.

circuit diagrams

1)

nodes

2)

branches

3)

components

3.

Circuit power balance: [power
-
dissipated] = [power
-
supplied]

4.

Active Sources

a.

dependent current and voltage sources

5.

Passive Sign Conventions for current
-
direction vs. volt
age
-
drop

6.

Resistors

a.

mathematical model: v = ri (Ohm’s Law)

b.

series and parallel combinations

7.

Kirchoff’s conservation laws for

a.

charge/current

b.

energy/voltage

8.

Node analysis for unknown voltages using Kirchoff’s current Law

a.

analytical solutions

b.

numerical analys
is using MATLAB

9.

Loop analysis for unknown currents using Kirchoff’s voltage law

a.

analytical solutions

b.

numerical analysis using MATLAB

10.

Ideal Operational Amplifier (OpAmp) circuit model

a.

Infinite input resistance

b.

Infinite voltage gain

Chabot College

Course Outline for Engineering 43, Page
4

Fall 2010


c.

zero output resistance

11.

Superposition of independent voltage and current sources

12.

Thevenin’s theorem for an equivalent circuit consisting of

a.

an independent voltage source

b.


a series resistance

13.

Norton’s theorem for an equivalent consisting of

a.

an independent current source

b.

a parall
el resistance

14.

Maximum Load
-
Power Transfer analysis using Th
é
venin’s or Norton’s theorem

15.

Capacitors

a.

mathematical model: i = Cdv/dt

b.

series and parallel combinations

16.

Inductors

a.

mathematical model: v = Ldi/dt

b.

series and parallel combinations

17.

Operational amplifi
er resistor
-
capacitor circuits:

a.

ideal integrator

b.

ideal differentiator

18.

Linear circuit transient response:

a.

first order: exponential rise or decay

b.

second order

1)

over damped

2)

critically damped

3)

under damped

c.

numerical analysis using MATLAB

19.

AC steady state circui
t analysis:

a.

review of sinusoids

b.

phasor notation for currents and voltages

1)

magnitude

2)

phase angle

c.

impedance and admittance

d.

circuit diagrams in the frequency (phasor) domain

e.

circuit analysis in the frequency (phasor) domain

1)

nodal

2)

loop

3)

superposition

4)

thevenin

5)

norton

f.

numerical analysis using MATLAB

20.

Magnetically coupled networks:

a.

mutual inductance by Ampere’s and Faraday’s laws

b.

energy analysis

c.

current/voltage changes using the ideal transformer model

21.

Steady
-
State power analysis:

a.

calculating average power

b.

maximum
average
-
power transfer to a load

c.

effective, or RMS, values for current and voltage

d.

power
-
factor and phase
-
angle

e.

complex power, S

1)

real (average) power, P

2)

reactive power’s, Q

f.

single
-
phase, 3
-
wire circuits


Course Content (L
aboratory
):

Chabot College

Course Outline for Engineering 43, Page
5

Fall 2010



1.

Laboratory exercises t
o reinforce the concepts of linear circuit analysis

a.

Construct circuits using basic components, such as:

1)

circuit board (bread board)

2)

resistors

3)

capacitors

4)

inductors

5)

operational amplifiers

6)

cables, leads, and jumper
-
wires

b.

operate standard electrical engineerin
g instruments:

1)

oscilloscope

2)

function generator

3)

dc power supply

4)

analog volt
-
ohm
-
amp meter (VOAM)

5)

digital multi
-
meter (DMM)

6)

digital Resistance, Capacitance, Inductance (LCR) meter

c.

use DMM and oscilloscope measurements to calculates secondary electrical quant
ities
including

1)

power supplied and dissipated (confirm power
-
balance)

2)

verify multiple voltage
-
source superposition

3)

Thévenin equivalent: Voltage
-
Source, Series
-
Resistance

4)

inverting and noninverting operational amplifier circuit: Gain, Current/Voltage Satura
tion

5)

sinusoidal voltage
-
source driven RLC circuit the frequency dependent quantities of
impedance, current/voltage magnitude & phase

2.

Practical Laboratory Examination wherein students

a.

Construct a sinusoidal voltage
-
source driven RLC circuit per an electrica
l schematic diagram

b.

Measure component values using the LCR meter

c.

Measure rms voltages and currents using the DMM

d.

Measure Peak
-
to
-
Peak Voltages, and waveform time
-
shifts using the oscilloscope

e.

Calculate reactances from the DMM measurements

f.

Calculate Magnitu
de and Phase
-
Angles from the oscilloscope measurements


Methods of Presentation:

1.

Formal lectures using PowerPoint and/or WhiteBoard presentations

2.

Circuit Laboratory demonstrations

3.

Computer demonstrations

4.

Reading from the text

5.

Laboratory use of computers

6.

C
l
ass discussion of problems, solutions, and student’s questions


Assignments and Methods of Evaluating Student Progress:



1.

Typical Assignments

a.

Read chapter
-
7 in the text on the phasor
-
domain analysis of sinusoidal steady
-
state circuits

b.

Complete exercises fr
om the text book, or those created by the instructor

1)

Use both nodal analysis and mesh analysis to find Vo in the circuit shown below.

Chabot College

Course Outline for Engineering 43, Page
6

Fall 2010



2)

Find v
C
(t) and i
L
(t) for t > 0 in the circuit shown below.


3)

Find the outp
ut voltage for the ideal operational amplifier circuit shown in the diagram
below


4)

Conduct the Laboratory Exercise on Thevenin equivalent Circuits as described in the
laboratory instructions. Assemble the circuit, and then use the voltage
-
supply and digit
al
multimeter to determine the Thévenin resistance by short
-
circuit current and open
-
circuit
voltage, and by source deactivation.


2.

Methods of Evaluating Student Progress

a.

Weekly Homework Assignments

b.

Weekly Hands
-
on Laboratory Exercises

c.

Practical Laboratory

Examination

d.

Written Examinations

e.

Written Final Examination



Chabot College

Course Outline for Engineering 43, Page
7

Fall 2010


Textbook(s) (Typical):


Basic Engineering Circuit Analysis,
9th Edition, J. David Irwin, R. Mark Nelms, John
-
Wiley,
2008


Electric Circuits,
8/E, James W. Nilsson, Susan Riedel, Prentice Hall, 2
008


Engineering Circuit Analysis,
7th Edition, William H. Hayt, Jack Kemmerly, Steven M. Durbin,
McGraw
-
Hill 2007


Introduction to Electric Circuits
, 7th Edition, Richard C. Dorf, James A. Svoboda, John
-
Wiley,
2006


Fundamentals of Electric Circuits,
4th
Edition, Charles K Alexander, Matthew Sadiku,
McGraw
-
Hill, 2009


Special Student Materials:


None













Bruce Mayer, PE •
C:
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Revised 08/2
2
/2009