Title Chapters HW Due date. Lab Due date 8 Sept Mon 2 Kirchoff s Laws NO LAB. 9 Sept Tue NO LAB 10 Sept Wed 3 Power
|
|
- Charles Fisher
- 5 years ago
- Views:
Transcription
1 Schedule Date Day Class No. Ttle Chapters HW Due date Lab Due date 8 Sept Mon Krchoff s Laws..3 NO LAB Exam 9 Sept Tue NO LAB 10 Sept Wed 3 Power Sept Thu NO LAB 1 Sept Fr Rectaton HW 1 13 Sept Sat 14 Sept Sun 15 Sept Mon 4 Ohm s Law Sept Tue LAB 1 ECEN 301 Dscusson # Krchhoff s Laws 1
2 Dne Source Neph 5:6 6 And we talk of Chrst, we rejoce n Chrst, we preach of Chrst, we prophesy of Chrst, and we wrte accordng to our propheces, that our chldren may know to what source they may look for a remsson of ther sns. ECEN 301 Dscusson # Krchhoff s Laws
3 Lecture Krchhoff s Current and Voltage Laws ECEN 301 Dscusson # Krchhoff s Laws 3
4 Charge Elektron: Greek word for amber ~600 B.C. t was dscoered that statc charge on a pece of amber could attract lght objects (feathers) Charge (q): fundamental electrc quantty Smallest amount of charge s that carred by an electron/proton (elementary charges): q e / q p / C Coulomb (C): basc unt of charge. ECEN 301 Dscusson # Krchhoff s Laws 4
5 Electrc Current Electrc current (): the rate of change (n tme) of charge passng through a predetermned area (IE the cross-sectonal area of a wre). Analogous to olume flow rate n hydraulcs Current () refers to q (dq) unts of charge that flow through a crosssectonal area (Area) n t (dt) unts of tme q t dq dt A Area Ampere (A): electrc current unt. 1 ampere = 1 coulomb/second (C/s) Poste current flow s n the drecton of poste charges (the opposte drecton of the actual electron moement) ECEN 301 Dscusson # Krchhoff s Laws 5
6 Charge and Current Example For a metal wre, fnd: The total charge (q) The current flowng n the wre () Gen Data: wre length = 1m wre dameter = x 10-3 m charge densty = n = 10 9 carrers/m 3 charge of an electron = q e = x charge carrer elocty = u = 19.9 x 10-6 m/s ECEN 301 Dscusson # Krchhoff s Laws 6
7 Charge and Current Example For a metal wre, fnd: The total charge (q) The current flowng n the wre () Gen Data: wre length = 1m wre dameter = x 10-3 m charge densty = n = 10 9 carrers/m 3 charge of an electron = q e = x charge carrer elocty = u = 19.9 x 10-6 m/s Volume length area Number of carrers olume carrer densty L r (1m ) 10 3 m N V n m 3 10 carrers 9 carrers 3 m 10 6 m 3 ECEN 301 Dscusson # Krchhoff s Laws 7
8 Charge and Current Example For a metal wre, fnd: The total charge (q) The current flowng n the wre () Gen Data: wre length = 1m wre dameter = x 10-3 m charge densty = n = 10 9 carrers/m 3 charge of an electron = q e = x charge carrer elocty = u = 19.9 x 10-6 m/s Charge number of carrers charge/carrer q N q e 10 3 carrers C / carrer C ECEN 301 Dscusson # Krchhoff s Laws 8
9 Charge and Current Example For a metal wre, fnd: The total charge (q) The current flowng n the wre () Gen Data: wre length = 1m wre dameter = x 10-3 m charge densty = n = 10 9 carrers/m 3 charge of an electron = q e = x charge carrer elocty = u = 19.9 x 10-6 m/s Current carrer charge densty q L 1A ( C / m) u( m / s) C / m 19.9 per unt 10 6 length m / s carrer elocty ECEN 301 Dscusson # Krchhoff s Laws 9
10 Krchhoff s Current Law (KCL) KCL: charge must be consered the sum of the currents at a node must equal zero. Node 1 n N 1 n V 1 3 At Node 1: = 0 OR: = 0 NB: a crcut must be CLOSED n order for current to flow ECEN 301 Dscusson # Krchhoff s Laws 10
11 Krchhoff s Current Law (KCL) Potental problem of too many branches on a sngle node: not enough current gettng to a branch Node V Suppose: all lghts hae the same resstance 4 needs 1A What must the alue of be? ECEN 301 Dscusson # Krchhoff s Laws 11
12 Krchhoff s Current Law (KCL) Potental problem of too many branches on a sngle node: not enough current gettng to a branch Node = V BUT: snce all resstances are the same: 1 = = 3 = 4 = 5 = 6 = n - 6 n = 0 6 n = 6(1A) = = 6A ECEN 301 Dscusson # Krchhoff s Laws 1
13 Krchhoff s Current Law (KCL) Example1: fnd 0 and 4 s = 5A, 1 = A, = -3A, 3 = 1.5A 0 1 s V s 3 4 ECEN 301 Dscusson # Krchhoff s Laws 13
14 Krchhoff s Current Law (KCL) Example1: fnd 0 and 4 s = 5A, 1 = A, = -3A, 3 = 1.5A Node a 0 1 s V s Node b 3 4 NB: Frst thng to do decde on unknown current drectons. If you select the wrong drecton t won t matter a negate current ndcates current s flowng n the opposte drecton. Must be consstent Once a current drecton s chosen must keep t Node c ECEN 301 Dscusson # Krchhoff s Laws 14
