POWER AMPLIFIERS. 1. Explain what are classes A, B, AB and C amplifiers in terms of DC biasing using a MOSFET drain characteristic.
|
|
- Leonard Austin
- 5 years ago
- Views:
Transcription
1 CTONIC 3 XCI OW AMII. xpla what are classes A, B, AB and C amplifiers terms f DC biasg usg a MOT dra characteristic.. efer t the graphs f page and the table at the tp f page 3 f the thery ntes t answer the fllwg questins: A) Hw des efficiency vary with signal level? B) In classes B and AB, des efficiency vary with the type f wavefrm used? xpla. C) What wavefrm prduces the wrst case pwer dissipatin f the pwer transistrs? xpla. D) r what signal level is the pwer supply stressed the mst? xpla ) r what signal level are the pwer transistrs stressed the mst? xpla 3. xpla what crssver distrtin is and what causes it class B amplifiers? 4. Hw des class AB biasg reduce crssver distrtin? 5. xpla what harmnic distrtin is. 6. When feedback is used with an p amp, expla hw crssver distrtin is reduced and hw the p amp frequency respnse will affect the amunt f distrtin. 7. xpla why dides r a B multiplier are better than a simple resistr t bias a (BJT) pushpull stage class AB. 8. efer t the circuit diagram n the next page and the MOT transfer curves shwn belw. A) Assumg that the MOT's have a G(TH) that ranges frm t, determe the values f,, and that are apprpriate allw fr safety marg, say G adjustment range f 0.5 t.5. Assume W pts are used B) If D (ON) 0,3Ω fr the MOT's when is imum, determe the peak AC values f, OA, v gs3 and v gs6 and I OA. Assume MOT s heat up t 5 C use 5 C MOT curve. C) rm values btaed part B, calculate and the imum efficiency f this amplifier and f each MOT assumg a sewave put. pecify at what put signal level the pwer transistrs will dissipate imum pwer. D) epeat questin C fr a square wave put. ) What is the effect f the. µ capacitr n the ga respnse f the amplifier? C. auril wer Amplifier xercise ev. 5/5/03 age
2 CTONIC 3 XCI 35 5 G k Q3 Q Q 35 0K 00 p I OA OA 4Ω.µ 0k 00k 5 G Q4 Q5 Q6 5 G k ketch a bridge pwer amplifier, expla hw it wrks and als expla why it quadruples the imum O/ pwer. 0. ketch a bridgeparallel pwer amplifier, expla hw it wrks and expla what the advantage is ver the simple bridge amplifier. C. auril wer Amplifier xercise ev. 5/5/03 age
3 CTONIC 3. XCI B B ut 8 Ω B B A) rm the clippg vltage graph the data sheets, determe the imum unclipped O/ vltage acrss the lad and then cmpute the imum O/ pwer (assume sewave put) and cmpare it agast the typical value specified the data sheets. B) What is the pwer cnsumptin f the abve amplifier at the imum pwer level fund abve? Assume sewave put. Determe the imum heat sk resistance required at T A 30 C assumg that the fur amplifiers are munted n a sgle heat sk with 0. C/W sulatrs. C) If the put signal ranges frm 0 t rms, determe all resistrs required t prvide imum O/ pwer t the speaker. Assume sewave put and allw fr 0% mre ga than required mimum t ensure imum pwer is achieved. D) If all s and s have % tlerance, what is the imum current imbalance between tw parallel amplifiers? ) What is the imum current imbalance caused by DC ffsets f the s between tw parallel amplifiers? ) T slve the current imbalance caused by DC ffsets, add an AC cuplg capacitr t the put and als sert a capacitr series with all s. Calculate prper values fr an audi signal and expla hw that reduces the DC current imbalance parallel amplifiers. G) ketch the ga respnse f the vertg amplifiers and that f the nnvertg amplifier. Include the effect f the AC cuplg capacitr used with the frntend buffer bth ga respnses. C. auril wer Amplifier xercise ev. 5/5/03 age 3
