Wp/Lmin. Wn/Lmin 2.5V
|
|
- Norman Little
- 6 years ago
- Views:
Transcription
1 UNIVERITY OF CALIFORNIA Cllege f Engneerng Department f Electrcal Engneerng and Cmputer cences Andre Vladmrescu Hmewrk #7 EEC Due Frday, Aprl 8 th, 0 Cry Prblem #.5V Wp/Lmn 0.0V Wp/Lmn n ut Wn/Lmn.5V Wn/Lmn C L Fgure Calculate the lgcal effrt f the crcut shwn n Fgure gven that WpWnWmn. If R and R are the PMO and NMO equvalent resstances respectvely, the equvalent eqp eqn resstance f the crcut durng pull-up and pull-dwn s respectvely R R + R // R eqlh eqp ( eqp eqn eqhl Reqn ( Reqp // Reqn Reqp Reqn R eq ReqLH ReqHL R + nce R the abve equatns gve R / Fr the equvalent resstance t be equal t that f the mnmum szed nverter (R, the nput transstrs shuld be made / tmes larger, ncreasng thus the nput capactance by / (cmpared t the mnmum szed nverter. Hence, the lgcal effrt f the crcut s g / Prblem # uppse we want t mplement tw lgc functns gven by FA+B+C and A+B+C+D. Assume bth true and cmplementary sgnals are avalable. a Implement these functns n dynamc CMO as cascaded stages s as t mnmze the ttal transstr cunt.
2 V DD V DD F A B C D F D A + B + C + D. b Dscuss any cndtns under whch ths mplementatn wuld fal t perate prperly. When A+B+C, F wll make a transtn ->0, whch cannt be appled drectly t the secnd stage. If D0 fr example, wll be dscharged at the begnnng f the evaluatn phase. Therefre wll have an ncrrect value (0 fr ths cmbnatn f nput sgnals. c Desgn an np-cmo mplementatn f the same lgc functns. Des ths desgn dsplay any f the dffcultes f part b? V DD V DD A B C F D The stages n np-cmo can be cascaded drectly snce every stage prduces the crrect sgnal transtn fr the ppste type f lgc cnnected t ts utput.
3 Prblem # a hw that the expressn fr n Eq..6 s equvalent t the ne n Eq.. ABC + ABC + ABC ABC + ABC + ABC ABC + ABC ( AB + BC + AC ( A + B + C ( A + B( A + B + C ABC + ( A + B( C + A B( A + B + C ( A C + A B + B C + A B( A + B + C b Cnvnce yurself that the crcut n Fg.. mplements Eq..6. ze the transstrs such that each stage (carry and sum has the same pull-up/pull-dwn strength as a mnmum-szed / nverter. Fnd the lgcal effrt fr each nput (cnsder the carry and sum stages separately Lgcal effrt: Carry A.67 A 6. B.67 B 6. C.77 C 6. um c Nw cnsder the mrrr adder n Fg..6. Make sure that yu understand what t des. ze the transstrs such that each stage (carry and sum has the same pull-up/pull-dwn strength as a mnmum-szed / nverter. Fnd the lgcal effrt fr each nput (cnsder the carry and sum stages separately. Hw des t cmpare t the archtecture n Fg..?
4 6 6 6 Lgcal effrt: Carry A / A 5/ B / B 5/ C 6/ C 5/ um We can see that the mrrr adder has lwer lgcal effrt fr all nputs except C. Hwever we shuld nt frget the extra ladng and delay f the addtnal nverters n the cmplementary archtecture. When thse are ncluded the mrrr adder wns verall. Prblem # a Assumng that all nputs f the crcut shwn n Fgure belw are ntally 0 durng the precharge phase and that all nternal ndes are at 0V, calculate the vltage drp n V, f A changes t (V DD.5V durng the evaluate phase. It s gven that V tn0 0.5V, F 0.6V and γ0.v 0.5. Hnt: Dn t frget the bdy effect.
