Capacitance and Inductance. The Capacitor
|
|
- Candace Singleton
- 6 years ago
- Views:
Transcription
1 apaiane and Induane OUTINE apaiors apaior volage, urren, power, energy Induors eure 9, 9/9/5 Reading Hambley haper 3 (A) EE4 Fall 5 eure 9, Slide The apaior Two onduors (a,b) separaed by an insulaor: differene in poenial V ab > equal & opposie harge Q on onduors Q V ab (sored harge in erms of volage) where is he apaiane of he sruure, posiive () harge is on he onduor a higher poenial Parallel-plae apaior: area of he plaes A (m ) separaion beween plaes d (m) dieleri permiiviy of insulaor ε (F/m) Aε F(F) > apaiane d EE4 Fall 5 eure 9, Slide
2 EE4 Fall 5 eure 9, Slide 3 apaior Symbol: or Unis: Farads (oulombs/vol) (ypial range of values: pf o µf; for superapaiors up o a few F!) urren-volage relaionship: i dq d dv d v d d i Elerolyi (polarized) apaior v Noes: If (geomery) is unhanging: i dv /d Q (and v ) mus be a oninuous funion of ime Seady-sae (I and V onsan) > i > Open irui EE4 Fall 5 eure 9, Slide 4
3 Volage in Terms of urren Q( ) i ( ) d Q() v ( ) Q() i ( ) d i ( ) d v () Uses: apaiors are used o sore energy for amera flashbulbs, in filers ha separae various frequeny signals, and hey appear as undesired parasii elemens in iruis where hey usually degrade irui performane EE4 Fall 5 eure 9, Slide 5 Sored Energy APAITORS STORE EETRI ENERGY You migh hink he energy sored on a apaior is QV V, whih has he dimension of Joules. Bu during harging, he average volage aross he apaior was only half he final value of V for a linear apaior. QV V Thus, energy is. Example: A pf apaiane harged o 5 Vols has ½(5V) (pf).5 pj (A 5F superapaior harged o 5 vols sores 63 J; if i disharged a a onsan rae in ms energy is disharged a a 63 kw rae!) EE4 Fall 5 eure 9, Slide 6 3
4 A more rigorous derivaion Heads Up: This derivaion holds independen of he irui! i v w Final Iniial v i v V d v v V Final Iniial dq v V d v d v V Final Iniial dq v V w v v V Final Iniial dv V Final V Iniial EE4 Fall 5 eure 9, Slide 7 Example: urren, Power & Energy for a apaior v (V) v( ) i( ) d v() τ τ v() µf i() i (µa) dv i d (µs) v and q mus be oninuous funions of ime; however, i an be disoninuous. (µs) Noe: In seady sae (d operaion), ime derivaives are zero is an open irui EE4 Fall 5 eure 9, Slide 8 4
5 p (W) (µs) v() µf i() p vi w (J) (µs) w pd τ v EE4 Fall 5 eure 9, Slide 9 apaiors in Series and Parallel v () v () i() i() eq v()v ()v () Series eq Noe: For apaiors in Parallel, he volage is he same on eah and he harges and hene apaianes add. EE4 Fall 5 eure 9, Slide 5
6 EE4 Fall 5 apaiive Volage Divider Q: Suppose he volage applied aross a series ombinaion of apaiors is hanged by v. How will his affe he volage aross eah individual apaior? v v Q v Q Q -Q Q v v Q Q v () v Q Q Q v eure 9, Slide v v v Noe ha no ne harge an an be inrodued o his node. Therefore, Q Q v v v v Noe: apaiors in series have he same inremenal harge. Appliaion Example: MEMS Aeleromeer o deploy he airbag in a vehile ollision apaiive MEMS posiion sensor used o measure aeleraion (by measuring fore on a proof mass) MEMS miro- elero-mehanial sysems g g FIXED OUTER PATES EE4 Fall 5 eure 9, Slide 6