4 CTONIC 3 XCI 8. A) 35 5 G.06 7 k Q Q3 Q K 00 p I A t 4.3.µ 0k I B k 4 Ω Q G 0.4. T calculate and assume matched MOT s, equal G values, this entails I A I B and I 0 and a range f current f 0.4 t.088 thrugh and k 67.9k et 4k then 4k 74k 0.7 k Q5 0.5 Q6 67.9k 6.9k 4.6k 50k When MOT s are mismatched, G values are different, has t absrb the difference between I A and I B that is I A I B I. shuld be selected such as nt t set t clse t 35 and nt t clse t 0, the wrst case beg 0. et 0, therefre TA 4.3 ±0 4.3 t 4.3 which is a safe range. 0 5k et 0k and verify that imum current is nt excessive. W W 0k 50k I I 7.07 fr and I fr 4.3 5k k k 4k 4.3 Wrst case scenaris are shwn beside. One must ensure I t be belw imum values calculated abve. Any part f the pt that carries mre than limit becmes a ht spt that may be damaged. C. auril wer Amplifier xercise ev. 5/5/03 age 4
5 CTONIC B) 3.56 I 8.4 A XCI AC GOUND 5 G p p k Q p O Q3 0K 00 p 0p 0 I OA Q p p 4.53p 0p 35 0A 3.56 p p.µ 0k.33p 0 OA p 0 0p 00k 8.4 4Ω 5 G 0p Q4 p p k Q5 p ON Q6 5 G AC GOUND 8.4 DC bias level p C. auril wer Amplifier xercise ev. 5/5/03 age 5
6 CTONIC 3 8 C) r sewave put see equatins and graph n page f thery ntes. XCI π 35 π W dri π π dri W 4 4 Q Q W 3.03W per MOT π Q ccurs at 35.8 and.8 π π π η dri % 4 4 peak 8 D) r squarewave put see equatins and graph n page f thery ntes. Q W ccurs at Q Q dri η dri % dri W W 38.3W peak and.75 per MOT 8 ) A C Z πc C 3.6 Hz C C 0 db/dec 9A) Use lwer saturatin vltage, that is AT m U CI 3.6 Hz 0 db p The data sheets state 50W typical O/ pwer fr an 8Ω lad with 35 supplies 63.6p fr THD < %. We calculated 63.6W (fr sewave signal) per amplifier at the lwest clippg level which prduces 3.p a higher THD. 3.p B) 8 Ω p sat The lad vltage is OAD 64.4*8/(8) The lad seen by each amplifier O/ is a grunded 8.Ω lad Q 8.Ω 5. 8W I This crrespnds t 63.W per amplifier delivered t the lad. C. auril wer Amplifier xercise ev. 5/5/03 age 6
7 CTONIC 3 XCI p Ω 3.8p The data sheets state 50W typical O/ pwer fr an 8Ω lad with 35 supplies fr THD < %. We calculated 63.W (fr sewave signal) per amplifier at the lwest clippg level which prduces a THD higher than %. π Q IC W π 8. Q dri dri peak at O / r drive level W per M 3886 ccurs at π 35.8 π W per M 3886 ccurs at O / r drive level The ttal pwer cnsumptin is therefre 4 * W 50 C J 30.65W C/W C 0. C/W 30.65W C/W INUATO 0. C/W 3. C The imum heat sk resistance is θ A 0.68 C / W 30.65W 30.65W C/W C/W 30 C 0. C/W 0. C/W.6W HAT INK θ A 83. C The abve value was btaed assumg a sewave put, therefre practice the pwer dissipatin may exceed the value we have calculated. T be safe, we shuld use a heat that has less than half f the abve calculated thermal resistance. A B) A 3. rms Nn vertg amp A vertg amp A / The ga value itself is nt critical, but matchg f the vertg and nnvertg gas is very critical, therefre let us use a ga f 5 / and % tlerance resistrs fr and. The balancg resistrs are nt critical, they are there just t mimize the O/ DC ffset. C. auril wer Amplifier xercise ev. 5/5/03 age 7
8 CTONIC 3 XCI k % 35 M k % k 0. % 48k % 50k % k 0. % 8 Ω k % k % M k 0. % 48k 0. % 50k 0. % k % D) Usg the frmula frm the ntes, we have TO 4 nm al I 00.88A I I I I lvg fr the abve tw equatins we have I 4.6 A and I 3.33 A. Mismatch f the ga settg resistrs and causes AC current imbalance between parallel amplifiers. ± ± I 48k ± 0m ± 0. µ 48k ± k 50k ± 0m ± 0. µ 50k ± 0. 7 k ) i i fr balanced puts Nnvertg amp Invertg amp A A 0A.596A 0A.7A.7A As yu can see, DC ffsets can cause a large DC current t flw between tw parallel amplifiers. T reduce the imum DC current ne can crese the W resistrs r resrt t the scheme used step C. auril wer Amplifier xercise ev. 5/5/03 age 8