15 Krchhoff s Current Law (KCL) Example1: fnd 0 and 4 s = 5A, 1 = A, = -3A, 3 = 1.5A Node a 0 1 s V s Node b 3 4 Fnd 0 at Node a : A Fnd 4 at Node c : 4 s s A Node c ECEN 301 Dscusson # Krchhoff s Laws 15
16 Krchhoff s Current Law (KCL) Example: usng KCL fnd s1 and s 3 = A, 5 = 0A, = 3A, 4 = 1A s s1 R V s V s1 4 R 4 R R 5 ECEN 301 Dscusson # Krchhoff s Laws 16
17 Krchhoff s Current Law (KCL) Example: usng KCL fnd s1 and s 3 = A, 5 = 0A, = 3A, 4 = 1A V s1 s1 R R 3 s R 4 4 Supernode R 5 V s KCL at supernode : 3 5 A s1 3 5 s ECEN 301 Dscusson # Krchhoff s Laws 17
18 Krchhoff s Current Law (KCL) Example: usng KCL fnd s1 and s 3 = A, 5 = 0A, = 3A, 4 = 1A V s1 R Node a s1 R 3 s R R 5 V s KCL at Node a : s s1 s 0 3 1A s1 ECEN 301 Dscusson # Krchhoff s Laws 18
19 Voltage Mong charges n order to produce a current requres work Voltage: the work (energy) requred to moe a unt charge between two ponts Volt (V): the basc unt of oltage (named after Alessandro Volta) Volt (V): oltage unt. 1 Volt = 1 joule/coulomb (J/C) ECEN 301 Dscusson # Krchhoff s Laws 19
20 Voltage Voltage s also called potental dfference Very smlar to gratatonal potental energy Voltages are relate oltage at one node s measured relate to the oltage at another node Conenent to set the reference oltage to be zero a ba ab b ab => the work requred to moe a poste charge from termnal a to termnal b ba => the work requred to moe a poste charge from termnal b to termnal a ab = a - b ba = - ab ECEN 301 Dscusson # Krchhoff s Laws 0
21 Voltage Polarty of oltage drecton (for a gen current drecton) ndcates whether energy s beng absorbed or suppled a ab b a ba b Snce s gong from to energy s beng absorbed by the element (passe element) Snce s gong from to energy s beng suppled by the element (acte element) ECEN 301 Dscusson # Krchhoff s Laws 1
22 Voltage Polarty of oltage drecton (for a gen current drecton) ndcates whether energy s beng absorbed or suppled a ab b a a ba b Absorbng energy (load) (passe element) POSITIVE oltage V b ab Supplyng energy (source) (acte element) NEGATIVE oltage ECEN 301 Dscusson # Krchhoff s Laws
23 Voltage Ground: represents a specfc reference oltage Most often ground s physcally connected to the earth (the ground) Conenent to assgn a oltage of 0V to ground The ground symbol we ll use (earth ground) Another ground symbol (chass ground) ECEN 301 Dscusson # Krchhoff s Laws 4
24 Krchhoff s Voltage Law (KVL) KVL: energy must be consered the sum of the oltages n a closed crcut must equal zero. N n a n V b ab Use Node b as the reference oltage (ground): b = 0 ab 1 ab V ab a a ab b V ECEN 301 Dscusson # Krchhoff s Laws 5
25 Krchhoff s Voltage Law (KVL) Example3: usng KVL, fnd s1 = 1V, 1 = 6V, 3 = 1V 1 V s1 3 Source: loop traels from to termnals Sources hae negate oltage Load: loop traels from to termnals Loads hae poste oltage ECEN 301 Dscusson # Krchhoff s Laws 6
26 Krchhoff s Voltage Law (KVL) Example3: usng KVL, fnd s1 = 1V, 1 = 6V, 3 = 1V 1 V s1 3 Source: loop traels from to termnals Sources hae negate oltage Load: loop traels from to termnals Loads hae poste oltage ECEN 301 Dscusson # Krchhoff s Laws 7
27 Krchhoff s Voltage Law (KVL) Example3: usng KVL, fnd s1 = 1V, 1 = 6V, 3 = 1V V s1 1 3 s s1 1 5V NB: s the oltage across two elements n parallel branches. The oltage across both elements s the same: ECEN 301 Dscusson # Krchhoff s Laws 8
28 Krchhoff s Voltage Law (KVL) Example4: usng KVL fnd 1 and 4 s1 = 1V, s = -4V, = V, 3 = 6V, 5 = 1V 1 V s V s ECEN 301 Dscusson # Krchhoff s Laws 9
29 Krchhoff s Voltage Law (KVL) Example4: usng KVL fnd 1 and 4 s1 = 1V, s = -4V, = V, 3 = 6V, 5 = 1V 1 Loop1 Loop V s V s1 4 3 Loop3 5 ECEN 301 Dscusson # Krchhoff s Laws 30
30 Krchhoff s Voltage Law (KVL) Example4: usng KVL fnd 1 and 4 s1 = 1V, s = -4V, = V, 3 = 6V, 5 = 1V 1 V s1 Loop1 3 Loop 4 Loop3 5 V s s1 1 Loop 1: s1 1 4V 6 3 ECEN 301 Dscusson # Krchhoff s Laws 31
31 Krchhoff s Voltage Law (KVL) Example4: usng KVL fnd 1 and 4 s1 = 1V, s = -4V, = V, 3 = 6V, 5 = 1V 1 V s1 Loop1 3 Loop 4 Loop3 5 V s s Loop : s 4 6V ECEN 301 Dscusson # Krchhoff s Laws 3
matter consists, measured in coulombs (C) 1 C of charge requires electrons Law of conservation of charge: charge cannot be created or
Basc Concepts Oerew SI Prefxes Defntons: Current, Voltage, Power, & Energy Passe sgn conenton Crcut elements Ideal s Portland State Unersty ECE 221 Basc Concepts Ver. 1.24 1 Crcut Analyss: Introducton
More informationEE 2006 Electric Circuit Analysis Spring January 23, 2015 Lecture 02