5 .5V CLK A M V CL0fF B M C5fF 0 M0 C5fF CLK Fgure Assumng that V <, the capactr C s charged t a vltage V, whch s the maxmum Δ ut V tn V vltage fr whch M cnducts. cnductn and cut-ff: V V tn V V ( F + VB F tn0 + γ s calculated usng the equatn that s vald at the edge f nce the bulk f the NMO transstrs s cnnected t grund, the prevus equatn can be rewrtten as: V V V Vtn0 + γ( F + V F V V Vtn0 + γ F γ( F + V ( V V Vtn0 + γ F γ ( F + V.78V V.8V V. 7V (We accept nly the lwer slutn f the quadratc equatn, snce after reachng ths vltage the transstr desn t cnduct and can t thus reach the hgher value. Hence, charge cnservatn yelds: V C V + C V CL DD L CLΔ V CV ΔV C V / CL 0. V 5
6 nce V V V, V tn 0. 8V. Hence, ur assumptn abut tn Δ V < V 0. V was crrect. tn 8 b Nw calculate the vltage drp n V f bth A and B change t (under the abve cndtns. mlarly t (a, capactrs C and C wll be charged t a fnal vltage f.7v. Hence, charge cnservatn gves: C ΔV C V + C V ΔV 0. 85V > V L Hence, ur assumptn that C s Δ V VDD, where C s C + C Cs + CL Hence, 0 Δ V.5V 0. 8V tn Δ V ut < Vtn desn t hld anymre and ΔV s calculated as fllws:. c What s the maxmum number f transstrs that can be cnnected n seres t M and M (ncludng M and M, excludng M0 f the utput shuld nt fall belw 0.9V durng the evaluate phase? Assume that each ne f the new transstrs has the same ntrnsc capactance (t grund as M and M (C5fF. The fnal value f V 0. 9V crrespnds t Δ V. 6V > Vtn. Hence, the fllwng equatn s vald: Cs Δ V VDD ( C + C s L where C s the ttal ntrnsc capactance t be charged. The wrst case s when all f the cnnected transstrs cnduct and thus C s NC (where N the number f the transstrs. In ths case ( gves: Δ V ( NC + C V NC L DD DD NC( V Δ V ΔV C.6V 0 ff N 7., hence N V 5 ff L 6
CHAPTER 3 ANALYSIS OF KY BOOST CONVERTER
70 CHAPTER 3 ANALYSIS OF KY BOOST CONERTER 3.1 Intrductn The KY Bst Cnverter s a recent nventn made by K.I.Hwu et. al., (2007), (2009a), (2009b), (2009c), (2010) n the nn-slated DC DC cnverter segment,
More informationFeedback Principle :-
Feedback Prncple : Feedback amplfer s that n whch a part f the utput f the basc amplfer s returned back t the nput termnal and mxed up wth the nternal nput sgnal. The sub netwrks f feedback amplfer are:
More informationME2142/ME2142E Feedback Control Systems. Modelling of Physical Systems The Transfer Function
Mdellng Physcal Systems The Transer Functn Derental Equatns U Plant Y In the plant shwn, the nput u aects the respnse the utput y. In general, the dynamcs ths respnse can be descrbed by a derental equatn
More informationSection 3: Detailed Solutions of Word Problems Unit 1: Solving Word Problems by Modeling with Formulas
Sectn : Detaled Slutns f Wrd Prblems Unt : Slvng Wrd Prblems by Mdelng wth Frmulas Example : The factry nvce fr a mnvan shws that the dealer pad $,5 fr the vehcle. If the stcker prce f the van s $5,, hw
More informationIntroduction to Electronic circuits.
Intrductn t Electrnc crcuts. Passve and Actve crcut elements. Capactrs, esstrs and Inductrs n AC crcuts. Vltage and current dvders. Vltage and current surces. Amplfers, and ther transfer characterstc.