7 Sensing he Differenial apaiane Begin wih apaianes elerially disharged Fixed elerodes are hen harged o V s and V s Movable elerode (proof mass) is hen harged o V o irui model V s V s V o V o V V o s Referene Volage Vs (V s εa εa g g g g εa εa g g g g Volage Division ) g g ons Volage V is proporional o he displaemen V s EE4 Fall 5 eure 9, Slide 3 Symbol: Induor Unis: Henrys (Vols seond / Ampere) (ypial range of values: µh o H) urren in erms of volage: Noes: i mus be a oninuous funion of ime Seady-sae (I and v onsan) > v > Shor irui EE4 Fall 5 dflux di v ( ) d d i ( ) v ( τ ) dτ i( eure 9, Slide 4 ) i v 7
8 Sored Energy INDUTORS STORE MAGNETI ENERGY onsider an induor having an iniial urren i( ) i p( ) v( ) i( ) w( ) w( ) p( τ ) dτ i i EE4 Fall 5 eure 9, Slide 5 Induors in Series and Parallel ommon urren ommon VOlage EE4 Fall 5 eure 9, Slide 6 8
9 EE4 Fall 5 apaior dv i d w v v anno hange insananeously i an hange insananeously Do no shor-irui a harged apaior (-> infinie urren!) n n ap. s in series: n ap. s in parallel: eq eq Summary i n i i i eure 9, Slide 7 Induor i anno hange insananeously v an hange insananeously Do no open-irui an induor wih urren (-> infinie volage!) n ind. s in series: di v d w i n ind. s in parallel: eq eq n i n i i i v - Muual Induane i M i v v di di M d d di di M d d Example: Transformer % flux linkage N urns N urns v / v N /N v - EE4 Fall 5 eure 9, Slide 8 9
10 Poenial Plos for a Single Resisor and Two Resisors in Series (Poenial is Ploed Verially) Arrows represen volage drops EE4 Fall 5 eure 9, Slide 9 Poenial Plo for Two Resisors in Parallel Arrows represen volage drops EE4 Fall 5 eure 9, Slide
EE40 Summer 2005: Lecture 2 Instructor: Octavian Florescu 1. Measuring Voltages and Currents
Announemens HW # Due oday a 6pm. HW # posed online oday and due nex Tuesday a 6pm. Due o sheduling onflis wih some sudens, lasses will resume normally his week and nex. Miderm enaively 7/. EE4 Summer 5:
More informationChapter 8 The Complete Response of RL and RC Circuits
Chaper 8 he Complee Response of R and RC Ciruis Exerises Ex 8.3-1 Before he swih loses: Afer he swih loses: 2 = = 8 Ω so = 8 0.05 = 0.4 s. 0.25 herefore R ( ) Finally, 2.5 ( ) = o + ( (0) o ) = 2 + V for
More informationmywbut.com Lesson 11 Study of DC transients in R-L-C Circuits
mywbu.om esson Sudy of DC ransiens in R--C Ciruis mywbu.om Objeives Be able o wrie differenial equaion for a d iruis onaining wo sorage elemens in presene of a resisane. To develop a horough undersanding
More informationChapter 16: Summary. Instructor: Jean-François MILLITHALER.
Chaper 16: Summary Insrucor: Jean-François MILLITHALER hp://faculy.uml.edu/jeanfrancois_millihaler/funelec/spring2017 Slide 1 Curren & Charge Elecric curren is he ime rae of change of charge, measured
More informationELEG 205 Fall Lecture #13. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)
ELEG 205 Fall 2017 Leure #13 Mark Miroznik, Ph.D. Professor The Universiy of Delaware Tel: (302831-4221 Email: mirozni@ee.udel.edu Chaper 8: RL and RC Ciruis 1. Soure-free RL iruis (naural response 2.