EE 2006 Electrc Crcut Analyss Sprng 2015 January 23, 2015 Lecture 02 1 Lab 1 Dgtal Multmeter Lab nstructons Aalable onlne Prnt out and read before Lab MWAH 391, 4:00 7:00 pm, next Monday or Wednesday (January
More informationEE 2006 Electric Circuit Analysis Fall September 04, 2014 Lecture 02
EE 2006 Electrc Crcut Analyss Fall 2014 September 04, 2014 Lecture 02 1 For Your Informaton Course Webpage http://www.d.umn.edu/~jngba/electrc_crcut_analyss_(ee_2006).html You can fnd on the webpage: Lecture:
More informationSelected Student Solutions for Chapter 2
/3/003 Assessment Prolems Selected Student Solutons for Chapter. Frst note that we know the current through all elements n the crcut except the 6 kw resstor (the current n the three elements to the left
More informationCircuit Variables. Unit: volt (V = J/C)
Crcut Varables Scentfc nestgaton of statc electrcty was done n late 700 s and Coulomb s credted wth most of the dscoeres. He found that electrc charges hae two attrbutes: amount and polarty. There are
More informationAnnouncements. Lecture #2
Announcements Lectures wll be n 4 LeConte begnnng Frday 8/29 Addtonal dscusson TA Denns Chang (Sectons 101, 105) Offce hours: Mo 2-3 PM; Th 5-6 PM Lab sectons begn Tuesday 9/2 Read Experment #1 onlne Download
More information8.022 (E&M) Lecture 8
8.0 (E&M) Lecture 8 Topcs: Electromotve force Crcuts and Krchhoff s rules 1 Average: 59, MS: 16 Quz 1: thoughts Last year average: 64 test slghtly harder than average Problem 1 had some subtletes math
More informationKIRCHHOFF CURRENT LAW
KRCHHOFF CURRENT LAW ONE OF THE FUNDAMENTAL CONSERATON PRNCPLES N ELECTRCAL ENGNEERNG CHARGE CANNOT BE CREATED NOR DESTROYED NODES, BRANCHES, LOOPS A NODE CONNECTS SEERAL COMPONENTS. BUT T DOES NOT HOLD
More informationSections begin this week. Cancelled Sections: Th Labs begin this week. Attend your only second lab slot this week.
Announcements Sectons begn ths week Cancelled Sectons: Th 122. Labs begn ths week. Attend your only second lab slot ths week. Cancelled labs: ThF 25. Please check your Lab secton. Homework #1 onlne Due
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 informationi I (I + i) 3/27/2006 Circuits ( F.Robilliard) 1
4V I 2V (I + ) 0 0 --- 3V 1 2 4Ω 6Ω 3Ω 3/27/2006 Crcuts ( F.obllard) 1 Introducton: Electrcal crcuts are ubqutous n the modern world, and t s dffcult to oerstate ther mportance. They range from smple drect
More informationIntroduction to circuit analysis. Classification of Materials
Introducton to crcut analyss OUTLINE Electrcal quanttes Charge Current Voltage Power The deal basc crcut element Sgn conventons Current versus voltage (I-V) graph Readng: 1.2, 1.3,1.6 Lecture 2, Slde 1
More informationKirchhoff second rule
Krchhoff second rule Close a battery on a resstor: smplest crcut! = When the current flows n a resstor there s a voltage drop = How much current flows n the crcut? Ohm s law: Krchhoff s second law: Around
More informationElectrical Circuits 2.1 INTRODUCTION CHAPTER
CHAPTE Electrcal Crcuts. INTODUCTION In ths chapter, we brefly revew the three types of basc passve electrcal elements: resstor, nductor and capactor. esstance Elements: Ohm s Law: The voltage drop across
More informationMAE140 - Linear Circuits - Winter 16 Midterm, February 5
Instructons ME140 - Lnear Crcuts - Wnter 16 Mdterm, February 5 () 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 informationChapter 6 Electrical Systems and Electromechanical Systems
ME 43 Systems Dynamcs & Control Chapter 6: Electrcal Systems and Electromechancal Systems Chapter 6 Electrcal Systems and Electromechancal Systems 6. INTODUCTION A. Bazoune The majorty of engneerng systems
More informationPhysics 2102 Spring 2007 Lecture 10 Current and Resistance
esstance Is Futle! Physcs 0 Sprng 007 Jonathan Dowlng Physcs 0 Sprng 007 Lecture 0 Current and esstance Georg Smon Ohm (789-854) What are we gong to learn? A road map lectrc charge lectrc force on other
More informationElectrical Quantities, Circuit Elements, KCL. EE40, Summer 2004 Alessandro Pinto
Electrical Quantities, Circuit Elements, KCL EE40, Summer 2004 Alessandro Pinto apinto@eecs.berkeley.edu Announcements New schedule has been posted on-line Office hours moved in 463 Cory Hall No discussions
More informationGAUTENG DEPARTMENT OF EDUCATION SENIOR SECONDARY INTERVENTION PROGRAMME PHYSICAL SCIENCES GRADE 12 SESSION 1 (LEARNER NOTES)
