ELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)
|
|
- Gervase Wood
- 6 years ago
- Views:
Transcription
1 EEG 05 Fall 07 ecure #0 Mark Mirznik, Ph.D. Prfessr The Universiy f Delaware Tel: ( mirzni@ece.udel.edu
2 haper 7: apacirs and Inducrs
3 The apacir Symbl Wha hey really lk like
4 The apacir Wha is cmmn amngs all capacirs? Meal surfaces separaed by dielecric (i.e. insulaing maerial such as air, glass, paper, plasic
5 The apacir When a vlage is applied acrss he w meal plaes he plaes accumulae elecrical charge (psiive n ne plae and negaive n he her plae Sme Physics Q A capacir sres energy in an elecric field. I des n absrb r dissipae any energy
6 The apacir Sme Physics The amun f charge ha is sred n he capacir depends n w hings ( The size f he vlage ( The size f he capacir and is maerials Q, V Farads Q
7 The apacir Sme Physics: Parallel Plae Equain Fr his gemery he capaciance is deermined be: ε ε r A εε r, d Farads F / m Relaive permiiviy (depends n he maerial beween he plaes
8 The apacir Sme Physics: Parallel Plae Equain Example: Hw big d he plaes need be ge a F capacir? A ε ε d r ε ε d ε ε.0.0 r r A d cm, Farads F / m A m 00 miles n a side square plaes!
9 The apacir Sme Physics Quesin: Is here curren flwing in he wires and inside he capacir? Q
10 The apacir Quesin: Is here curren flwing in he wires and inside he capacir? Sme Physics Q Answer Yes: As lng as he charge is changing in ime here is curren i dq d
11 The apacir Quesin: Is here hen a relainship i dq d Q, V Farads beween he vlage and curren ( V d i d dv d fr a capacir? i( dv ( d
12 The apacir i( V ( i( dv ( d
13 The apacir dv ( i( d i( V ( V ( i( d V (
14 The apacir: Sred Energy ( ( ( ( ( ( ( ( ( ( ( ( v v dv v E d d dv v d P E d dv v i v P ( ( ( v v E
15 The Inducr Symbl Wha hey really lk like
16 A wire ha is usually wund arund a cre. The cre culd be magneic (i.e. ferrie r nn-magneic (air, plasic. I wrks by building up and sring energy in he way f magneic fields.. The Inducr Wha is cmmn amngs all capacirs? Magneic fields An inducr sres energy in a magneic field. I des n absrb r dissipae any energy
17 The Inducr Wha deermines hw much energy is sred in he magneic field? Tw hings: ( The amun f curren ha flws hrugh he inducr and is range f change. ( The shape and maerial f he inducr (i.e. hw many wire urns, diameer, cre maerial. All f hese parameers are wha we call he inducance, Magneic fields Wha are he unis fr inducance?
18 The Inducr Quesin: Is here hen a relainship di( beween he vlage and curren v( d fr an inducr?
19 The Inducr v ( i( v( di( d
20 The Inducr di( v( ( d v i( i( v( d i(
21 The Inducr: Sred Energy E ( i( i (
22 Summary Symbl Unis Vlage urren relainship Inegral frm Sred Energy apacir Farads (F i( dv( d v( i( d v( E ( v( Inducr Henry (H v( di( d i( v( d i( E ( i(
23 Wha d capacirs and inducrs lk like a D? Symbl Unis Vlage urren relainship Inegral frm Sred Energy I V D D dv d di d D D Fr D all vlages and currens DO NOT vary in ime 0 0 N curren flws hrugh a capacir fr D (i.e. OPEN IRUIT N vlage acrss an inducr fr D (i.e. shr IRUIT
24 Summary Symbl Unis Vlage urren relainship Inegral frm Sred Energy Wha des i lk like a D apacir Farads (F i( dv( d v( i( d v( E ( v( pen circui Inducr Henry (H v( di( d i( v( d i( E ( i( shr circui
25 an vlages and currens change insananeusly? ( Resisr Symbl v( R i( Unis Vlage Wha wuld happen if we ried urren change Inegral he vlage frmr curren Sred relainship insananeusly Energy hms law permis insananeus changes bh vlage and curren
26 an vlages and currens change insananeusly? ( Inducr di( v( d If he curren ries change insananeusly hen he vlage ges infiniy! N pssible Unis URRENT ANNOT HANGE INSTANTANEOUSY FOR AN INDUTOR Vlage Wha wuld happen if we ried urren change Inegral he vlage frmr curren Sred relainship insananeusly Energy
27 an vlages and currens change insananeusly? (3 apacir i( dv( d If he vlage ries change insananeusly hen he curren ges infiniy! N pssible VOTAGE ANNOT HANGE INSTANTANEOUSY FOR A APAITOR Unis Vlage Wha wuld happen if we ried urren change Inegral he vlage frmr curren Sred relainship insananeusly Energy
28 Summary Symbl Unis Vlage urren relainship Inegral frm Sred Energy Wha des i lk like a D an vlage r curren change insananeusly apacir Farads (F i( dv( d v( i( d v( E ( v( Open circui Vlage N urren - Yes Inducr Henry (H v( di( d i( v( d i( E ( i( Shr circui Vlage Yes urren - N