More informationBasic Circuit Elements Professor J R Lucas November 2001
Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions
More informationEECE251. Circuit Analysis I. Set 4: Capacitors, Inductors, and First-Order Linear Circuits
EEE25 ircui Analysis I Se 4: apaciors, Inducors, and Firs-Order inear ircuis Shahriar Mirabbasi Deparmen of Elecrical and ompuer Engineering Universiy of Briish olumbia shahriar@ece.ubc.ca Overview Passive
More informationAnalysis of Tubular Linear Permanent Magnet Motor for Drilling Application
Analysis of Tubular Linear Permanen Magne Moor for Drilling Appliaion Shujun Zhang, Lars Norum, Rober Nilssen Deparmen of Eleri Power Engineering Norwegian Universiy of Siene and Tehnology, Trondheim 7491
More informationChapter 4 AC Network Analysis
haper 4 A Nework Analysis Jaesung Jang apaciance Inducance and Inducion Time-Varying Signals Sinusoidal Signals Reference: David K. heng, Field and Wave Elecromagneics. Energy Sorage ircui Elemens Energy
More informationCAPACITANCE AND INDUCTANCE
APAITANE AND INDUTANE Inroduces wo passive, energy soring devices: apaciors and Inducors APAITORS Sore energy in heir elecric field (elecrosaic energy) Model as circui elemen INDUTORS Sore energy in heir
More information7. Capacitors and Inductors
7. Capaciors and Inducors 7. The Capacior The ideal capacior is a passive elemen wih circui symbol The curren-volage relaion is i=c dv where v and i saisfy he convenions for a passive elemen The capacior
More informationUniversity of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers
Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as
More informationChapter 10 INDUCTANCE Recommended Problems:
Chaper 0 NDUCTANCE Recommended Problems: 3,5,7,9,5,6,7,8,9,,,3,6,7,9,3,35,47,48,5,5,69, 7,7. Self nducance Consider he circui shown in he Figure. When he swich is closed, he curren, and so he magneic field,
More informationdv 7. Voltage-current relationship can be obtained by integrating both sides of i = C :
EECE202 NETWORK ANALYSIS I Dr. Charles J. Kim Class Noe 22: Capaciors, Inducors, and Op Amp Circuis A. Capaciors. A capacior is a passive elemen designed o sored energy in is elecric field. 2. A capacior
More information- If one knows that a magnetic field has a symmetry, one may calculate the magnitude of B by use of Ampere s law: The integral of scalar product
11.1 APPCATON OF AMPEE S AW N SYMMETC MAGNETC FEDS - f one knows ha a magneic field has a symmery, one may calculae he magniude of by use of Ampere s law: The inegral of scalar produc Closed _ pah * d
More informationCapacitors. C d. An electrical component which stores charge. parallel plate capacitor. Scale in cm
apaciors An elecrical componen which sores charge E 2 2 d A 2 parallel plae capacior Scale in cm Leyden Jars I was invened independenly by German cleric Ewald Georg von Kleis on Ocober 745 and by Duch
More informationCapacitors & Inductors
apaciors & Inducors EEE5 Elecric ircuis Anawach Sangswang Dep. of Elecrical Engineering KMUTT Elecric Field Elecric flux densiy Elecric field srengh E Elecric flux lines always exend from a posiively charged
More information( ) = Q 0. ( ) R = R dq. ( t) = I t
ircuis onceps The addiion of a simple capacior o a circui of resisors allows wo relaed phenomena o occur The observaion ha he ime-dependence of a complex waveform is alered by he circui is referred o as
More informationBoyce/DiPrima 9 th ed, Ch 6.1: Definition of. Laplace Transform. In this chapter we use the Laplace transform to convert a
Boye/DiPrima 9 h ed, Ch 6.: Definiion of Laplae Transform Elemenary Differenial Equaions and Boundary Value Problems, 9 h ediion, by William E. Boye and Rihard C. DiPrima, 2009 by John Wiley & Sons, In.
More informationDirect Current Circuits. February 19, 2014 Physics for Scientists & Engineers 2, Chapter 26 1
Direc Curren Circuis February 19, 2014 Physics for Scieniss & Engineers 2, Chaper 26 1 Ammeers and Volmeers! A device used o measure curren is called an ammeer! A device used o measure poenial difference
More informationChapter 7 Response of First-order RL and RC Circuits
Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial
More informationEE100 Lab 3 Experiment Guide: RC Circuits
I. Inroducion EE100 Lab 3 Experimen Guide: A. apaciors A capacior is a passive elecronic componen ha sores energy in he form of an elecrosaic field. The uni of capaciance is he farad (coulomb/vol). Pracical
More informationCHAPTER 12 DIRECT CURRENT CIRCUITS
CHAPTER 12 DIRECT CURRENT CIUITS DIRECT CURRENT CIUITS 257 12.1 RESISTORS IN SERIES AND IN PARALLEL When wo resisors are conneced ogeher as shown in Figure 12.1 we said ha hey are conneced in series. As
More informationHomework-8(1) P8.3-1, 3, 8, 10, 17, 21, 24, 28,29 P8.4-1, 2, 5
Homework-8() P8.3-, 3, 8, 0, 7, 2, 24, 28,29 P8.4-, 2, 5 Secion 8.3: The Response of a Firs Order Circui o a Consan Inpu P 8.3- The circui shown in Figure P 8.3- is a seady sae before he swich closes a
More informationVoltage/current relationship Stored Energy. RL / RC circuits Steady State / Transient response Natural / Step response
Review Capaciors/Inducors Volage/curren relaionship Sored Energy s Order Circuis RL / RC circuis Seady Sae / Transien response Naural / Sep response EE4 Summer 5: Lecure 5 Insrucor: Ocavian Florescu Lecure
More informationElectrical Circuits. 1. Circuit Laws. Tools Used in Lab 13 Series Circuits Damped Vibrations: Energy Van der Pol Circuit
V() R L C 513 Elecrical Circuis Tools Used in Lab 13 Series Circuis Damped Vibraions: Energy Van der Pol Circui A series circui wih an inducor, resisor, and capacior can be represened by Lq + Rq + 1, a
More informationDesigning Information Devices and Systems I Spring 2019 Lecture Notes Note 17
EES 16A Designing Informaion Devices and Sysems I Spring 019 Lecure Noes Noe 17 17.1 apaciive ouchscreen In he las noe, we saw ha a capacior consiss of wo pieces on conducive maerial separaed by a nonconducive
More information1.8-MHz, 48-V Resonant VRM: Analysis, Design, and Performance Evaluation
1.8-MHz, 48- Resonan RM: Analysis, Design, Performane Evaluaion aszlo Huber 1, Kevin Hsu, Milan M. Jovanović 1, Dennis Solley 3, Gennady Gurov 3, Rober Porer 3 1 Dela Produs Corporaion Dela Eleronis, In.