PHYSICAL SCIENCES GRADE 1 SESSION 1 (LEARNER NOTES) TOPIC 1: MECHANICS PROJECTILE MOTION Learner Note: Always draw a dagram of the stuaton and enter all the numercal alues onto your dagram. Remember to
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 informationCollege of Engineering Department of Electronics and Communication Engineering. Test 1 With Model Answer
Name: Student D Number: Secton Number: 01/0/03/04 A/B Lecturer: Dr Jamaludn/ Dr Jehana Ermy/ Dr Azn Wat Table Number: College of Engneerng Department of Electroncs and Communcaton Engneerng Test 1 Wth
More informationChapter 6. Operational Amplifier. inputs can be defined as the average of the sum of the two signals.
6 Operatonal mpler Chapter 6 Operatonal mpler CC Symbol: nput nput Output EE () Non-nvertng termnal, () nvertng termnal nput mpedance : Few mega (ery hgh), Output mpedance : Less than (ery low) Derental
More informationCircuit Theory I
16.1 Crcut Theory I Tngshu Hu Offce: Ball Hall 45 Phone: 4374, Fax: 37 Emal: tngshu@gmal.com Offce Hours: 9-1am, 11am-1pm, Monday, Wednesday http://faculty.uml.edu/thu/ http://faculty.uml.edu/thu/16.1/materal.htm
More informationMAE140 Linear Circuits (for non-electrical engs)
MAE4 Lnear Crcuts (for non-electrcal engs) Topcs coered Crcut analyss technques Krchoff s Laws KVL, KCL Nodal and Mesh Analyss Théenn and Norton Equalent Crcuts Resste crcuts, RLC crcuts Steady-state and
More informationVote today! Physics 122, Fall November (c) University of Rochester 1. Today in Physics 122: applications of induction
Phscs 1, Fall 01 6 Noember 01 Toda n Phscs 1: applcatons of nducton Generators, motors and back EMF Transformers Edd currents Vote toda! Hdropower generators on the Nagara Rer below the Falls. The ste
More informationCircuit Theory I
16.1 Crcut Theory I Tngshu Hu Offce: Ball Hall 45 Phone: 4374, Fax: 37 Emal: tngshu_hu@uml.edu Offce Hours: MW: 1am-1pm http://faculty.uml.edu/thu/ http://faculty.uml.edu/thu/16.1/materal.htm http://faculty.uml.edu/thu/16.1/lecture_note.htm
More informationSurface Charge and Resistors
Surface Charge and Resstors Just after connecton: E may be the same everywhere nav naue thn thck na na thn thck ue ue After steady state s reached: thn thck na thn thck na thn thck ue thn ue thck E thn
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 informationG = G 1 + G 2 + G 3 G 2 +G 3 G1 G2 G3. Network (a) Network (b) Network (c) Network (d)
Massachusetts Insttute of Technology Department of Electrcal Engneerng and Computer Scence 6.002 í Electronc Crcuts Homework 2 Soluton Handout F98023 Exercse 21: Determne the conductance of each network
More information6.01: Introduction to EECS I Lecture 7 March 15, 2011
6.0: Introducton to EECS I Lecture 7 March 5, 20 6.0: Introducton to EECS I Crcuts The Crcut Abstracton Crcuts represent systems as connectons of elements through whch currents (through arables) flow and
More informationCircuits II EE221. Instructor: Kevin D. Donohue. Instantaneous, Average, RMS, and Apparent Power, and, Maximum Power Transfer, and Power Factors
Crcuts II EE1 Unt 3 Instructor: Ken D. Donohue Instantaneous, Aerage, RMS, and Apparent Power, and, Maxmum Power pp ransfer, and Power Factors Power Defntons/Unts: Work s n unts of newton-meters or joules
More informationDC Circuits. Crossing the emf in this direction +ΔV
DC Crcuts Delverng a steady flow of electrc charge to a crcut requres an emf devce such as a battery, solar cell or electrc generator for example. mf stands for electromotve force, but an emf devce transforms
More information6.01: Introduction to EECS 1 Week 6 October 15, 2009
6.0: ntroducton to EECS Week 6 October 5, 2009 6.0: ntroducton to EECS Crcuts The Crcut Abstracton Crcuts represent systems as connectons of component through whch currents (through arables) flow and across
More informationE40M Device Models, Resistors, Voltage and Current Sources, Diodes, Solar Cells. M. Horowitz, J. Plummer, R. Howe 1
E40M Devce Models, Resstors, Voltage and Current Sources, Dodes, Solar Cells M. Horowtz, J. Plummer, R. Howe 1 Understandng the Solar Charger Lab Project #1 We need to understand how: 1. Current, voltage
More informationFE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)( ) 8/25/2010
FE REVEW OPERATONAL AMPLFERS (OP-AMPS)( ) 1 The Op-amp 2 An op-amp has two nputs and one output. Note the op-amp below. The termnal labeled l wth the (-) sgn s the nvertng nput and the nput labeled wth
More informationPhysics 4B. Question and 3 tie (clockwise), then 2 and 5 tie (zero), then 4 and 6 tie (counterclockwise) B i. ( T / s) = 1.74 V.