29 mbinain f apacirs apacirs in Series v s i v - v - KV: v s v v Take derivaive f bh sides wih respec ime dv s d dv d dv d Use law f he capacir relae vlage curren 0 0 i( dv ( d dv s d i i 0 dv s d i
30 mbinain f apacirs apacirs in Series v s i v - v - v s i eq dv s d i i dv d s i( dv ( d apacirs in series add like resisrs in parallel eq
31 mbinain f apacirs apacirs in parallel i s v - i i i s v eq - K: i s i i Use law f he capacir relae vlage curren dv dv i s 0 d d 0 dv ( d i s eq apacirs in parallel add like resisrs in series
32 mbinain f apacirs Inducrs in Series v s i v - v - KV: v s v v Use law f he inducr relae vlage curren di di 0 d d 0 v s ( d eq v s di v ( di d Inducrs in series add like resisrs in series
33 mbinain f apacirs Inducrs in Parallel i s i i v - i s v eq - K: i s i i 0 Take derivaive f bh sides wih respec ime Use law f he capacir relae vlage curren di s d di d di s d di d v 0 v 0 di s d v
34 mbinain f apacirs Inducrs in Parallel i s i i v - di s d i s v eq - v v di d s eq Inducrs in parallel add like resisrs in parallel
35 Summary Symbl mbinain in Series mbinain in Parallel apacir Adds like resisrs in parallel Adds like resisrs in series Inducr Adds like resisrs in series Adds like resisrs in parallel
36 Elecrical Symbls ibrary fr Drawing Schemaics in PwerPin Fr bes resuls: Turn snap--grid-n D n scale he symbls library. Draw enire schemaic firs, hen scale desired size. Afer rain, press up/dwn and sideways arrw keys realign he cmpnen wih he grid. Acives Passives Surces Discrees
PHY305F Electronics Laboratory I. Section 2. AC Circuit Basics: Passive and Linear Components and Circuits. Basic Concepts
PHY305F Elecrnics abrary I Secin ircui Basics: Passie and inear mpnens and ircuis Basic nceps lernaing curren () circui analysis deals wih (sinusidally) ime-arying curren and lage signals whse ime aerage
More informationAP Physics 1 MC Practice Kinematics 1D
AP Physics 1 MC Pracice Kinemaics 1D Quesins 1 3 relae w bjecs ha sar a x = 0 a = 0 and mve in ne dimensin independenly f ne anher. Graphs, f he velciy f each bjec versus ime are shwn belw Objec A Objec
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 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 information5.1 Angles and Their Measure
5. Angles and Their Measure Secin 5. Nes Page This secin will cver hw angles are drawn and als arc lengh and rains. We will use (hea) represen an angle s measuremen. In he figure belw i describes hw yu
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 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 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 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 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 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 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 informationPhysics 111. Exam #1. September 28, 2018
Physics xam # Sepember 8, 08 ame Please read and fllw hese insrucins carefully: Read all prblems carefully befre aemping slve hem. Yur wrk mus be legible, and he rganizain clear. Yu mus shw all wrk, including
More informationEnergy Storage Devices
Energy Srage Deces Objece f ecure Descrbe The cnsrucn f an nducr Hw energy s sred n an nducr The elecrcal prperes f an nducr Relanshp beween lage, curren, and nducance; pwer; and energy Equalen nducance
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 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 information21.9 Magnetic Materials
21.9 Magneic Maerials The inrinsic spin and rbial min f elecrns gives rise he magneic prperies f maerials è elecrn spin and rbis ac as iny curren lps. In ferrmagneic maerials grups f 10 16-10 19 neighbring
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 informationDC-DC Switch-Mode Converters
- Swich-Mde nverers - cnverers are used : egulaed swich-mde pwer supplies, nrmally wih HF elecrical isla Mr drives, nrmally wihu an isla ransfrmer We will lk a he w basic dc-dc cnverer plgies: Sep-dwn
More informationDr. Kasra Etemadi February 20, 2007
Dr. Kasra Eeadi February, 7 Seady-Sae Sinusidal Analysis Sinusidal Surces: Elecric pwer disribued fr residences and businesses Radi cunicain All signal f pracical ineres are cpsed f sinusidal cpnens Furier
More informationSubject: Turbojet engines (continued); Design parameters; Effect of mass flow on thrust.