More informationFirst Order RC and RL Transient Circuits
Firs Order R and RL Transien ircuis Objecives To inroduce he ransiens phenomena. To analyze sep and naural responses of firs order R circuis. To analyze sep and naural responses of firs order RL circuis.
More informationLabQuest 24. Capacitors
Capaciors LabQues 24 The charge q on a capacior s plae is proporional o he poenial difference V across he capacior. We express his wih q V = C where C is a proporionaliy consan known as he capaciance.
More information[Kalita*, 4.(6): June, 2015] ISSN: (I2OR), Publication Impact Factor: (ISRA), Journal Impact Factor: 2.114
IJESRT INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY ADAPTIVE CONTROL TECHNIQUES FOR DC-DC BUCK CONVERTER Pranjal Kalia*, Manash Proim Saikia, N.H.Singh * Dep. of Eleronis & Communiaion
More informationCAPACITANCE AND INDUCTANCE
APAITANE AND INDUTANE Inroduces wo passve, energy sorng devces: apacors and Inducors LEARNING GOALS APAITORS Sore energy n her elecrc feld (elecrosac energy) Model as crcu elemen INDUTORS Sore energy n
More informationProblem Set 9 Due December, 7
EE226: Random Proesses in Sysems Leurer: Jean C. Walrand Problem Se 9 Due Deember, 7 Fall 6 GSI: Assane Gueye his problem se essenially reviews Convergene and Renewal proesses. No all exerises are o be
More informationINDEX. Transient analysis 1 Initial Conditions 1
INDEX Secion Page Transien analysis 1 Iniial Condiions 1 Please inform me of your opinion of he relaive emphasis of he review maerial by simply making commens on his page and sending i o me a: Frank Mera
More information8.022 (E&M) Lecture 9
8.0 (E&M) Lecure 9 Topics: circuis Thevenin s heorem Las ime Elecromoive force: How does a baery work and is inernal resisance How o solve simple circuis: Kirchhoff s firs rule: a any node, sum of he currens
More informationPhysics 1402: Lecture 22 Today s Agenda
Physics 142: ecure 22 Today s Agenda Announcemens: R - RV - R circuis Homework 6: due nex Wednesday Inducion / A curren Inducion Self-Inducance, R ircuis X X X X X X X X X long solenoid Energy and energy
More informationTRANSMISSION LINES AND WAVEGUIDES. Uniformity along the Direction of Propagation
TRANSMISSION LINES AND WAVEGUIDES Uniformi along he Direion of Propagaion Definiion: Transmission Line TL is he erm o desribe ransmission ssems wih wo or more mealli onduors eleriall insulaed from eah
More informationCAPACITANCE AND INDUCTANCE
APAITANE AND INDUTANE Inroduces wo passive, energy soring devices: apaciors and Inducors LEARNING GOALS APAITORS Sore energy in heir elecric field (elecrosaic energy) Model as circui elemen INDUTORS Sore
More informationRECHARGING LARGE CAPACITOR BANKS. H. R. Shaylor Brookhaven National Laboratory
RECHARGING LARGE CAPACIOR BANKS H. R. Shaylor Brookhaven Naional Laboraory he power bill for a large lina suh as ha proposed for he AGS onversion would be in he order of $100, 000 per year. his is for
More informationLecture 11 Inductance and Capacitance
ecure Inducance and apacance EETRIA ENGINEERING: PRINIPES AND APPIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. Goals. Fnd he curren olage for a capacance or nducance gen he olage curren
More informationEEEB113 CIRCUIT ANALYSIS I
9/14/29 1 EEEB113 CICUIT ANALYSIS I Chaper 7 Firs-Order Circuis Maerials from Fundamenals of Elecric Circuis 4e, Alexander Sadiku, McGraw-Hill Companies, Inc. 2 Firs-Order Circuis -Chaper 7 7.2 The Source-Free
More informationThe problem with linear regulators
he problem wih linear regulaors i in P in = i in V REF R a i ref i q i C v CE P o = i o i B ie P = v i o o in R 1 R 2 i o i f η = P o P in iref is small ( 0). iq (quiescen curren) is small (probably).
More informationELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)
EEG 05 Fall 07 ecure #0 Mark Mirznik, Ph.D. Prfessr The Universiy f Delaware Tel: (3083-4 Email: mirzni@ece.udel.edu haper 7: apacirs and Inducrs The apacir Symbl Wha hey really lk like The apacir Wha
More informationR.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder#
.#W.#Erickson# Deparmen#of#Elecrical,#Compuer,#and#Energy#Engineering# Universiy#of#Colorado,#Boulder# Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance,
More informationdv i= C. dt 1. Assuming the passive sign convention, (a) i = 0 (dc) (b) (220)( 9)(16.2) t t Engineering Circuit Analysis 8 th Edition
. Assuming he passive sign convenion, dv i= C. d (a) i = (dc) 9 9 (b) (22)( 9)(6.2) i= e = 32.8e A 9 3 (c) i (22 = )(8 )(.) sin. = 7.6sin. pa 9 (d) i= (22 )(9)(.8) cos.8 = 58.4 cos.8 na 2. (a) C = 3 pf,
More informationModule 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
More informationLecture Outline. Introduction Transmission Line Equations Transmission Line Wave Equations 8/10/2018. EE 4347 Applied Electromagnetics.
8/10/018 Course Insrucor Dr. Raymond C. Rumpf Office: A 337 Phone: (915) 747 6958 E Mail: rcrumpf@uep.edu EE 4347 Applied Elecromagneics Topic 4a Transmission Line Equaions Transmission These Line noes
More informationMEMS 0031 Electric Circuits
MEMS 0031 Elecric Circuis Chaper 1 Circui variables Chaper/Lecure Learning Objecives A he end of his lecure and chaper, you should able o: Represen he curren and volage of an elecric circui elemen, paying
More information( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is
UNIT IMPULSE RESPONSE, UNIT STEP RESPONSE, STABILITY. Uni impulse funcion (Dirac dela funcion, dela funcion) rigorously defined is no sricly a funcion, bu disribuion (or measure), precise reamen requires
More informationChapter 2: Principles of steady-state converter analysis
Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance, capacior charge balance, and he small ripple approximaion 2.3. Boos converer example 2.4. Cuk converer
More information3. Alternating Current
3. Alernaing Curren TOPCS Definiion and nroducion AC Generaor Componens of AC Circuis Series LRC Circuis Power in AC Circuis Transformers & AC Transmission nroducion o AC The elecric power ou of a home
More informationIE1206 Embedded Electronics
IE06 Embee Elecronics Le Le3 Le4 Le Ex Ex PI-block Documenaion, Seriecom Pulse sensors I, U, R, P, series an parallel K LAB Pulse sensors, Menu program Sar of programing ask Kirchhoffs laws Noe analysis
More informationIdealize Bioreactor CSTR vs. PFR... 3 Analysis of a simple continuous stirred tank bioreactor... 4 Residence time distribution... 4 F curve:...
Idealize Bioreaor CSTR vs. PFR... 3 Analysis of a simple oninuous sirred ank bioreaor... 4 Residene ime disribuion... 4 F urve:... 4 C urve:... 4 Residene ime disribuion or age disribuion... 4 Residene
More informationPhysics for Scientists & Engineers 2
Direc Curren Physics for Scieniss & Engineers 2 Spring Semeser 2005 Lecure 16 This week we will sudy charges in moion Elecric charge moving from one region o anoher is called elecric curren Curren is all
More information4. Voltage Induction in Three-Phase Machines
4. Volage Indion in Three-Phase Mahines NIVERSITÄT 4/1 FARADAY s law of indion a b Eah hange of flx, whih is linked o ondor loop C, ases an inded volage i in ha loop; he inded volage is he negaive rae
More informationPhys1112: DC and RC circuits
Name: Group Members: Dae: TA s Name: Phys1112: DC and RC circuis Objecives: 1. To undersand curren and volage characerisics of a DC RC discharging circui. 2. To undersand he effec of he RC ime consan.