More informationPHYSICS 536 Experiment 12: Applications of the Golden Rules for Negative Feedback
PHYSICS 536 Experment : Applcatns f the Glden Rules fr Negatve Feedback The purpse f ths experment s t llustrate the glden rules f negatve feedback fr a varety f crcuts. These cncepts permt yu t create
More informationChapter 7. Systems 7.1 INTRODUCTION 7.2 MATHEMATICAL MODELING OF LIQUID LEVEL SYSTEMS. Steady State Flow. A. Bazoune
Chapter 7 Flud Systems and Thermal Systems 7.1 INTODUCTION A. Bazune A flud system uses ne r mre fluds t acheve ts purpse. Dampers and shck absrbers are eamples f flud systems because they depend n the
More informationDesign of Analog Integrated Circuits
Desgn f Analg Integrated Crcuts I. Amplfers Desgn f Analg Integrated Crcuts Fall 2012, Dr. Guxng Wang 1 Oerew Basc MOS amplfer structures Cmmn-Surce Amplfer Surce Fllwer Cmmn-Gate Amplfer Desgn f Analg
More informationFaculty of Engineering
Faculty f Engneerng DEPARTMENT f ELECTRICAL AND ELECTRONIC ENGINEERING EEE 223 Crcut Thery I Instructrs: M. K. Uygurğlu E. Erdl Fnal EXAMINATION June 20, 2003 Duratn : 120 mnutes Number f Prblems: 6 Gd
More informationCircuits Op-Amp. Interaction of Circuit Elements. Quick Check How does closing the switch affect V o and I o?
Crcuts Op-Amp ENGG1015 1 st Semester, 01 Interactn f Crcut Elements Crcut desgn s cmplcated by nteractns amng the elements. Addng an element changes vltages & currents thrughut crcut. Example: clsng a
More informationANALOG ELECTRONICS 1 DR NORLAILI MOHD NOH
24 ANALOG LTRONIS TUTORIAL DR NORLAILI MOHD NOH . 0 8kΩ Gen, Y β β 00 T F 26, 00 0.7 (a)deterne the dc ltages at the 3 X ternals f the JT (,, ). 0kΩ Z (b) Deterne g,r π and r? (c) Deterne the ltage gan
More informationSIMULATION OF THREE PHASE THREE LEG TRANSFORMER BEHAVIOR UNDER DIFFERENT VOLTAGE SAG TYPES
SIMULATION OF THREE PHASE THREE LEG TRANSFORMER BEHAVIOR UNDER DIFFERENT VOLTAGE SAG TYPES Mhammadreza Dlatan Alreza Jallan Department f Electrcal Engneerng, Iran Unversty f scence & Technlgy (IUST) e-mal:
More informationSpring 2002 Lecture #17
1443-51 Sprng 22 Lecture #17 r. Jaehn Yu 1. Cndtns fr Equlbrum 2. Center f Gravty 3. Elastc Prpertes f Slds Yung s dulus Shear dulus ulk dulus Tday s Hmewrk Assgnment s the Hmewrk #8!!! 2 nd term eam n
More informationIII. Operational Amplifiers
III. Operatnal Amplfers Amplfers are tw-prt netwrks n whch the utput vltage r current s drectly prprtnal t ether nput vltage r current. Fur dfferent knds f amplfers ext: ltage amplfer: Current amplfer:
More informationEE 204 Lecture 25 More Examples on Power Factor and the Reactive Power
EE 204 Lecture 25 Mre Examples n Pwer Factr and the Reactve Pwer The pwer factr has been defned n the prevus lecture wth an example n pwer factr calculatn. We present tw mre examples n ths lecture. Example
More informationEE 221 Practice Problems for the Final Exam
EE 1 Practce Prblems fr the Fnal Exam 1. The netwrk functn f a crcut s 1.5 H. ω 1+ j 500 Ths table recrds frequency respnse data fr ths crcut. Fll n the blanks n the table:. The netwrk functn f a crcut
More information55:041 Electronic Circuits
55:04 Electrnc Crcuts Feedback & Stablty Sectns f Chapter 2. Kruger Feedback & Stablty Cnfguratn f Feedback mplfer S S S S fb Negate feedback S S S fb S S S S S β s the feedback transfer functn Implct
More informationConduction Heat Transfer
Cnductn Heat Transfer Practce prblems A steel ppe f cnductvty 5 W/m-K has nsde and utsde surface temperature f C and 6 C respectvely Fnd the heat flw rate per unt ppe length and flux per unt nsde and per
More informationChapter 3, Solution 1C.