9 CTONIC 3 ) et s use a cutff frequency f 5 Hz s we d nt attenuate audi signals. All f the C s will trduce a cutff frequency C 5.9 µ 5 std C π C π π 5 k µ C XCI k % 35 % % 35 k % 0k % 5 u % u %.5 u % 4 k % k % 48k % 35 % 8 Ω ut % 50k % 35 k % k % 5 u % u % k % 48k % 50k % k % Nnvertg amp Invertg amp 9.6m 9.60m 48k ± 0m ± 0.µ 48 ± 9.6m 50k ± 0m ± 0.µ 50k ± 0m 0 96A 0A 96A 0.A 0A 0.A 0 0m 0m A picture is wrth a 000 wrds Nw wrst case DC currents are reasnable. NOT: One needs the put DC blckg capacitr shwn abve t remve any DC cmpnent frm the signal, therwise the lad may have t absrb a large DC current. ) Ga espnse f put amplifier ( ) ( ) C C C C 0 p ω C p 3.33 r / s C 5. 3 Hz C C 5µ 0k 0 db/dec 0 db/dec 0 db/dec C. auril wer Amplifier xercise ev. 5/5/03 age 9
10 CTONIC 3 Ga espnse f vertg amplifiers k, 50k, C 5 µ ( ) ( ) C C C 0 db/dec 0 db/dec 0 db/dec 0 OG XCI 7.96 db The H frequency ga will start drppg ff because f the GBW f the s. k HI β ( H ) GBW GBW 8M khz k 50k 0 db/dec 40 db/dec 7.96 db khz with put amplifier respnse cmbed 0 db/dec Ga espnse f nnvertg amplifiers k, 48k, C 5 µ ( ) ( ) C C C C C C 0 db/dec 0 db/dec ( ) 0. Hz C ( ) 0 OG 0. Hz 0 db/dec 7.6 db The H frequency ga will start drppg ff because f the GBW f the s. k HI β ( H ) GBW GBW 8M 30 khz k 48k 7.6 db 0. Hz 0 db/dec 40 db/dec with put amplifier cluded 30 khz 0 db/dec 0 db/dec C. auril wer Amplifier xercise ev. 5/5/03 age 0
Bicycle Generator Dump Load Control Circuit: An Op Amp Comparator with Hysteresis
Bicycle Generatr Dump Lad Cntrl Circuit: An Op Amp Cmparatr with Hysteresis Sustainable Technlgy Educatin Prject University f Waterl http://www.step.uwaterl.ca December 1, 2009 1 Summary This dcument describes
More informationEdexcel GCSE Physics
Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns
More informationECEN 4872/5827 Lecture Notes
ECEN 4872/5827 Lecture Ntes Lecture #5 Objectives fr lecture #5: 1. Analysis f precisin current reference 2. Appraches fr evaluating tlerances 3. Temperature Cefficients evaluatin technique 4. Fundamentals
More informationChapter 30. Inductance
Chapter 30 nductance 30. Self-nductance Cnsider a lp f wire at rest. f we establish a current arund the lp, it will prduce a magnetic field. Sme f the magnetic field lines pass thrugh the lp. et! be the
More informationBASIC DIRECT-CURRENT MEASUREMENTS
Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard
More information1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.
PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce
More informationPhysics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018
Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and
More informationOP AMP CHARACTERISTICS
O AM CHAACTESTCS Static p amp limitatins EFEENCE: Chapter 5 textbk (ESS) EOS CAUSED BY THE NUT BAS CUENT AND THE NUT OFFSET CUENT Op Amp t functin shuld have fr the input terminals a DC path thrugh which
More informationLecture 02 CSE 40547/60547 Computing at the Nanoscale
PN Junctin Ntes: Lecture 02 CSE 40547/60547 Cmputing at the Nanscale Letʼs start with a (very) shrt review f semi-cnducting materials: - N-type material: Obtained by adding impurity with 5 valence elements
More informationThree charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).
Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)
More informationMODULE TITLE : ELECTRONICS TOPIC TITLE : AMPLIFIERS LESSON 1 : FEEDBACK
MODULE TITLE : ELECTONICS TOPIC TITLE : AMPLIFIES LESSON : FEEDBACK EL - 3 - INTODUCTION This lessn trduces the ideas f negative feedback, which we shw can vercme the disadvantages f wide parameter variat
More informationRevision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax
.7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical
More informationSections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.
Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage
More informationRelationships Between Frequency, Capacitance, Inductance and Reactance.
P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead
More informationSynchronous Motor V-Curves
Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel
More informationZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit.
EEL6246 Pwer Electrnics II Chapter 6 Lecture 6 Dr. Sam Abdel-Rahman ZVS Bst Cnverter The quasi-resnant bst cnverter by using the M-type switch as shwn in Fig. 6.29(a) with its simplified circuit shwn in
More informationAP Statistics Notes Unit Two: The Normal Distributions
AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).
More information11. DUAL NATURE OF RADIATION AND MATTER
11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the
More informationData Sheet. ACPL-8x7 Multi-Channel Full-Pitch Phototransistor Optocoupler. Description. Features. ACPL-827 pin layout.
ACPL-8x7 Multi-Channel ull-pitch Phttransistr Optcupler Data Sheet Lead (Pb) ree RHS 6 fully cmpliant RHS 6 fully cmpliant ptins available; -xxxe dentes a lead-free prduct Descriptin The ACPL-827 is a
More informationGENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin
GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS J.e. Sprtt PLP 924 September 1984 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.
More informationLab 11 LRC Circuits, Damped Forced Harmonic Motion
Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether
More informationECE 2100 Circuit Analysis
ECE 00 Circuit Analysis Lessn 6 Chapter 4 Sec 4., 4.5, 4.7 Series LC Circuit C Lw Pass Filter Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 00 Circuit Analysis Lessn 5 Chapter 9 &
More informationMODULE TITLE : OPERATIONAL AMPLIFIERS TOPIC TITLE : FILTERS LESSON 1 : FILTERS
MODULE TITLE : OPEATIONAL AMPLIFIES TOPIC TITLE : FILTES LESSON : FILTES OA - 4 - Teesside University 0 INTODUCTION An electrical filter is a device which is designed t pass sme frequencies and reject
More informationSFDMB3638F. Specifications and Applications Information. orce LED Driver. Mass: 7 grams typ. 10/15/08 Preliminary. Package Configuration
Specificatins and Applicatins Infrmatin 1/1/8 Prelimary Smart Fr rce LED Driver The ERG Smart Frce Series f LED Drivers are specifically designed fr applicatins which require high efficiency, small ftprt
More informationLecture 20a. Circuit Topologies and Techniques: Opamps
Lecture a Circuit Tplgies and Techniques: Opamps In this lecture yu will learn: Sme circuit tplgies and techniques Intrductin t peratinal amplifiers Differential mplifier IBIS1 I BIS M VI1 vi1 Vi vi I
More information, which yields. where z1. and z2
The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin
More informationDefinition of Strain. Tutorial
Defit f Stra Tutrial Part 1. Defit f Stra Stra is the parameter used t quantify the defrmat f an bject. In igure 1B and 1C, ppsg frces are applied t each end f a rd with an rigal length f L. The applied
More informationPlan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations
STAPLE Physics 201 Name Final Exam May 14, 2013 This is a clsed bk examinatin but during the exam yu may refer t a 5 x7 nte card with wrds f wisdm yu have written n it. There is extra scratch paper available.
More informationDISCRETE SEMICONDUCTORS DATA SHEET. BF996S N-channel dual-gate MOS-FET. Product specification File under Discrete Semiconductors, SC07
DISCRETE SEMICONDUCTORS DATA SHEET File under Discrete Semicnductrs, SC7 April 1991 FEATURES Prtected against excessive input vltage surges by integrated back-t-back dides between gates and surce. DESCRIPTION
More informationCHAPTER 5. Solutions for Exercises
HAPTE 5 Slutins fr Exercises E5. (a We are given v ( t 50 cs(00π t 30. The angular frequency is the cefficient f t s we have ω 00π radian/s. Then f ω / π 00 Hz T / f 0 ms m / 50 / 06. Furthermre, v(t attains
More informationTransduction Based on Changes in the Energy Stored in an Electrical Field
Lecture 6-3 Transductin Based n Changes in the Energy Stred in an Electrical ield Department f Mechanical Engineering Example:Capacitive Pressure Sensr Pressure sensitive capacitive device With separatin
More informationCHM112 Lab Graphing with Excel Grading Rubric
Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline
More informationExperiment #3. Graphing with Excel
Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-
More informationPart One: Heat Changes and Thermochemistry. This aspect of Thermodynamics was dealt with in Chapter 6. (Review)
CHAPTER 18: THERMODYNAMICS AND EQUILIBRIUM Part One: Heat Changes and Thermchemistry This aspect f Thermdynamics was dealt with in Chapter 6. (Review) A. Statement f First Law. (Sectin 18.1) 1. U ttal
More informationChapter 9: Quantization of Light
Chapter 9: Quantizatin Light 9.1 Planck s Quantum Thery 9.1.1 Distinguish between Planck s quantum thery and classical thery energy The undatin the Planck s quantum thery is a thery black bdy radiatin.