More informationCHAPTER 6: FIRST-ORDER CIRCUITS
EEE5: CI CUI T THEOY CHAPTE 6: FIST-ODE CICUITS 6. Inroducion This chaper considers L and C circuis. Applying he Kirshoff s law o C and L circuis produces differenial equaions. The differenial equaions
More informationSection 2.2 Charge and Current 2.6 b) The current direction is designated as the direction of the movement of positive charges.
Chaper Soluions Secion. Inroducion. Curren source. Volage source. esisor.4 Capacior.5 Inducor Secion. Charge and Curren.6 b) The curren direcion is designaed as he direcion of he movemen of posiive charges..7
More informationIntroduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p.
ECE MS I DC Power P I = Inroducion o AC Power, MS I AC Power P =? A Solp //9, // // correced p4 '4 v( ) = p cos( ω ) v( ) p( ) Couldn' we define an "effecive" volage ha would allow us o use he same relaionships
More informationPhysics 111. Exam #1. January 24, 2011
Physics 111 Exam #1 January 4, 011 Name Muliple hoice /16 Problem #1 /8 Problem # /8 Problem #3 /8 Toal /100 ParI:Muliple hoice:irclehebesansweroeachquesion.nyohermarks willnobegivencredi.eachmuliple choicequesionisworh4poinsoraoalo
More informationElectrical and current self-induction
Elecrical and curren self-inducion F. F. Mende hp://fmnauka.narod.ru/works.hml mende_fedor@mail.ru Absrac The aricle considers he self-inducance of reacive elemens. Elecrical self-inducion To he laws of
More information1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Outline 5 Creep and Shrinkage Deformation
1.54/1.541 Mehanis and Design of Conree ruures pring 24 Prof. Oral Buyukozurk Massahuses Insiue of Tehnology Ouline 5 1.54/1.541 Mehanis and Design of Conree ruures (3--9 Ouline 5 and hrinkage Deformaion
More informationReading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.
PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence
More informationECE 2100 Circuit Analysis
ECE 1 Circui Analysis Lesson 37 Chaper 8: Second Order Circuis Discuss Exam Daniel M. Liynski, Ph.D. Exam CH 1-4: On Exam 1; Basis for work CH 5: Operaional Amplifiers CH 6: Capaciors and Inducor CH 7-8:
More information(b) (a) (d) (c) (e) Figure 10-N1. (f) Solution:
Example: The inpu o each of he circuis shown in Figure 10-N1 is he volage source volage. The oupu of each circui is he curren i( ). Deermine he oupu of each of he circuis. (a) (b) (c) (d) (e) Figure 10-N1
More informationProblem 1 / 25 Problem 2 / 10 Problem 3 / 15 Problem 4 / 30 Problem 5 / 20 TOTAL / 100
Deparmen of Applied Eonomis Johns Hopkins Universiy Eonomis 60 Maroeonomi Theory and Poliy Miderm Exam Suggesed Soluions Professor Sanjay Chugh Summer 0 NAME: The Exam has a oal of five (5) problems and
More informationElectromagnetic Induction: The creation of an electric current by a changing magnetic field.