COSMOS: Cmplete Onlne Slutns Manual Organzatn System Chapter 3, Slutn C. (a If the lateral surfaces f the rd are nsulated, the heat transfer surface area f the cylndrcal rd s the bttm r the tp surface
More informationExercises for Frequency Response. ECE 102, Winter 2011, F. Najmabadi
Eercses r Frequency espnse EE 0, Wnter 0, F. Najabad Eercse : A Mdy the crcut belw t nclude a dnant ple at 00 Mz ( 00 Ω, k, k, / 00 Ω, λ 0, and nre nternal capactances the MOS. pute the dnant ple n the
More informationIGEE 401 Power Electronic Systems. Solution to Midterm Examination Fall 2004
Jós, G GEE 401 wer Electrnc Systems Slutn t Mdterm Examnatn Fall 2004 Specal nstructns: - Duratn: 75 mnutes. - Materal allwed: a crb sheet (duble sded 8.5 x 11), calculatr. - Attempt all questns. Make
More informationelement k Using FEM to Solve Truss Problems
sng EM t Slve Truss Prblems A truss s an engneerng structure cmpsed straght members, a certan materal, that are tpcall pn-ned at ther ends. Such members are als called tw-rce members snce the can nl transmt
More informationV. Electrostatics Lecture 27a: Diffuse charge at electrodes
V. Electrstatcs Lecture 27a: Dffuse charge at electrdes Ntes by MIT tudent We have talked abut the electrc duble structures and crrespndng mdels descrbng the n and ptental dstrbutn n the duble layer. Nw
More informationLinear Amplifiers and OpAmps
Lnear Amplfers and OpAmps eferences: Barbw (pp 7-80), Hayes & Hrwtz (pp 63-40), zzn (Chapter ) Amplfers are tw-prt netwrks n whch the utput ltage r current s drectly prprtnal t ether nput ltage r current.
More informationIs current gain generally significant in FET amplifiers? Why or why not? Substitute each capacitor with a
FET Sall Snal Mdband Mdel Ntatn: C arables and quanttes are enerally desnated wth an uppercase subscrpt. AC arables and quanttes are enerally desnated wth a lwercase subscrpt. Phasr ntatn wll be used when
More informationTransient Conduction: Spatial Effects and the Role of Analytical Solutions
Transent Cnductn: Spatal Effects and the Rle f Analytcal Slutns Slutn t the Heat Equatn fr a Plane Wall wth Symmetrcal Cnvectn Cndtns If the lumped capactance apprxmatn can nt be made, cnsderatn must be
More informationMicroelectronics Circuit Analysis and Design. NMOS Common-Source Circuit. NMOS Common-Source Circuit 10/15/2013. In this chapter, we will:
Mcrelectrncs Crcut Analyss and Desn Dnald A. Neaen Chapter 4 Basc FET Aplfers In ths chapter, we wll: Inestate a snle-transstr crcut that can aplfy a sall, te-aryn nput snal Deelp sall-snal dels that are
More informationModule B3. VLoad = = V S V LN
Mdule B Prblem The -hase lads are cnnected n arallel. One s a urely resste lad cnnected n wye. t cnsumes 00kW. The secnd s a urely nducte 00kR lad cnnected n wye. The thrd s a urely caacte 00kR lad cnnected
More informationWaveshapping Circuits and Data Converters. Lesson #17 Comparators and Schmitt Triggers Section BME 373 Electronics II J.