16.50 Leure 19 Subje: Turbje engines (ninued; Design parameers; Effe f mass flw n hrus. In his haper we examine he quesin f hw hse he key parameers f he engine bain sme speified perfrmane a he design ndiins,
More informationThe Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components
Upcming eens in PY05 Due ASAP: PY05 prees n WebCT. Submiing i ges yu pin ward yur 5-pin Lecure grade. Please ake i seriusly, bu wha cuns is wheher r n yu submi i, n wheher yu ge hings righ r wrng. Due
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 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 informationKinematics Review Outline
Kinemaics Review Ouline 1.1.0 Vecrs and Scalars 1.1 One Dimensinal Kinemaics Vecrs have magniude and direcin lacemen; velciy; accelerain sign indicaes direcin + is nrh; eas; up; he righ - is suh; wes;
More informationHall effect. Formulae :- 1) Hall coefficient RH = cm / Coulumb. 2) Magnetic induction BY 2
Page of 6 all effec Aim :- ) To deermine he all coefficien (R ) ) To measure he unknown magneic field (B ) and o compare i wih ha measured by he Gaussmeer (B ). Apparaus :- ) Gauss meer wih probe ) Elecromagne
More informationThe Buck Resonant Converter
EE646 Pwer Elecrnics Chaper 6 ecure Dr. Sam Abdel-Rahman The Buck Resnan Cnverer Replacg he swich by he resnan-ype swich, ba a quasi-resnan PWM buck cnverer can be shwn ha here are fur mdes f pera under
More informationCHAPTER 18: Electric Currents. Answers to Questions
CHTE : Elecric Currens nswers Quesins. mpere-hurs measures charge. The ampere is a charge per uni ime, an he hur is a ime, s he pruc is charge. mpere-hur f charge is 6 Culmbs f charge.. n he circui (n
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 information3 ) = 10(1-3t)e -3t A
haper 6, Sluin. d i ( e 6 e ) 0( - )e - A p i 0(-)e - e - 0( - )e -6 W haper 6, Sluin. w w (40)(80 (40)(0) ) ( ) w w w 0 0 80 60 kw haper 6, Sluin. i d 80 60 40x0 480 ma haper 6, Sluin 4. i (0) 6sin 4-0.7
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 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 informationCapacitance and Inductance. The Capacitor
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
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 informationEE C245 - ME C218 Introduction to MEMS Design Fall Today s Lecture
EE 45 - ME 8 Inrducin MEMS Dein Fall 003 Rer Hwe and Thara Sriniaan Lecure apaciie Piin Senin Tday Lecure The capacir a a piin enr apaciie enin cnfiurain: diider wih unbalanced, balanced drie Pracical
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 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 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 informationUnit-I (Feedback amplifiers) Features of feedback amplifiers. Presentation by: S.Karthie, Lecturer/ECE SSN College of Engineering
Uni-I Feedback ampliiers Feaures eedback ampliiers Presenain by: S.Karhie, Lecurer/ECE SSN Cllege Engineering OBJECTIVES T make he sudens undersand he eec negaive eedback n he llwing ampliier characerisics:
More informationMicrowave Engineering
Micrwave Engineering Cheng-Hsing Hsu Deparmen f Elecrical Engineering Nainal Unied Universiy Ouline. Transmissin ine Thery. Transmissin ines and Waveguides eneral Sluins fr TEM, TE, and TM waves ; Parallel
More informationPhysics Courseware Physics I Constant Acceleration
Physics Curseware Physics I Cnsan Accelerain Equains fr cnsan accelerain in dimensin x + a + a + ax + x Prblem.- In he 00-m race an ahlee acceleraes unifrmly frm res his p speed f 0m/s in he firs x5m as
More informationEE40 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 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 information10.7 Temperature-dependent Viscoelastic Materials
Secin.7.7 Temperaure-dependen Viscelasic Maerials Many maerials, fr example plymeric maerials, have a respnse which is srngly emperaure-dependen. Temperaure effecs can be incrpraed in he hery discussed