Inducion 1. Inducion 1. Observaions 2. Flux 1. Inducion Elecromagneic Inducion: The creaion of an elecric curren by a changing magneic field. M. Faraday was he firs o really invesigae his phenomenon o
More informationExperimental Buck Converter
Experimenal Buck Converer Inpu Filer Cap MOSFET Schoky Diode Inducor Conroller Block Proecion Conroller ASIC Experimenal Synchronous Buck Converer SoC Buck Converer Basic Sysem S 1 u D 1 r r C C R R X
More informationChapter 8 The Complete Response of RL and RC Circuits
Chaper 8 The Complee Response of RL and RC Circuis Seoul Naional Universiy Deparmen of Elecrical and Compuer Engineering Wha is Firs Order Circuis? Circuis ha conain only one inducor or only one capacior
More information5. An economic understanding of optimal control as explained by Dorfman (1969) AGEC
This doumen was generaed a 1:27 PM, 09/17/15 Copyrigh 2015 Rihard T Woodward 5 An eonomi undersanding of opimal onrol as explained by Dorfman (1969) AGEC 642-2015 The purpose of his leure and he nex is
More informationMass Transfer Coefficients (MTC) and Correlations I
Mass Transfer Mass Transfer Coeffiiens (MTC) and Correlaions I 7- Mass Transfer Coeffiiens and Correlaions I Diffusion an be desribed in wo ways:. Deailed physial desripion based on Fik s laws and he diffusion
More informationTeacher Quality Policy When Supply Matters: Online Appendix
Teaher Qualiy Poliy When Supply Maers: Online Appendix Jesse Rohsein July 24, 24 A Searh model Eah eaher draws a single ouside job offer eah year. If she aeps he offer, she exis eahing forever. The ouside
More informationChapter 1 Electric Circuit Variables
Chaper 1 Elecric Circui Variables Exercises Exercise 1.2-1 Find he charge ha has enered an elemen by ime when i = 8 2 4 A, 0. Assume q() = 0 for < 0. 8 3 2 Answer: q () = 2 C 3 () 2 i = 8 4 A 2 8 3 2 8
More informationA New Formulation of Electrodynamics
. Eleromagnei Analysis & Appliaions 1 457-461 doi:1.436/jemaa.1.86 Published Online Augus 1 hp://www.sirp.org/journal/jemaa A New Formulaion of Elerodynamis Arbab I. Arbab 1 Faisal A. Yassein 1 Deparmen
More informationInductor Energy Storage
School of Compuer Science and Elecrical Engineering 5/5/ nducor Energy Sorage Boh capaciors and inducors are energy sorage devices They do no dissipae energy like a resisor, bu sore and reurn i o he circui
More informationLinear Quadratic Regulator (LQR) - State Feedback Design
Linear Quadrai Regulaor (LQR) - Sae Feedbak Design A sysem is expressed in sae variable form as x = Ax + Bu n m wih x( ) R, u( ) R and he iniial ondiion x() = x A he sabilizaion problem using sae variable
More information2.4 Cuk converter example
2.4 Cuk converer example C 1 Cuk converer, wih ideal swich i 1 i v 1 2 1 2 C 2 v 2 Cuk converer: pracical realizaion using MOSFET and diode C 1 i 1 i v 1 2 Q 1 D 1 C 2 v 2 28 Analysis sraegy This converer
More informationPhysical Limitations of Logic Gates Week 10a
Physical Limiaions of Logic Gaes Week 10a In a compuer we ll have circuis of logic gaes o perform specific funcions Compuer Daapah: Boolean algebraic funcions using binary variables Symbolic represenaion
More information8. Basic RL and RC Circuits
8. Basic L and C Circuis This chaper deals wih he soluions of he responses of L and C circuis The analysis of C and L circuis leads o a linear differenial equaion This chaper covers he following opics
More informationGeneralized electromagnetic energy-momentum tensor and scalar curvature of space at the location of charged particle
Generalized eleromagnei energy-momenum ensor and salar urvaure of spae a he loaion of harged parile A.L. Kholmeskii 1, O.V. Missevih and T. Yarman 3 1 Belarus Sae Universiy, Nezavisimosi Avenue, 0030 Minsk,
More informationnon-linear oscillators
non-linear oscillaors The invering comparaor operaion can be summarized as When he inpu is low, he oupu is high. When he inpu is high, he oupu is low. R b V REF R a and are given by he expressions derived
More information4. Electric field lines with respect to equipotential surfaces are
Pre-es Quasi-saic elecromagneism. The field produced by primary charge Q and by an uncharged conducing plane disanced from Q by disance d is equal o he field produced wihou conducing plane by wo following
More informationTraveling Waves. Chapter Introduction
Chaper 4 Traveling Waves 4.1 Inroducion To dae, we have considered oscillaions, i.e., periodic, ofen harmonic, variaions of a physical characerisic of a sysem. The sysem a one ime is indisinguishable from
More informationBEng (Hons) Telecommunications. Examinations for / Semester 2
BEng (Hons) Telecommunicaions Cohor: BTEL/14/FT Examinaions for 2015-2016 / Semeser 2 MODULE: ELECTROMAGNETIC THEORY MODULE CODE: ASE2103 Duraion: 2 ½ Hours Insrucions o Candidaes: 1. Answer ALL 4 (FOUR)
More informationLecture 13 RC/RL Circuits, Time Dependent Op Amp Circuits
Lecure 13 RC/RL Circuis, Time Dependen Op Amp Circuis RL Circuis The seps involved in solving simple circuis conaining dc sources, resisances, and one energy-sorage elemen (inducance or capaciance) are:
More informationECE 2100 Circuit Analysis
ECE 1 Circui Analysis Lesson 35 Chaper 8: Second Order Circuis Daniel M. Liynski, Ph.D. ECE 1 Circui Analysis Lesson 3-34 Chaper 7: Firs Order Circuis (Naural response RC & RL circuis, Singulariy funcions,
More information2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance
Ch: Moion along a sraigh line Moion Posiion and Displacemen Average Velociy and Average Speed Insananeous Velociy and Speed Acceleraion Consan Acceleraion: A Special Case Anoher Look a Consan Acceleraion
More informationfirst-order circuit Complete response can be regarded as the superposition of zero-input response and zero-state response.