More informationSupplementary Course Notes Adding and Subtracting AC Voltages and Currents
Supplementary Curse Ntes Adding and Subtracting AC Vltages and Currents As mentined previusly, when cmbining DC vltages r currents, we nly need t knw the plarity (vltage) and directin (current). In the
More informationSection I5: Feedback in Operational Amplifiers
Sectin I5: eedback in Operatinal mplifiers s discussed earlier, practical p-amps hae a high gain under dc (zer frequency) cnditins and the gain decreases as frequency increases. This frequency dependence
More informationTOPPER SAMPLE PAPER 2 Class XII- Physics
TOPPER SAMPLE PAPER 2 Class XII- Physics Time: Three Hurs Maximum Marks: 70 General Instructins (a) All questins are cmpulsry. (b) There are 30 questins in ttal. Questins 1 t 8 carry ne mark each, questins
More informationPhysics 102. Second Midterm Examination. Summer Term ( ) (Fundamental constants) (Coulomb constant)
ε µ0 N mp T kg Kuwait University hysics Department hysics 0 Secnd Midterm Examinatin Summer Term (00-0) July 7, 0 Time: 6:00 7:0 M Name Student N Instructrs: Drs. bdel-karim, frusheh, Farhan, Kkaj, a,
More informationOscillator. Introduction of Oscillator Linear Oscillator. Stability. Wien Bridge Oscillator RC Phase-Shift Oscillator LC Oscillator
Oscillatr Intrductin f Oscillatr Linear Oscillatr Wien Bridge Oscillatr Phase-Shift Oscillatr L Oscillatr Stability Oscillatrs Oscillatin: an effect that repeatedly and regularly fluctuates abut the mean
More informationIXD4902. Three-Terminal Negative Voltage Regulator FEATURES DESCRIPTION APPLICATIONS
Three-Terminal Negative Vltage Regulatr FEATURES Output Current up t 200 ma (350 ma max) Input Vltage Range -2.4 V - -16 V Output Vltage Range frm -2.5 V t -12 V (fixed values) Drput Vltage 400 mv @ 100
More informationDifferentiation Applications 1: Related Rates
Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm
More informationMECHANICS OF SOLIDS TORSION TUTORIAL 2 TORSION OF THIN WALLED SECTIONS AND THIN STRIPS
MECHANICS OF SOLIDS ORSION UORIAL ORSION OF HIN WALLED SECIONS AND HIN SRIPS Yu shuld judge yur prgress by cmpleting the self assessment exercises. On cmpletin f this tutrial yu shuld be able t d the fllwing.