More information2.9 Modeling: Electric Circuits
SE. 2.9 Modeling: Elecric ircuis 93 2.9 Modeling: Elecric ircuis Designing good models is a ask he compuer canno do. Hence seing up models has become an imporan ask in modern applied mahemaics. The bes
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 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 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 informationReal Analog Chapter 6: Energy Storage Elements
1300 Henley C. Pullman, WA 99163 509.334.6306 www.sore.digilen.com 6 Inroducion and Chaper Objecives So far, we have considered circuis ha have been governed by algebraic relaions. These circuis have,
More informationLecture 4 ( ) Some points of vertical motion: Here we assumed t 0 =0 and the y axis to be vertical.
Sme pins f erical min: Here we assumed and he y axis be erical. ( ) y g g y y y y g dwnwards 9.8 m/s g Lecure 4 Accelerain The aerage accelerain is defined by he change f elciy wih ime: a ; In analgy,
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 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 informationName: Total Points: Multiple choice questions [120 points]
Name: Toal Poins: (Las) (Firs) Muliple choice quesions [1 poins] Answer all of he following quesions. Read each quesion carefully. Fill he correc bubble on your scanron shee. Each correc answer is worh
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 informationLinear Circuit Elements
1/25/2011 inear ircui Elemens.doc 1/6 inear ircui Elemens Mos microwave devices can be described or modeled in erms of he hree sandard circui elemens: 1. ESISTANE () 2. INDUTANE () 3. APAITANE () For he
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 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 informationPHYSICS 149: Lecture 9
PHYSICS 149: Lecure 9 Chaper 3 3.2 Velociy and Acceleraion 3.3 Newon s Second Law of Moion 3.4 Applying Newon s Second Law 3.5 Relaive Velociy Lecure 9 Purdue Universiy, Physics 149 1 Velociy (m/s) The
More informationR th is the Thevenin equivalent at the capacitor terminals.
Chaper 7, Slun. Applyng KV Fg. 7.. d 0 C - Takng he derae f each erm, d 0 C d d d r C Inegrang, () ln I 0 - () I 0 e - C C () () r - I 0 e - () V 0 e C C Chaper 7, Slun. h C where h s he Theenn equalen
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 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 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 informationBrace-Gatarek-Musiela model
Chaper 34 Brace-Gaarek-Musiela mdel 34. Review f HJM under risk-neural IP where f ( T Frward rae a ime fr brrwing a ime T df ( T ( T ( T d + ( T dw ( ( T The ineres rae is r( f (. The bnd prices saisfy
More information9. Alternating currents
WS 9. Alernaing currens 9.1 nroducion Besides ohmic resisors, capaciors and inducions play an imporan role in alernaing curren (AC circuis as well. n his experimen, one shall invesigae heir behaviour in
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 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 informationCHAPTER 5. Exercises. the coefficient of t so we have ω = 200π
HPTER 5 Exerises E5. (a) We are given v ( ) 5 s(π 3 ). The angular frequeny is he effiien f s we have ω π radian/s. Then f ω / π Hz T / f ms m / 5 / 6. Furhermre, v() aains a psiive peak when he argumen
More informationMaxwell s Equations and Electromagnetic Waves
Phsics 36: Waves Lecure 3 /9/8 Maxwell s quaions and lecromagneic Waves Four Laws of lecromagneism. Gauss Law qenc all da ρdv Inegral From From he vecor ideni da dv Therefore, we ma wrie Gauss Law as ρ
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 informationOptimization of Four-Button BPM Configuration for Small-Gap Beam Chambers
Opimizain f Fur-Bun BPM Cnfigurain fr Small-Gap Beam Chamers S. H. Kim Advanced Phn Surce Argnne Nainal Larary 9700 Suh Cass Avenue Argnne, Illinis 60439 USA Asrac. The cnfigurain f fur-un eam psiin mnirs