Physcs 4 Solutons to Chapter 3 HW Chapter 3: Questons:, 4, 1 Problems:, 15, 19, 7, 33, 41, 45, 54, 65 Queston 3-1 and 3 te (clockwse), then and 5 te (zero), then 4 and 6 te (counterclockwse) Queston 3-4
More informationECE 320 Energy Conversion and Power Electronics Dr. Tim Hogan. Chapter 1: Introduction and Three Phase Power
ECE 3 Energy Conerson and Power Electroncs Dr. Tm Hogan Chapter : ntroducton and Three Phase Power. eew of Basc Crcut Analyss Defntons: Node - Electrcal juncton between two or more deces. Loop - Closed
More informationTUTORIAL PROBLEMS. E.1 KCL, KVL, Power and Energy. Q.1 Determine the current i in the following circuit. All units in VAΩ,,
196 E TUTORIAL PROBLEMS E.1 KCL, KVL, Power and Energy Q.1 Determne the current n the followng crcut. 3 5 3 8 9 6 5 Appendx E Tutoral Problems 197 Q. Determne the current and the oltage n the followng
More information55:141 Advanced Circuit Techniques Two-Port Theory
55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 205 Two-Port Theory, Slde Two-Port Networks Note, the BJT s all are hghly
More informationUnit 1. Current and Voltage U 1 VOLTAGE AND CURRENT. Circuit Basics KVL, KCL, Ohm's Law LED Outputs Buttons/Switch Inputs. Current / Voltage Analogy
..2 nt Crcut Bascs KVL, KCL, Ohm's Law LED Outputs Buttons/Swtch Inputs VOLTAGE AND CRRENT..4 Current and Voltage Current / Voltage Analogy Charge s measured n unts of Coulombs Current Amount of charge
More informationEnergy Storage Elements: Capacitors and Inductors
CHAPTER 6 Energy Storage Elements: Capactors and Inductors To ths pont n our study of electronc crcuts, tme has not been mportant. The analyss and desgns we hae performed so far hae been statc, and all
More informationAdvanced Circuits Topics - Part 1 by Dr. Colton (Fall 2017)
Advanced rcuts Topcs - Part by Dr. olton (Fall 07) Part : Some thngs you should already know from Physcs 0 and 45 These are all thngs that you should have learned n Physcs 0 and/or 45. Ths secton s organzed
More informationKey component in Operational Amplifiers
Key component n Operatonal Amplfers Objectve of Lecture Descrbe how dependent voltage and current sources functon. Chapter.6 Electrcal Engneerng: Prncples and Applcatons Chapter.6 Fundamentals of Electrc
More informationUNIVERSITY OF UTAH ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT. 10k. 3mH. 10k. Only one current in the branch:
UNIERSITY OF UTH ELECTRICL & COMPUTER ENGINEERING DEPRTMENT ECE 70 HOMEWORK #6 Soluton Summer 009. fter beng closed a long tme, the swtch opens at t = 0. Fnd (t) for t > 0. t = 0 0kΩ 0kΩ 3mH Step : (Redraw
More informationElectricity and Magnetism Lecture 07 - Physics 121 Current, Resistance, DC Circuits: Y&F Chapter 25 Sect. 1-5 Kirchhoff s Laws: Y&F Chapter 26 Sect.
