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. 

 

DiodeThermalDiagram

 

 

 

 

 

 

 

 

 

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

ProblemSet5cartoon

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

Murphy.jpg

murphy1

murphy2

murphy3

murphy4.jpg

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!