Experimen 4:he Sdies of ransiional processes of 1. Prpose firs-order circi a) Use he oscilloscope o observe he ransiional processes of firs-order circi. b) Use he oscilloscope o measre he ime consan of
More informationPhysics 1502: Lecture 20 Today s Agenda
Physics 152: Lecure 2 Today s Agenda Announcemens: Chap.27 & 28 Homework 6: Friday nducion Faraday's Law ds N S v S N v 1 A Loop Moving Through a Magneic Field ε() =? F() =? Φ() =? Schemaic Diagram of
More informationAC Circuits AC Circuit with only R AC circuit with only L AC circuit with only C AC circuit with LRC phasors Resonance Transformers
A ircuis A ircui wih only A circui wih only A circui wih only A circui wih phasors esonance Transformers Phys 435: hap 31, Pg 1 A ircuis New Topic Phys : hap. 6, Pg Physics Moivaion as ime we discovered
More informationEXERCISES FOR SECTION 1.5
1.5 Exisence and Uniqueness of Soluions 43 20. 1 v c 21. 1 v c 1 2 4 6 8 10 1 2 2 4 6 8 10 Graph of approximae soluion obained using Euler s mehod wih = 0.1. Graph of approximae soluion obained using Euler
More informationcopper ring magnetic field
IB PHYSICS: Magneic Fields, lecromagneic Inducion, Alernaing Curren 1. This quesion is abou elecromagneic inducion. In 1831 Michael Faraday demonsraed hree ways of inducing an elecric curren in a ring
More informationwhere the coordinate X (t) describes the system motion. X has its origin at the system static equilibrium position (SEP).
Appendix A: Conservaion of Mechanical Energy = Conservaion of Linear Momenum Consider he moion of a nd order mechanical sysem comprised of he fundamenal mechanical elemens: ineria or mass (M), siffness
More informationHybrid probabilistic interval dynamic analysis of vehicle-bridge interaction system with uncertainties
1 APCOM & SCM 11-14 h Deember, 13, Singapore Hybrid probabilisi inerval dynami analysis of vehile-bridge ineraion sysem wih unerainies Nengguang iu 1, * Wei Gao 1, Chongmin Song 1 and Nong Zhang 1 Shool
More informationCircuit Variables. AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters per second to miles per second: 1 ft 12 in
Circui Variables 1 Assessmen Problems AP 1.1 Use a produc of raios o conver wo-hirds he speed of ligh from meers per second o miles per second: ( ) 2 3 1 8 m 3 1 s 1 cm 1 m 1 in 2.54 cm 1 f 12 in 1 mile
More informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan
Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure
More informationEconomics 202 (Section 05) Macroeconomic Theory Practice Problem Set 7 Suggested Solutions Professor Sanjay Chugh Fall 2013
Deparmen of Eonomis Boson College Eonomis 0 (Seion 05) Maroeonomi Theory Praie Problem Se 7 Suggesed Soluions Professor Sanjay Chugh Fall 03. Lags in Labor Hiring. Raher han supposing ha he represenaive
More informationGeneralized The General Relativity Using Generalized Lorentz Transformation
P P P P IJISET - Inernaional Journal of Innoaie Siene, Engineering & Tehnology, Vol. 3 Issue 4, April 6. www.ijise.om ISSN 348 7968 Generalized The General Relaiiy Using Generalized Lorenz Transformaion
More informationLecture 4 Kinetics of a particle Part 3: Impulse and Momentum
MEE Engineering Mechanics II Lecure 4 Lecure 4 Kineics of a paricle Par 3: Impulse and Momenum Linear impulse and momenum Saring from he equaion of moion for a paricle of mass m which is subjeced o an
More information