More informationLead/Lag Compensator Frequency Domain Properties and Design Methods
Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin
More informationCHE 105 EXAMINATION III November 11, 2010
CHE 105 EXAMINATION III Nvember 11, 2010 University f Kentucky Department f Chemistry READ THESE DIRECTIONS CAREFULLY BEFORE STARTING THE EXAMINATION! It is extremely imprtant that yu fill in the answer
More informationEREC G5 Stage 2 Sub-group. Meeting No. 1
EREC G5 Stage 2 Sub-grup Meeting N. 1 Held at William Gilbert Meeting Rm, REEC Building, Sir William Siemens Huse, Princess Rad, Manchester, M20 2UR On Mnday 13th June 2016 10:30-14:30 Meeting Ntes Attendee
More informationSeries and Parallel Resonances
Series and Parallel esnances Series esnance Cnsider the series circuit shwn in the frequency dmain. The input impedance is Z Vs jl jl I jc C H s esnance ccurs when the imaginary part f the transfer functin
More informationSection 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law
Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential
More informationCurrent/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors
Indian Jurnal f Pure & Applied Physics Vl. 49 July 20 pp. 494-498 Current/vltage-mde third rder quadrature scillatr emplying tw multiple utputs CCIIs and grunded capacitrs Jiun-Wei Hrng Department f Electrnic
More informationLECTURES 4 AND 5 THREE-PHASE CONNECTIONS (1)
ECE 330 POWER CIRCUITS AND ELECTROMECHANICS LECTURES 4 AND 5 THREEPHASE CONNECTIONS (1) AcknwledgmentThese handuts and lecture ntes given in class are based n material frm Prf. Peter Sauer s ECE 330 lecture
More informationALUMINIUM ELECTROLYTIC CAPACITORS PG - LL9 Long Life Grade
Useful Life : Useful life is the perid f time which the capacitr takes t reach end-f-life Fr PG-LL9 capacitrs the useful life is estimated as 100 hurs at maximum rated temperature, ripple current and vltage
More informationPhysics 2010 Motion with Constant Acceleration Experiment 1
. Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin
More informationAP Physics Kinematic Wrap Up
AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x
More informationA Novel Isolated Buck-Boost Converter
vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,
More informationPart a: Writing the nodal equations and solving for v o gives the magnitude and phase response: tan ( 0.25 )
+ - Hmewrk 0 Slutin ) In the circuit belw: a. Find the magnitude and phase respnse. b. What kind f filter is it? c. At what frequency is the respnse 0.707 if the generatr has a ltage f? d. What is the
More informationChapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance
summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..
More informationCHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.
MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the
More informationIntroduction to Three-phase Circuits. Balanced 3-phase systems Unbalanced 3-phase systems
Intrductin t Three-hase Circuits Balanced 3-hase systems Unbalanced 3-hase systems 1 Intrductin t 3-hase systems Single-hase tw-wire system: Single surce cnnected t a lad using tw-wire system Single-hase
More informationT(s) 1+ T(s) 2. Phase Margin Test for T(s) a. Unconditionally Stable φ m = 90 o for 1 pole T(s) b. Conditionally Stable Case 1.
Lecture 49 Danger f Instability/Oscillatin When Emplying Feedback In PWM Cnverters A. Guessing Clsed Lp Stability Frm Open Lp Frequency Respnse Data. T(s) versus T(s) + T(s) 2. Phase Margin Test fr T(s)
More informationCopyright Paul Tobin 63
DT, Kevin t. lectric Circuit Thery DT87/ Tw-Prt netwrk parameters ummary We have seen previusly that a tw-prt netwrk has a pair f input terminals and a pair f utput terminals figure. These circuits were
More informationFIZIKA ANGOL NYELVEN JAVÍTÁSI-ÉRTÉKELÉSI ÚTMUTATÓ
Fizika angl nyelven emelt szint 0804 ÉRETTSÉGI VIZSGA 010. május 18. FIZIKA ANGOL NYELVEN EMELT SZINTŰ ÍRÁSBELI ÉRETTSÉGI VIZSGA JAVÍTÁSI-ÉRTÉKELÉSI ÚTMUTATÓ OKTATÁSI ÉS KULTURÁLIS MINISZTÉRIUM In marking
More informationA solution of certain Diophantine problems
A slutin f certain Diphantine prblems Authr L. Euler* E7 Nvi Cmmentarii academiae scientiarum Petrplitanae 0, 1776, pp. 8-58 Opera Omnia: Series 1, Vlume 3, pp. 05-17 Reprinted in Cmmentat. arithm. 1,
More informationALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change?
Name Chem 163 Sectin: Team Number: ALE 21. Gibbs Free Energy (Reference: 20.3 Silberberg 5 th editin) At what temperature des the spntaneity f a reactin change? The Mdel: The Definitin f Free Energy S
More informationInterference is when two (or more) sets of waves meet and combine to produce a new pattern.
Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme
More informationPLEASURE TEST SERIES (XI) - 07 By O.P. Gupta (For stuffs on Math, click at theopgupta.com)
A Cmpilatin By : OP Gupta (WhatsApp @ +9-9650 50 80) Fr mre stuffs n Maths, please visit : wwwtheopguptacm Time Allwed : 80 Minutes Max Marks : 00 SECTION A Questin numbers 0 t 0 carry mark each x x 5
More informationWeathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science
Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck
More informationExperiment 3 Inductors and Transformers
ENGR-4300 prg 006 Experiment 3 Experiment 3 nductrs and Transfrmers Purpse: Partly as preparatin fr the next prject and partly t help develp a mre cmplete picture f vltage surces, we will return t cnsiderg
More information4) What is the magnitude of the net electric field at the center of the square?
Fur charges are n the fur crners f a square. Q = +5C, Q = -0C, Q 3 = +5C, Q 4 = -0C. The side length f each side f the square is 3 m. Q Q ) What is the directin f the frce n Q due t ONLY Q 4? (a) up (b)
More informationUse a lens holder fabricated from SiC. SiC has a larger CTE than C-C, i.e. it is better matched to the SFL6.
Frm: Steve Sctt, Jinsek K, Syun ichi Shiraiwa T: MSE enthusiasts Re: MSE mem 101b: allwable thickness f Vitn sheet Nvember 25, 2008 Update frm MSE Mem 101b Let s assume: Vitn thickness = 1 mm Vitn mdulus
More informationQ1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.
Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther
More informationElectric Current and Resistance
Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current
More informationMANIPAL INSTITUTE OF TECHNOLOGY
MANIPAL INSTITUTE OF TECHNOLOGY MANIPAL UNIVERSITY, MANIPAL SECOND SEMESTER B.Tech. END-SEMESTER EXAMINATION - MAY 013 SUBJECT: ENGINEERING PHYSICS (PHY101/10) Time: 3 Hrs. Max. Marks: 50 Nte: Answer any
More informationChapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Tw Dimensins; Vectrs Vectrs and Scalars Additin f Vectrs Graphical Methds (One and Tw- Dimensin) Multiplicatin f a Vectr b a Scalar Subtractin f Vectrs Graphical Methds Adding Vectrs
More informationclicker 1/25/2011 All C s are 8.00 nf. The battery is 12 V. What is the equivalent capacitance? summary o
/5/0 summary C = ε / d = πε / ln( b / a ) ab C = 4πε 4πε a b a b >> a Capacitance Parallel plates, caxial cables, Earth Series and parallel cmbinatins Energy in a capacitr Dielectrics Dielectric strength
More information6. Frequency Response
6. Frequency esnse eading: Sedra & Sith: hater.6, hater 3.6 and hater 9 (MOS rtins, EE 0, Winter 0, F. Najabadi Tyical Frequency resnse an liier U t nw we have ignred the caacitrs. T include the caacitrs,
More information2. Find i, v, and the power dissipated in the 6-Ω resistor in the following figure.
CSC Class exercise DC Circuit analysis. Fr the ladder netwrk in the fllwing figure, find I and R eq. Slutin Req 4 ( 6 ) 5Ω 0 0 I Re q 5 A. Find i, v, and the pwer dissipated in the 6-Ω resistr in the fllwing
More informationQ1. A) 48 m/s B) 17 m/s C) 22 m/s D) 66 m/s E) 53 m/s. Ans: = 84.0 Q2.
