EE 2212

PROBLEM SET 4

S. G. Burns

Due:  Wednesday, 24 February

1.    Text 3.66.  Piecewise linear models should be used.   Part (a) assumes you assume the diode switches from OFF to ON when the diode voltage is zero volts. Part (b) assumes you use the diode model that just includes a 0.65 volt battery when the diode switches from OFF to ON. The best

systematic approach is to draw out each circuit and then look for any potential contradictions with the diode model and circuit when you assume adiode 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.

 

2.     Text 3.19.  Note the log10 (ID) versus VD plot.  In addition to the calculations based on Figure P3.19, generate the  SPICE model and plot of thelog10(ID) versus VD  characteristic for the diode and compare to Figure P3.19.  Refer to Slide 2 of the 10 February PPT “Diode Equation and Half-Wave Rectifier..

 

3.    Assume  a diode p-region is doped  NA= 5 x 1015 cm-3 and the diode n-region is doped ND= 8 x 1016 cm-3. Compute VJ (Diode turn-on voltage).  Repeat for NA= 3 x 1018 cm-3 and  the diode n-region is doped ND= 1 x 1017 cm-3.  Assume  ni= 1.0 x 1010 cm-3.   Refer to Slide 6 of the 8 and 10 February PPT “Energy Levels and Start Diodes”.

 

4.    Based on an old quiz problem related to half-wave rectifier design.  You may need your design if the cold weather continues.    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) when you first connect the charger.  A not uncommon occurrence over the last two weeks of sub-zero temperatures.

(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!).

 

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.    You are   to design a +9 volt and -9 volt dual voltage bench power supply  that you can use to power a  μA 741 operational amplifier.  This would replace the two 9-volt battery packs you are using in our lab. 


·       Input is a 110 Voltsrms  at 60 Hz.

·       Output voltages are +9 VDC and -9 VDC.

·       Maximum load current for each voltage is 50 mA

·       Maximum allowable ripple is 5% for each output voltage

·       Use two  full-wave bridge rectifiers with appropriately oriented diodes

·       Use one transformer with a single primary winding and two secondary windings

·       Assume diodes with VF = 0.7 Volts


Your design should include:

(a)            Well-labeled circuit diagram.  There should be enough detail such that someone could build a   prototype   without referring to any  reference material.  Polarities of key components are important

(b)           Key design equations and supporting calculations

    Component specifications including:

Transformer-turns ratio

Bridge rectifier diode-current and power ratings

Capacitor values to satisfy the ripple voltage specification

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

ProblemSet5cartoon

I will provide free lessons on how to use a slide rule via ZOOM .  It really helps you to understand log10 calculations.  BYOSR (Bring Your Own Slide Rule). 

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

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murphy1

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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 it takes to sail 220 yards at 1 nautical mile per hour: Knot-furlong

365.25 days of drinking a low-calorie fermented malt 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  (a film-based somewhat archaic approach to store written documents)

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

 

I suppose I should apologize for the quality of these  jokes, but I won’t!