Waeshappg Crcuts and Data Cnerters Lessn #7 Cmparatrs and Schmtt Trggers Sectn. BME 7 Electrncs II 0 Waeshappg Crcuts and Data Cnerters Cmparatrs and Schmtt Trggers Astable Multbratrs and Tmers ectfers,
More informationMedium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]
EECS 270, Winter 2017, Lecture 3 Page 1 f 6 Medium Scale Integrated (MSI) devices [Sectins 2.9 and 2.10] As we ve seen, it s smetimes nt reasnable t d all the design wrk at the gate-level smetimes we just
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 informationShell Stiffness for Diffe ent Modes
Engneerng Mem N 28 February 0 979 SUGGESTONS FOR THE DEFORMABLE SUBREFLECTOR Sebastan vn Herner Observatns wth the present expermental versn (Engneerng Dv nternal Reprt 09 July 978) have shwn that a defrmable
More informationPhysic 231 Lecture 33
Physc 231 Lecture 33 Man pnts f tday s lecture: eat and heat capacty: Q cm Phase transtns and latent heat: Q Lm ( ) eat flw Q k 2 1 t L Examples f heat cnductvty, R values fr nsulatrs Cnvectn R L / k Radatn
More informationLab #3: Pendulum Period and Proportionalities
Physics 144 Chwdary Hw Things Wrk Spring 2006 Name: Partners Name(s): Intrductin Lab #3: Pendulum Perid and Prprtinalities Smetimes, it is useful t knw the dependence f ne quantity n anther, like hw 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 informationThe two main types of FETs are the junction field effect transistor (JFET) and the metal oxide field effect transistor (MOSFET).
Mcrelectrncs Chapter three: Feld Effect Transstr sall snal analyss Intrductn: Feld-effect transstr aplfers prde an excellent ltae an wth the added feature f hh nput pedance. They are als lw-pwercnsuptn
More informationCHAPTER 3: FEEDBACK. Dr. Wan Mahani Hafizah binti Wan Mahmud
CHPTER 3: FEEDBCK Dr. Wan Mahan Hafzah bnt Wan Mahmud Feedback ntrductn Types f Feedback dvantages, Characterstcs and effect f Negatve Feedback mplfers Crcuts wth negatve feedback Pstve feedback and Oscllatr
More information( ) = ( ) + ( 0) ) ( )
EETOMAGNETI OMPATIBIITY HANDBOOK 1 hapter 9: Transent Behavor n the Tme Doman 9.1 Desgn a crcut usng reasonable values for the components that s capable of provdng a tme delay of 100 ms to a dgtal sgnal.
More informationCHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India
CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce
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 informationSection 10 Regression with Stochastic Regressors
Sectn 10 Regressn wth Stchastc Regressrs Meanng f randm regressrs Untl nw, we have assumed (aganst all reasn) that the values f x have been cntrlled by the expermenter. Ecnmsts almst never actually cntrl
More informationPT326 PROCESS TRAINER
PT326 PROCESS TRAINER 1. Descrptn f the Apparatus PT 326 Prcess Traner The PT 326 Prcess Traner mdels cmmn ndustral stuatns n whch temperature cntrl s requred n the presence f transprt delays and transfer
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 informationRegression with Stochastic Regressors
Sectn 9 Regressn wth Stchastc Regressrs Meanng f randm regressrs Untl nw, we have assumed (aganst all reasn) that the values f x have been cntrlled by the expermenter. Ecnmsts almst never actually cntrl
More informationConservation of Energy
Cnservatn f Energy Equpment DataStud, ruler 2 meters lng, 6 n ruler, heavy duty bench clamp at crner f lab bench, 90 cm rd clamped vertcally t bench clamp, 2 duble clamps, 40 cm rd clamped hrzntally t
More informationReview Problems 3. Four FIR Filter Types
Review Prblems 3 Fur FIR Filter Types Fur types f FIR linear phase digital filters have cefficients h(n fr 0 n M. They are defined as fllws: Type I: h(n = h(m-n and M even. Type II: h(n = h(m-n and M dd.