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 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 information6.003 Homework #9 Solutions
6.00 Homework #9 Soluions Problems. Fourier varieies a. Deermine he Fourier series coefficiens of he following signal, which is periodic in 0. x () 0 0 a 0 5 a k sin πk 5 sin πk 5 πk for k 0 a k 0 πk j
More informationRevelation of Soft-Switching Operation for Isolated DC to Single-phase AC Converter with Power Decoupling
Revelain f Sf-Swiching Operain fr Islaed DC Single-phase AC Cnverer wih wer Decupling Nagisa Takaka, Jun-ichi Ih Dep. f Elecrical Engineering Nagaka Universiy f Technlgy Nagaka, Niigaa, Japan nakaka@sn.nagakau.ac.jp,
More information6.01: Introduction to EECS I Lecture 8 March 29, 2011
6.01: Inroducion o EES I Lecure 8 March 29, 2011 6.01: Inroducion o EES I Op-Amps Las Time: The ircui Absracion ircuis represen sysems as connecions of elemens hrough which currens (hrough variables) flow
More informationMotion Along a Straight Line
PH 1-3A Fall 010 Min Alng a Sraigh Line Lecure Chaper (Halliday/Resnick/Walker, Fundamenals f Physics 8 h ediin) Min alng a sraigh line Sudies he min f bdies Deals wih frce as he cause f changes in min
More informationEECS 141: FALL 00 MIDTERM 2
Universiy of California College of Engineering Deparmen of Elecrical Engineering and Compuer Science J. M. Rabaey TuTh9:30-11am ee141@eecs EECS 141: FALL 00 MIDTERM 2 For all problems, you can assume he
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 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 informationSub Module 2.6. Measurement of transient temperature
Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,
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 informationNelson Primary School Written Calculation Policy
Addiin Fundain Y1 Y2 Children will engage in a wide variey f sngs, rhymes, games and aciviies. They will begin relae addiin cmbining w grups f bjecs. They will find ne mre han a given number. Cninue develp
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 informationChem. 6C Midterm 1 Version B October 19, 2007
hem. 6 Miderm Verin Ocber 9, 007 Name Suden Number ll wr mu be hwn n he exam fr parial credi. Pin will be aen ff fr incrrec r n uni. Nn graphing calcular and ne hand wrien 5 ne card are allwed. Prblem
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 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 information2.4 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 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 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 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 informationSolutions to Assignment 1
MA 2326 Differenial Equaions Insrucor: Peronela Radu Friday, February 8, 203 Soluions o Assignmen. Find he general soluions of he following ODEs: (a) 2 x = an x Soluion: I is a separable equaion as we
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 informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 31 Signals & Sysems Prof. Mark Fowler Noe Se #1 C-T Sysems: Convoluion Represenaion Reading Assignmen: Secion 2.6 of Kamen and Heck 1/11 Course Flow Diagram The arrows here show concepual flow beween
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 informationChapter Floating Point Representation
Chaper 01.05 Floaing Poin Represenaion Afer reading his chaper, you should be able o: 1. conver a base- number o a binary floaing poin represenaion,. conver a binary floaing poin number o is equivalen
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 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 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 informationSection 3.8, Mechanical and Electrical Vibrations
Secion 3.8, Mechanical and Elecrical Vibraions Mechanical Unis in he U.S. Cusomary and Meric Sysems Disance Mass Time Force g (Earh) Uni U.S. Cusomary MKS Sysem CGS Sysem fee f slugs seconds sec pounds
More information