Phys10 Final-133 Zer Versin Crdinatr: A.A.Naqvi Wednesday, August 13, 014 Page: 1 Q1. A string, f length 0.75 m and fixed at bth ends, is vibrating in its fundamental mde. The maximum transverse speed
More informationLITE-ON TECHNOLOGY CORPORATION
FEATURES 1. This specificatin shall be applied t phtcupler. Mdel N. LTV-816 as an ptin. 2. Applicable Mdels (Business dealing name) * Dual-in-line package : LTV816-V : 1-channel type / LTV826-V : 2-channel
More informationSupplementary Course Notes Adding and Subtracting AC Voltages and Currents
Supplementary Curse Ntes Adding and Subtracting AC Vltages and Currents As mentined previusly, when cmbining DC vltages r currents, we nly need t knw the plarity (vltage) and directin (current). In the
More informationECEN620: Network Theory Broadband Circuit Design Fall 2012
ECEN60: Netwrk Thery Bradband Circuit Design Fall 01 Lecture 16: VCO Phase Nise Sam Palerm Analg & Mixed-Signal Center Texas A&M University Agenda Phase Nise Definitin and Impact Ideal Oscillatr Phase
More informationECE 2100 Circuit Analysis
ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn
More informationPHYSICS Unit 3 Trial Examination
STAV Publishing Pty Ltd 005 PHYSICS Unit 3 Trial Examinatin SOLUTIONS BOOK Published by STAV Publishing Pty Ltd. STAV Huse, 5 Munr Street, Cburg VIC 3058 Australia. Phne: 6 + 3 9385 3999 Fax: 6 + 3 9386
More information(2) Even if such a value of k was possible, the neutrons multiply
CHANGE OF REACTOR Nuclear Thery - Curse 227 POWER WTH REACTVTY CHANGE n this lessn, we will cnsider hw neutrn density, neutrn flux and reactr pwer change when the multiplicatin factr, k, r the reactivity,
More informationDINGWALL ACADEMY NATIONAL QUALIFICATIONS. Mathematics Higher Prelim Examination 2009/2010 Paper 1 Assessing Units 1 & 2. Time allowed - 1 hour 30
INGWLL EMY Mathematics Higher Prelim Eaminatin 009/00 Paper ssessing Units & NTIONL QULIFITIONS Time allwed - hur 0 minutes Read carefull alculatrs ma NOT be used in this paper. Sectin - Questins - 0 (0
More informationThermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
More informationMore Tutorial at
Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,
More informationCHAPTER 17 COMPOSITES
CHAPTER 17 COMPOSITES EXERCISE 64, Page 373 1. Calculate the stiffness matrix (Q) and derive the (A), (B) and (D) matrices fr a sheet f aluminium 1 mm thick. The fllwing material prperties can be assumed:
More informationGeneral Amplifiers. Analog Electronics Circuits Nagamani A N. Lecturer, PESIT, Bangalore 85. Cascade connection - FET & BJT
Analg lectrnics Circuits Nagamani A N Lecturer, PST, Bangalre 85 mail nagamani@pes.edu General Amplifiers Cascade cnnectin - FT & BJT Numerical Cascde cnnectin arlingtn cnnectin Packaged arlingtn cnnectin
More informationQ1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?
Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)
More informationmaking triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=
Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents
More informationFlipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
More informationHow can standard heats of formation be used to calculate the heat of a reaction?
Answer Key ALE 28. ess s Law and Standard Enthalpies Frmatin (Reerence: Chapter 6 - Silberberg 4 th editin) Imprtant!! Fr answers that invlve a calculatin yu must shw yur wrk neatly using dimensinal analysis
More informationGeneral Chemistry II, Unit I: Study Guide (part I)
1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the
More informationDispersion Ref Feynman Vol-I, Ch-31
Dispersin Ref Feynman Vl-I, Ch-31 n () = 1 + q N q /m 2 2 2 0 i ( b/m) We have learned that the index f refractin is nt just a simple number, but a quantity that varies with the frequency f the light.
More informationModule 4: General Formulation of Electric Circuit Theory
Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated
More informationActivity Guide Loops and Random Numbers
Unit 3 Lessn 7 Name(s) Perid Date Activity Guide Lps and Randm Numbers CS Cntent Lps are a relatively straightfrward idea in prgramming - yu want a certain chunk f cde t run repeatedly - but it takes a
More informationEXAM #1 PHYSICAL SCIENCE 103 Spring, 2016
OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a
More informationEEO 401 Digital Signal Processing Prof. Mark Fowler
EEO 401 Digital Signal Prcessing Prf. Mark Fwler Intrductin Nte Set #1 ading Assignment: Ch. 1 f Prakis & Manlakis 1/13 Mdern systems generally DSP Scenari get a cntinuus-time signal frm a sensr a cnt.-time
More informationUGANDA ADVANCED CERTIFICATE OF EDUCATION INTERNAL MOCK 2016 PURE MATHEMATICS. 3 hours
P/ PURE MATHEMATICS PAPER JULY 0 HOURS UGANDA ADVANCED CERTIFICATE OF EDUCATION INTERNAL MOCK 0 PURE MATHEMATICS hurs INSTRUCTIONS TO CANDIDATES: Attempt ALL the EIGHT questins in sectin A and any FIVE
More informationPhys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1
Crdinatr: Nasser Wednesday, January 4, 007 Page: 1 Q1. Tw transmitters, S 1 and S shwn in the figure, emit identical sund waves f wavelength λ. The transmitters are separated by a distance λ /. Cnsider
More information