More informationChem 204A, Fall 2004, Mid-term (II)
Frst tw letters f yur last name Last ame Frst ame McGll ID Chem 204A, Fall 2004, Md-term (II) Read these nstructns carefully befre yu start tal me: 2 hurs 50 mnutes (6:05 PM 8:55 PM) 1. hs exam has ttal
More informationWYSE Academic Challenge Regional Mathematics 2007 Solution Set
WYSE Academic Challenge Reginal Mathematics 007 Slutin Set 1. Crrect answer: C. ( ) ( ) 1 + y y = ( + ) + ( y y + 1 ) = + 1 1 ( ) ( 1 + y ) = s *1/ = 1. Crrect answer: A. The determinant is ( 1 ( 1) )
More informationChapter 8 Predicting Molecular Geometries
Chapter 8 Predicting Mlecular Gemetries 8-1 Mlecular shape The Lewis diagram we learned t make in the last chapter are a way t find bnds between atms and lne pais f electrns n atms, but are nt intended
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 informationLEAP FROG TECHNIQUE. Operational Simulation of LC Ladder Filters ECEN 622 (ESS) TAMU-AMSC
LEAP FOG TEHNQUE Opeatnal Smulatn f L Ladde Fltes L pttype lw senstvty One fm f ths technque s called Leapf Technque Fundamental Buldn Blcks ae - nteats - Secnd-de ealzatns Fltes cnsdeed - LP - BP - HP
More informationTutorial 3: Building a spectral library in Skyline
SRM Curse 2013 Tutrial 3 Spectral Library Tutrial 3: Building a spectral library in Skyline Spectral libraries fr SRM methd design and fr data analysis can be either directly added t a Skyline dcument
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 informationThe three major operations done on biological signals using Op-Amp:
The three majr peratns dne n blgcal sgnals usng Op-Amp: ) Amplcatns and Attenuatns 2) DC settng: add r subtract a DC 3) Shape ts requency cntent: Flterng Ideal Op-Amp Mst belectrc sgnals are small and
More informationLecture 12. Heat Exchangers. Heat Exchangers Chee 318 1
Lecture 2 Heat Exchangers Heat Exchangers Chee 38 Heat Exchangers A heat exchanger s used t exchange heat between tw fluds f dfferent temperatures whch are separated by a sld wall. Heat exchangers are
More informationCIRCUIT ANALYSIS II Chapter 1 Sinusoidal Alternating Waveforms and Phasor Concept. Sinusoidal Alternating Waveforms and
U ANAYSS hapter Snusdal Alternatng Wavefrs and Phasr ncept Snusdal Alternatng Wavefrs and Phasr ncept ONNS. Snusdal Alternatng Wavefrs.. General Frat fr the Snusdal ltage & urrent.. Average alue..3 ffectve
More informationWater vapour balance in a building moisture exposure for timber structures
Jnt Wrkshp f COST Actns TU1 and E55 September 21-22 9, Ljubljana, Slvena Water vapur balance n a buldng msture expsure fr tmber structures Gerhard Fnk ETH Zurch, Swtzerland Jchen Köhler ETH Zurch, Swtzerland
More informationBipolar-Junction (BJT) transistors
Bplar-Junctn (BJT) transstrs References: Hayes & Hrwtz (pp 84-4), Rzzn (chapters 8 & 9) A bplar junctn transstr s frmed by jnng three sectns f semcnductrs wth alternately dfferent dpngs. The mddle sectn
More informationPhysics 114 Exam 2 Fall 2014 Solutions. Name:
Physcs 114 Exam Fall 014 Name: For gradng purposes (do not wrte here): Queston 1. 1... 3. 3. Problem Answer each of the followng questons. Ponts for each queston are ndcated n red. Unless otherwse ndcated,
More informationHow do scientists measure trees? What is DBH?
Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between
More information_J _J J J J J J J J _. 7 particles in the blue state; 3 particles in the red state: 720 configurations _J J J _J J J J J J J J _
Dsrder and Suppse I have 10 partcles that can be n ne f tw states ether the blue state r the red state. Hw many dfferent ways can we arrange thse partcles amng the states? All partcles n the blue state:
More informationVLSI Design I; A. Milenkovic 1
ourse dmnstraton PE/EE 47, PE 57 VLI esgn I L8: Pass Transstor Logc epartment of Electrcal and omputer Engneerng Unversty of labama n Huntsvlle leksandar Mlenkovc ( www. ece.uah.edu/~mlenka ) www. ece.uah.edu/~mlenka/cpe57-
More informationCommon Gate Amplifier
mmn Gate Ampler Fure (a) shs a cmmn ate ampler th deal current surce lad. Fure (b) shs the deal current surce mplemented by PMOS th cnstant ate t surce vltae. DD DD G M G M G M (a) (b) Fure. mmn ate ampler.
More informationSPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
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 informationT-model: - + v o. v i. i o. v e. R i
T-mdel: e gm - V Rc e e e gme R R R 23 e e e gme R R The s/c tanscnductance: G m e m g gm e 0 The nput esstance: R e e e e The utput esstance: R R 0 /c unladed ltage gan, R a g R m e gmr e 0 m e g me e/e
More informationLinear Plus Linear Fractional Capacitated Transportation Problem with Restricted Flow
Amercan urnal f Operatns Research,,, 58-588 Publshed Onlne Nvember (http://www.scrp.rg/urnal/ar) http://dx.d.rg/.46/ar..655 Lnear Plus Lnear Fractnal Capactated Transprtatn Prblem wth Restrcted Flw Kavta
More informationHere is instructions on how to use the simulation program.(the first simulation is used in question 5)
Larmr Precessin Tutrial Here is instructins n hw t use the simulatin prgram.(the first simulatin is used in questin 5). Duble click the file sp_spins. On the tp f the new windw, click File Open Internal
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 informationFigure 1a. A planar mechanism.
ME 5 - Machine Design I Fall Semester 0 Name f Student Lab Sectin Number EXAM. OPEN BOOK AND CLOSED NOTES. Mnday, September rd, 0 Write n ne side nly f the paper prvided fr yur slutins. Where necessary,
More information**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**
Tpics lists: UV-Vis Absrbance Spectrscpy Lab & ChemActivity 3-6 (nly thrugh 4) I. UV-Vis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that
More informationChapter 6 : Gibbs Free Energy
Wnter 01 Chem 54: ntrductry hermdynamcs Chapter 6 : Gbbs Free Energy... 64 Defntn f G, A... 64 Mawell Relatns... 65 Gbbs Free Energy G(,) (ure substances)... 67 Gbbs Free Energy fr Mtures... 68 ΔG f deal
More information1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south?
1.2.1 Vectrs Definitins Vectrs are represented n paper by arrws directin = magnitude = Examples f vectrs: Examples What is the reference vectr angle fr a vectr that pints 50 degrees east f suth? What is
More informationApproach: (Equilibrium) TD analysis, i.e., conservation eqns., state equations Issues: how to deal with
Schl f Aerspace Chemcal D: Mtvatn Prevus D Analyss cnsdered systems where cmpstn f flud was frzen fxed chemcal cmpstn Chemcally eactng Flw but there are numerus stuatns n prpulsn systems where chemcal
More informationWYSE Academic Challenge 2004 Sectional Physics Solution Set
WYSE Acadec Challenge 004 Sectnal Physcs Slutn Set. Answer: e. The axu pssble statc rctn r ths stuatn wuld be: ax µ sn µ sg (0.600)(40.0N) 4.0N. Snce yur pushng rce s less than the axu pssble rctnal rce,
More informationEstimating Delays. Gate Delay Model. Gate Delay. Effort Delay. Computing Logical Effort. Logical Effort
Estmatng Delas Would be nce to have a back of the envelope method for szng gates for speed Logcal Effort ook b Sutherland, Sproull, Harrs Chapter s on our web page Gate Dela Model Frst, normalze a model
More informationProblem Set 5 Solutions - McQuarrie Problems 3.20 MIT Dr. Anton Van Der Ven
Prblem Set 5 Slutns - McQuarre Prblems 3.0 MIT Dr. Antn Van Der Ven Fall Fall 003 001 Prblem 3-4 We have t derve the thermdynamc prpertes f an deal mnatmc gas frm the fllwng: = e q 3 m = e and q = V s
More informationPhysics 4B. A positive value is obtained, so the current is counterclockwise around the circuit.
