ECE 2212
PROBLEM SET 4
S. G. Burns
Due:
Wednesday, 15 February 2017
Note 1: I strongly encourage
that you start this problem set in a timely manner since there are
SPICE simulations which need to be
submitted!
Note 2: When a SPICE
simulation is required, your solution must include the circuit, model parameters
if changed from the default
values, and the relevant plots(s).
Note 3: I have been known to
collect homework design problems directly as part of the Quiz!!!
Note 4: You should be able
to solve Problems 1 through 4 with class topics through Friday, 10
February. Problem 5, requiring a bridge
rectifier, topic support will be discussed on Monday, 13 February,
along with a heat sink thermal mode Problem 6.
1.
Text 3.20 Parts (a) and (b) only. Verify your analytical answer with a SPICE
simulation. You will need to modify the
default
DBREAK
diode model for n
and IS.
2.
Text 3.19. Note the log10 (ID) versus
VD plot. This is very similar
to the parameter extraction you will address Experiment 4, 16 February. In addition to the calculations based on
Figure P3.19, generate the SPICE model and
plot of the log10(ID) versus VD characteristic for the diode and compare to
Figure P3.19.
3.
Text 3.66 Part (a) assumes
you assume the diode switches from OFF to ON when the diode voltage is zero
volts. Part (b) of problem assumes you
use the diode model that just includes a 0.65 volt battery when the diode
switches from OFF to ON. The best approach is to draw out each circuit and then
look for any potential contradictions with the diode model and circuit when you
assume a diode is either ON or OFF. Sketching a piece-wise linear I-V
characteristic is one approach to piece-wise linear problems. Prepare a table
to summarize your results.
4.
Based on an old quiz problem.
You are to design a battery charger for safe operation in a damp garage environment to use
for charging your 12 VDC car battery.

Design specifications include:
(a)
Input
is a 110rms
VAC. (VP=110x
) at 60 Hz from a three wire service that meets
the National Electrical Code.
(b)
Output
is a nominal 12 volts VDC at the cathode of the diode.
(c)
Specify
a resistor, R, to
limit the maximum battery charging current to 10 amperes into the 12 volt car
battery assuming the battery is completely dead (0 volts).
(d)
There
is no ripple voltage design specification.
Explain why this is unnecessary in this application.
(e)
The
battery charger case is metal.
(f)
Assume
a diode with VF = 0.7 V
(g)
The fuse in the primary circuit is to protect the power
supply from a short-circuit at the battery terminals either from total battery
failure or accidentally short
circuiting the charging cable to ground. (For
example, dropping a wrench across the battery terminals-oops!).
(h)
A
voltage regulator is not required
Your Design must include:
Well-labeled circuit diagram including the identification of the incoming “hot”, “neutral”, and “ground wires (U.S.
standards) including the National Electric Code color coding of these wires and
also show the correct color-coded wiring for a standard grounded duplex
receptacle and plug.
i.
Key
design equations and supporting calculations
ii.
Component
specifications including:
· Transformer-turns ratio
· Diode-current and power ratings
· Your assessment and short discussion as to
whether the laboratory 1N4001 diodes could be used
· Value for R1 serving as a current limiting
resistor
· Current rating of a fuse in the primary circuit
to protect the power supply against a short circuit condition at the battery
terminal.
5.
Similar to an old quiz
problem. Design a +40 volt dc power supply for your sound system. Your sound system requires a 400 watt capability. The power supply is energized from a
three-wire 110 Vrms 60 Hz power line
that meets the National Electric Code (NEC).
The system
block diagram and design specifications are given below.

· Input
is a 110 Vrms 60 Hz.
· Output
voltage is 40 volts, unregulated.
· Maximum
allowable ripple is 2%
· Use
a full-wave bridge rectifier.
· Use
a transformer
· Assume
diodes with VF = 0.7 volts
Your design should
include:
Ø Well-labeled circuit diagram of what goes
in the “Your Design” box. There should
be enough detail such that someone could build an operational prototype. Polarities of key components are important
Ø Key
design equations and supporting calculations.
Show your work!
Ø Component
specifications including:
(a)
Transformer-turns ratio
(b)
Effective value of the audio system load
resistor (speaker impedance)
and load current for a 400 watt, 40 volt system.
(c)
Capacitor value to satisfy the 2% ripple voltage specification.
(d)
Bridge rectifier diode-current and power
ratings.
(e)
Correctly located primary circuit fuse and
its rating.
(f) Correct (NEC specified safe wiring) to the
three wire power
line receptacle.
6.
A 10 volt avalanche diode
has a thermal resistance of θJC = 4°C/watt.
The maximum junction temperature is 175°C operating at an ambient temperature
of TA=40°C. A heat sink with
6°C/watt of thermal resistance from the sink to ambient is used but must be
electrically isolated from the diode case with a thin mica washer having a
thermal resistance of 2°C/watt. See the
figure for an idea as to the heat flow path.
What is the maximum value of IZ and illustrate using a sketch
of the derating curve.

Since we are talking about
converting AC to DC (you have seen this one before):

All of you are now far enough along in your
engineering studies to appreciate a full-blown version of Murphy’s Laws





I have been emphasizing units and
unit conversion throughout the semester.
Here are some additional conversion factors you should be aware of. They are best reviewed over a beverage of
your choice. Sorry, it doesn’t get any
better than this.
SPECIAL UNITS AND
CONVERSION FACTORS
Ratio of an igloo's
circumference to its diameter: Eskimo Pie
2000 pounds of Chinese
soup: Won Ton
1 millionth of a
mouthwash: 1 microScope
Time between slipping on
a banana peel and smacking the pavement: 1 bananosecond
Weight an evangelist
carries with God: 1 billigram
Time it takes to sail 220
yards at 1 nautical mile per hour: Knot-furlong
365.25 days of drinking a
low-calorie beverage of your choice: 1 lite-year
16.5 feet in the Twilight
Zone: 1 Rod Serling
Half of a large
intestine: 1 semicolon
1,000,000 aches: 1 Megahurts
Basic unit of laryngitis:
1 hoarsepower
Shortest distance between
two jokes: A straight line
454 graham crackers: 1
pound cake
1 millionth of a phone: 1
microphone
1 million phones: 1
megaphone
1 million bicycles: 2
megacycles
2000 mockingbirds: two kilomockingbirds(This
is a bit subtle from an English literature class)
10 cards: 1 decacards
1 kilogram of falling
figs: 1 Fig Newton
1000 grams of wet socks:
1 literhosen
1 millionth of a fish: 1
microfiche
1 trillion pins: 1
terrapin
10 rations: 1 decoration
100 rations: 1 C-ration
2 monograms: 1 diagram
8 nickels: 2 paradigms
2.4 statute miles of
intravenous surgical tubing at Yale University Hospital: 1 IV League
100 senators: Not 1
decision
I suppose I should
apologize for the quality of these jokes, but I won’t!