Electrcty and Magnetsm Lecture 07 - Physcs Current, esstance, DC Crcuts: Y&F Chapter 5 Sect. -5 Krchhoff s Laws: Y&F Chapter 6 Sect. Crcuts and Currents Electrc Current Current Densty J Drft Speed esstance,
More informationECSE Linearity Superposition Principle Superposition Example Dependent Sources. 10 kω. 30 V 5 ma. 6 kω. 2 kω
S-00 Lnearty Superposton Prncple Superposton xample Dependent Sources Lecture 4. sawyes@rp.edu www.rp.edu/~sawyes 0 kω 6 kω 8 V 0 V 5 ma 4 Nodes Voltage Sources Ref Unknown Node Voltage, kω If hae multple
More informationElectrical Circuits II (ECE233b)
Electrcal Crcuts (ECE33b SteadyState Power Analyss Anests Dounas The Unersty of Western Ontaro Faculty of Engneerng Scence SteadyState Power Analyss (t AC crcut: The steady state oltage and current can
More informationNotes on Electricity (Circuits)
A circuit is defined to be a collection of energy-givers (batteries) and energy-takers (resistors, light bulbs, radios, etc.) that form a closed path (or complete path) through which electrical current
More informationDiode. Current HmAL Voltage HVL Simplified equivalent circuit. V γ. Reverse bias. Forward bias. Designation: Symbol:
Dode Materal: Desgnaton: Symbol: Poste Current flow: ptype ntype Anode Cathode Smplfed equalent crcut Ideal dode Current HmAL 0 8 6 4 2 Smplfed model 0.5.5 2 V γ eal dode Voltage HVL V γ closed open V
More informationLecture #4 Capacitors and Inductors Energy Stored in C and L Equivalent Circuits Thevenin Norton
EES ntro. electroncs for S Sprng 003 Lecture : 0/03/03 A.R. Neureuther Verson Date 0/0/03 EES ntroducton to Electroncs for omputer Scence Andrew R. Neureuther Lecture # apactors and nductors Energy Stored
More informationBoise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab
Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment
More informationCHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation:
HPT 3 xercses 3. The emtter current s gen by the Shockley equaton: S exp VT For operaton wth, we hae exp >> S >>, and we can wrte VT S exp VT Solng for, we hae 3. 0 6ln 78.4 mv 0 0.784 5 4.86 V VT ln 4
More informationFormulation of Circuit Equations
ECE 570 Sesson 2 IC 752E Computer Aded Engneerng for Integrated Crcuts Formulaton of Crcut Equatons Bascs of crcut modelng 1. Notaton 2. Crcut elements 3. Krchoff laws 4. ableau formulaton 5. Modfed nodal
More informationIndependent Device Currents
Independent Dece Currents j Snce KCL = j k k Only one ndependent current can be defned for each termnal dece. Snce KCL = Only ndependent currents can be defned for a termnal dece. Snce KVL = Only ndependent
More informationVoltage and Current Laws
CHAPTER 3 Voltage and Current Laws KEY CONCEPTS INTRODUCTION In Chap. 2 we were ntroduced to ndependent voltage and current sources, dependent sources, and resstors. We dscovered that dependent sources
More informationComplex Numbers, Signals, and Circuits
Complex Numbers, Sgnals, and Crcuts 3 August, 009 Complex Numbers: a Revew Suppose we have a complex number z = x jy. To convert to polar form, we need to know the magntude of z and the phase of z. z =
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 informationINDUCTANCE. RC Cicuits vs LR Circuits
INDUTANE R cuts vs LR rcuts R rcut hargng (battery s connected): (1/ )q + (R)dq/ dt LR rcut = (R) + (L)d/ dt q = e -t/ R ) = / R(1 - e -(R/ L)t ) q ncreases from 0 to = dq/ dt decreases from / R to 0 Dschargng
More informationEngineering Fundamentals and Problem Solving, 6e
Engineering Fundamentals and Problem Solving, 6e Chapter 17 Electrical Circuits Chapter Objectives Compute the equivalent resistance of resistors in series and in parallel Apply Ohm s law to a resistive
More informationFE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)
FE EIEW OPEATIONAL AMPLIFIES (OPAMPS) 1 The Opamp An opamp has two nputs and one output. Note the opamp below. The termnal labeled wth the () sgn s the nvertng nput and the nput labeled wth the () sgn
More informationRevision: December 13, E Main Suite D Pullman, WA (509) Voice and Fax
.9.1: AC power analyss Reson: Deceber 13, 010 15 E Man Sute D Pullan, WA 99163 (509 334 6306 Voce and Fax Oerew n chapter.9.0, we ntroduced soe basc quanttes relate to delery of power usng snusodal sgnals.
More informationLinearity. If kx is applied to the element, the output must be ky. kx ky. 2. additivity property. x 1 y 1, x 2 y 2
Lnearty An element s sad to be lnear f t satsfes homogenety (scalng) property and addte (superposton) property. 1. homogenety property Let x be the nput and y be the output of an element. x y If kx s appled
More informationMAE140 Linear Circuits (for non-electrical engs)
MAE4 Lnear Crcuts (for non-electrcal engs) Topcs coered Crcut analyss technques Krchoff s Laws KVL, KCL Nodal and Mesh Analyss Théenn and Norton Equalent Crcuts Resste crcuts, RLC crcuts Steady-state and
More informationCollege of Engineering Department of Electronics and Communication Engineering. Test 2
Name: Student D Number: Secton Number: 01/0/03/04 A/B Lecturer: Dr Jamaludn/ Dr Azn Wat/ Dr Jehana Ermy/ Prof Md Zan Table Number: ollege of Engneerng Department of Electroncs and ommuncaton Engneerng
More informationPhysics Electricity and Magnetism Lecture 12 - Inductance, RL Circuits. Y&F Chapter 30, Sect 1-4