Physcs 4B Solutons to Chapter 7 HW Chapter 7: Questons:, 8, 0 Problems:,,, 45, 48,,, 7, 9 Queston 7- (a) no (b) yes (c) all te Queston 7-8 0 μc Queston 7-0, c;, a;, d; 4, b Problem 7- (a) Let be the current
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 informationM thematics. National 5 Practice Paper E. Paper 1. Duration 1 hour. Total marks 40
N5 M thematics Natinal 5 Practice Paper E Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain
More informationx x
Mdeling the Dynamics f Life: Calculus and Prbability fr Life Scientists Frederick R. Adler cfrederick R. Adler, Department f Mathematics and Department f Bilgy, University f Utah, Salt Lake City, Utah
More informationProblem Set 9 Solutions
Desgn and Analyss of Algorthms May 4, 2015 Massachusetts Insttute of Technology 6.046J/18.410J Profs. Erk Demane, Srn Devadas, and Nancy Lynch Problem Set 9 Solutons Problem Set 9 Solutons Ths problem
More informationPHYSICS 151 Notes for Online Lecture #23
PHYSICS 5 Ntes fr Online Lecture #3 Peridicity Peridic eans that sething repeats itself. r exaple, eery twenty-fur hurs, the Earth aes a cplete rtatin. Heartbeats are an exaple f peridic behair. If yu
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 informationPhysics 114 Exam 2 Spring Name:
Physcs 114 Exam Sprng 013 Name: For gradng purposes (do not wrte here): Queston 1. 1... 3. 3. Problem Answer each of the followng questons. Ponts for each queston are ndcated n red wth the amount beng
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 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 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 information, where. This is a highpass filter. The frequency response is the same as that for P.P.14.1 RC. Thus, the sketches of H and φ are shown below.
hapter 4, Slutn. H ( H(, where H π H ( φ H ( tan - ( Th a hghpa lter. The requency repne the ame a that r P.P.4. except that. Thu, the ketche H and φ are hwn belw. H.77 / φ 9 45 / hapter 4, Slutn. H(,
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 informationBig Data Analytics! Special Topics for Computer Science CSE CSE Mar 31
Bg Data Analytcs! Specal Tpcs fr Cmputer Scence CSE 4095-001 CSE 5095-005! Mar 31 Fe Wang Asscate Prfessr Department f Cmputer Scence and Engneerng fe_wang@ucnn.edu Intrductn t Deep Learnng Perceptrn In
More informationLab 2e Thermal System Response and Effective Heat Transfer Coefficient
58:080 Expermental Engneerng 1 OBJECTIVE Lab 2e Thermal System Response and Effectve Heat Transfer Coeffcent Warnng: though the experment has educatonal objectves (to learn about bolng heat transfer, etc.),
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 informationEnergy & Work
rk Dne by a Cntant Frce 6.-6.4 Energy & rk F N m jule () J rk Dne by a Cntant Frce Example Pullng a Sutcae-n-heel Fnd the wrk dne the rce 45.0-N, the angle 50.0 degree, and the dplacement 75.0 m. 3 ( F
More informationName Honors Chemistry / /
Name Hnrs Chemistry / / Beynd Lewis Structures Exceptins t the Octet Rule Mdel Hydrgen is an exceptin t the ctet rule because it fills its uter energy level with nly 2 electrns. The secnd rw elements B
More informationMODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
More informationFinal Exam Spring 2014 SOLUTION
Appled Opts H-464/564 C 594 rtland State nverst A. La Rsa Fnal am Sprng 14 SOLTION Name There are tw questns 1%) plus an ptnal bnus questn 1%) 1. Quarter wave plates and half wave plates The fgures belw
More informationMAE140 - Linear Circuits - Fall 13 Midterm, October 31
Instructons ME140 - Lnear Crcuts - Fall 13 Mdterm, October 31 () Ths exam s open book. You may use whatever wrtten materals you choose, ncludng your class notes and textbook. You may use a hand calculator
More informationThis section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.
Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus
More informationCHAPTER 3 QUASI-RESONANT BUCK CONVERTER
27 CHAPTER 3 QUASI-RESONANT BUCK CONVERTER Hstrcally, prr t the avalablty f cntrllable swtch wth apprecable vltage and current-handlng capablty, the swtch-mde DC-DC cnverter cnssts f thyrstrs whch pertans
More information