Physcs - lectrcty and Magnetsm ecture - Inductance, Crcuts Y&F Chapter 30, Sect - 4 Inductors and Inductance Self-Inductance Crcuts Current Growth Crcuts Current Decay nergy Stored n a Magnetc Feld nergy
More informationKIRCHHOFF CURRENT LAW
KRCHHOFF CURRENT LAW One of the fundamental conservation principles n electrical engineering CHARGE CANNOT BE CREATED NOR DESTROYED NODES, BRANCHES, LOOPS A NODE CONNECTS SEERAL COMPONENTS. BUT T DOES
More informationEE C245 ME C218 Introduction to MEMS Design
EE C45 ME C8 Introducton to MEM Desgn Fall 7 Prof. Clark T.C. Nguyen Dept. of Electrcal Engneerng & Computer cences Unersty of Calforna at Berkeley Berkeley, C 947 Dscusson: eew of Op mps EE C45: Introducton
More informationCOLLEGE OF ENGINEERING PUTRAJAYA CAMPUS FINAL EXAMINATION SPECIAL SEMESTER 2013 / 2014
OLLEGE OF ENGNEENG PUTAJAYA AMPUS FNAL EXAMNATON SPEAL SEMESTE 03 / 04 POGAMME SUBJET ODE SUBJET : Bachelor of Electrcal & Electroncs Engneerng (Honours) Bachelor of Electrcal Power Engneerng (Honours)
More informationDEMO #8 - GAUSSIAN ELIMINATION USING MATHEMATICA. 1. Matrices in Mathematica
demo8.nb 1 DEMO #8 - GAUSSIAN ELIMINATION USING MATHEMATICA Obectves: - defne matrces n Mathematca - format the output of matrces - appl lnear algebra to solve a real problem - Use Mathematca to perform
More informationBasic Electrical Circuits Analysis ECE 221
Basic Electrical Circuits Analysis ECE 221 PhD. Khodr Saaifan http://trsys.faculty.jacobs-university.de k.saaifan@jacobs-university.de 1 2 Reference: Electric Circuits, 8th Edition James W. Nilsson, and
More informationNotes on Electricity (Circuits)
A circuit is defined to be a collection of energy-givers (active elements) and energy-takers (passive elements) that form a closed path (or complete path) through which electrical current can flow. The
More informationPhysics 2113 Lecture 14: WED 18 FEB
Physcs 2113 Jonathan Dowlng Physcs 2113 Lecture 14: WED 18 FEB Electrc Potental II Danger! Electrc Potental Energy, Unts : Electrc Potental Potental Energy = U = [J] = Joules Electrc Potental = V = U/q
More informationPHY2049 Exam 2 solutions Fall 2016 Solution:
PHY2049 Exam 2 solutons Fall 2016 General strategy: Fnd two resstors, one par at a tme, that are connected ether n SERIES or n PARALLEL; replace these two resstors wth one of an equvalent resstance. Now
More informationChapter 10 Sinusoidal Steady-State Power Calculations
Chapter 0 Snusodal Steady-State Power Calculatons n Chapter 9, we calculated the steady state oltages and currents n electrc crcuts dren by snusodal sources. We used phasor ethod to fnd the steady state
More informationCurrent and Resistance
7 Current and esstance Clcker Questons Queston N. Descrpton: Developng an understandng of resstance and resstvty. Queston n ohmc conductor s carryng a current. The cross-sectonal area of the wre changes
More informationChapter 2. Pythagorean Theorem. Right Hand Rule. Position. Distance Formula
Chapter Moton n One Dmenson Cartesan Coordnate System The most common coordnate system or representng postons n space s one based on three perpendcular spatal axes generally desgnated x, y, and z. Any
More informationPES 1120 Spring 2014, Spendier Lecture 6/Page 1
PES 110 Sprng 014, Spender Lecture 6/Page 1 Lecture today: Chapter 1) Electrc feld due to charge dstrbutons -> charged rod -> charged rng We ntroduced the electrc feld, E. I defned t as an nvsble aura
More informationChapter 27. Basic Electric Circuits CHAPTER 27 ELECTRIC FIELDS AND CONDUCTORS
hapter 27 Basc Electrc rcuts HAPTE 27 ELETI FIELDS AND ONDUTOS In the modern age (post 1870) we have been surrounded by electrc crcuts. House wrng s our most famlar example, but we have become ncreasngly
More informationBoise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab
Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment
More informationModeling motion with VPython Every program that models the motion of physical objects has two main parts:
1 Modelng moton wth VPython Eery program that models the moton o physcal objects has two man parts: 1. Beore the loop: The rst part o the program tells the computer to: a. Create numercal alues or constants
More informationWYSE Academic Challenge 2004 State Finals Physics Solution Set
WYSE Acaemc Challenge 00 State nals Physcs Soluton Set. Answer: c. Ths s the enton o the quantty acceleraton.. Answer: b. Pressure s orce per area. J/m N m/m N/m, unts o orce per area.. Answer: e. Aerage
More informationFields, Charges, and Field Lines
Felds, Charges, and Feld Lnes Electrc charges create electrc felds. (Gauss Law) Electrc feld lnes begn on + charges and end on - charges. Lke charges repel, oppostes attract. Start wth same dea for magnetc
More informationElectric Circuits I. Nodal Analysis. Dr. Firas Obeidat
Electric Circuits I Nodal Analysis Dr. Firas Obeidat 1 Nodal Analysis Without Voltage Source Nodal analysis, which is based on a systematic application of Kirchhoff s current law (KCL). A node is defined
More informationFEEDBACK AMPLIFIERS. v i or v s v 0
FEEDBCK MPLIFIERS Feedback n mplers FEEDBCK IS THE PROCESS OF FEEDING FRCTION OF OUTPUT ENERGY (VOLTGE OR CURRENT) BCK TO THE INPUT CIRCUIT. THE CIRCUIT EMPLOYED FOR THIS PURPOSE IS CLLED FEEDBCK NETWORK.
More informationELG 2135 ELECTRONICS I SECOND CHAPTER: OPERATIONAL AMPLIFIERS
ELG 35 ELECTONICS I SECOND CHAPTE: OPEATIONAL AMPLIFIES Sesson Wnter 003 Dr. M. YAGOUB Second Chapter: Operatonal amplfers II - _ After reewng the basc aspects of amplfers, we wll ntroduce a crcut representng
More informationDriving your LED s. LED Driver. The question then is: how do we use this square wave to turn on and turn off the LED?
0//00 rng your LE.doc / rng your LE s As we hae preously learned, n optcal communcaton crcuts, a dgtal sgnal wth a frequency n the tens or hundreds of khz s used to ampltude modulate (on and off) the emssons
More informationI. INTRODUCTION. 1.1 Circuit Theory Fundamentals
I. INTRODUCTION 1.1 Crcut Theory Fundamentals Crcut theory s an approxmaton to Maxwell s electromagnetc equatons n order to smplfy analyss of complcated crcuts. A crcut s made of seeral elements (boxes
More informationFundamental loop-current method using virtual voltage sources technique for special cases
Fundamental loop-current method usng vrtual voltage sources technque for specal cases George E. Chatzaraks, 1 Marna D. Tortorel 1 and Anastasos D. Tzolas 1 Electrcal and Electroncs Engneerng Departments,
More informationCHAPTER 8 COMPLETE RESPONSE OF RC & RL CIRCUITS
HAPTER 8 OMPETE RESPONSE OF R & R IRUITS The order of the crcut s defned by the number of rreducble storage elements n the crcut. In ths chapter, we wll fnd the complete response of a frst-order crcut;
More informationEMU Physics Department.
Physcs 0 Lecture 9 Lnear Momentum and Collsons Assst. Pro. Dr. Al ÖVGÜN EMU Physcs Department www.aogun.com Lnear Momentum q Conseraton o Energy q Momentum q Impulse q Conseraton o Momentum q -D Collsons
More informationModule B3 3.1 Sinusoidal steady-state analysis (single-phase), a review 3.2 Three-phase analysis. Kirtley
Module B3 3.1 Snusodal steady-state analyss (sngle-phase), a reew 3. hree-phase analyss Krtley Chapter : AC oltage, Current and Power.1 Sources and Power. Resstors, Inductors, and Capactors Chapter 4:
More informationCoupling Element and Coupled circuits. Coupled inductor Ideal transformer Controlled sources
Couplng Element and Coupled crcuts Coupled nductor Ideal transformer Controlled sources Couplng Element and Coupled crcuts Coupled elements hae more that one branch and branch oltages or branch currents
More informationElectric Circuits. June 12, 2013
Electric Circuits June 12, 2013 Definitions Coulomb is the SI unit for an electric charge. The symbol is "C". Electric Current ( I ) is the flow of electrons per unit time. It is measured in coulombs per
More informationI. INTRODUCTION. There are two other circuit elements that we will use and are special cases of the above elements. They are:
I. INTRODUCTION 1.1 Crcut Theory Fundamentals In ths course we study crcuts wth non-lnear elements or deces (dodes and transstors). We wll use crcut theory tools to analyze these crcuts. Snce some of tools
More information4.1 The Ideal Diode. Reading Assignment: pp Before we get started with ideal diodes, let s first recall linear device behavior!
1/25/2012 secton3_1the_ideal_ode 1/2 4.1 The Ideal ode Readng Assgnment: pp.165-172 Before we get started wth deal dodes, let s frst recall lnear dece behaor! HO: LINEAR EVICE BEHAVIOR Now, the deal dode
More information1 S = G R R = G. Enzo Paterno
ECET esistie Circuits esistie Circuits: - Ohm s Law - Kirchhoff s Laws - Single-Loop Circuits - Single-Node Pair Circuits - Series Circuits - Parallel Circuits - Series-Parallel Circuits Enzo Paterno ECET
More information3.2 Terminal Characteristics of Junction Diodes (pp )
/9/008 secton3_termnal_characterstcs_of_juncton_odes.doc /6 3. Termnal Characterstcs of Juncton odes (pp.47-53) A Juncton ode I.E., A real dode! Smlar to an deal dode, ts crcut symbol s: HO: The Juncton
More informationE40M Charge, Current, Voltage and Electrical Circuits KCL, KVL, Power & Energy Flow. M. Horowitz, J. Plummer, R. Howe 1
E40M Charge, Current, Voltage and Electrical Circuits KCL, KVL, Power & Energy Flow M. Horowitz, J. Plummer, R. Howe 1 Reading For Topics In These Slides Chapter 1 in the course reader OR A&L 1.6-1.7 -
More informationELECTRONIC DEVICES. Assist. prof. Laura-Nicoleta IVANCIU, Ph.D. C13 MOSFET operation
ELECTRONIC EVICES Assst. prof. Laura-Ncoleta IVANCIU, Ph.. C13 MOSFET operaton Contents Symbols Structure and physcal operaton Operatng prncple Transfer and output characterstcs Quescent pont Operatng
More information55:141 Advanced Circuit Techniques Two-Port Theory
55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde What Are Two-Ports? Basc dea: replace a complex
More information