Lecture 8: 09/18/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction Digital Electronics Andrew R. Neureuther

Size: px
Start display at page:

Download "Lecture 8: 09/18/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction Digital Electronics Andrew R. Neureuther"

Transcription

1 EECS ntroduction Digital Electronics ndrew. Neureuther Lecture #8 Node Equations Systematic Node Equations Example: oltage and Current Dividers Example 5 Element Circuit Schwarz and Oldham 5-58,.5, &.6 Quiz 9/5 0 min: asic Circuit nalysis and asic Transient Midterm 0/: Lectures # -9: Topics See slide Length/Credit eview T First Midterm Exam: Topics asic Circuit nalysis (KL, KCL) Equivalent Circuits and Graphical Solutions for Nonlinear Loads Transients in Single Capacitor Circuits Node nalysis Technique and Checking Solutions Exam is in class 9:0-0:5 M, Closed book, Closed notes, ring a calculator, Paper provided

2 Class nput on Midterm/eview Midterm Options Option : 65 min and % of grade in course (Final is 9%) Option : 80 min and 8% of grade in course (Final is 9%) eview Options Date Tu 9/0 or Wed 0/ Time 5-6:0 PM or Other FOML CCUT NLYSS Systematic approaches to writing down KCL and KL: Section. of Text - n particular use of KCL gives NODL NLYSS Mathematical foundation is rigorous: EE 0 Circuit Theory Nodal nalysis: Node voltages are the unknowns Mesh nalysis: ranch currents are the unknowns Use one or the other for circuit analysis We will do only nodal analysis (because voltages make more convenient variables than currents) Thus omit Text Section. ; it is redundant.

3 THE CHCTESTCS OF N ELEMENT LLOW ETHE NODL O MESH (LOOP) NLYSS EEW FO ESSTO: OHM S Law i f we use associated current and voltage (i.e., i is defined as into v terminal), then v = i (Ohm s law) i Z Y nother version of the same statement, and the one most important to us: i = ( Z Y )/ (Ohm s law) NOTE ODE OF NODES: Z Y! FOML CCUT NLYSS USNG KCL: NODL NLYSS (Memorize these steps and apply them rigorously!) Choose a eference Node Define unknown node voltages (those not fixed by voltage sources) Write KCL at each unknown node, expressing current in terms of the node voltages (using the constitutive relationships of branch elements*) Solve the set of equations (N equations for N unknown node voltages) * With inductors or floating voltages we will use a modified Step : The Supernode Method see Lecture #8

4 NODL NLYSS USNG KCL Example: The oltage Divider Choose reference node Define unknown node voltages Write KCL at unknown nodes i SS i Solve: SS 0 = = SS This is of course the voltage divider formula and is by itself very useful. ESSTOS N PLLEL X Select eference Node Define unknown node voltages SS Note: ss =, i.e., X X SS = X = SS = SS ESULT EQULENT ESSTNCE: = ESULT CUENT DDE: X = = SS X = = SS

5 GENELZED OLTGE DDE (solved without Nodal nalysis) Circuit with several resistors in series SS?? We know = SS /( ) Thus, = SS and = SS etc.. etc.. WHEN S OLTGE DDE FOMUL COECT? SS SS Z X i 5 = SS Correct if nothing else connected to nodes Z SS because 5 removes condition of resistors in series i.e. i What is Z? 5

6 DENTFYNG SEES ND PLLEL COMNTONS Use series/parallel equivalents to simplify a circuit before starting KL/KCL eq parallel 5 = = = 0 K = 5 = 5 K 6 6 = 0 K 0 K ( ) = eq X? Please note the order of math operators here! DENTFYNG SEES ND PLLEL COMNTONS (cont.) Some circuits must be analyzed (not amenable to simple inspection) and are not in 5 - and 5 are not in series Special cases: = 0 O = 5 Example: = 0 ; 5 in series; eq = 5 O F = ( 5 ) ( ) 6

7 NOTHE EXMPLE OF NODL NLYSS Choose a reference node and define the node voltages (except reference node and the one set by the voltage source); node voltage known a b - S reference node pply KCL: Note the systematic use of the present a a b a node minus each of the other nodes = 0 divided by the element resistance that connects them. b a b S = 0 You can solve for a, b. What if we used different ref node? EXMPLE : Thevenin/Norton Find the Thévenin and Norton equivalents of: Find = OC from voltage divider. : KΩ KΩ f open circuit, = OC = X / = f - is shorted, SC = - /K = - m (into ) 0 TH = = K equivalent to K and equivalent to m K Thévenin Norton 7

8 EXMPLE Thevenin/Norton Continued n what sense is this circuit KΩ equivalent to these? K KΩ - m K They have identical - characteristics and therefore have The same open circuit voltage The same short circuit current Find the Thévenin and Norton equivalents of: Find Norton equivalent of circuit leg on the left: KΩ K m EXMPLE Thevenin/Norton KΩ m equivalent to.k (m and K) Two Norton circuits in parallel So, TH = N N = TH = N = / K Thus combine current sources (=) = N and combine resistors in parallel: 8/6 K = N and equivalent to m. K Thévenin Norton 8

Lecture 10: 09//25/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction to Digital Electronics Andrew R. Neureuther

Lecture 10: 09//25/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction to Digital Electronics Andrew R. Neureuther EECS 42 Intro. Digital Electronics Fall 23 Lecture : 9//25/3.R. Neureuther Version Date 9/4/3 EECS 42 Introduction to Digital Electronics ndrew R. Neureuther Lecture # Prof. King: asic Digital locks 2

More information

NODAL ANALYSIS CONTINUED

NODAL ANALYSIS CONTINUED EES 4 Spring 00 Lecture 0 opyright egents of University of alifornia W. G. Oldham NODAL ANALY ONTNUED Lecture 9 review: Formal nodal analysis oltage divider example Today: Nodal analysis with floating

More information

Chapter 10 AC Analysis Using Phasors

Chapter 10 AC Analysis Using Phasors Chapter 10 AC Analysis Using Phasors 10.1 Introduction We would like to use our linear circuit theorems (Nodal analysis, Mesh analysis, Thevenin and Norton equivalent circuits, Superposition, etc.) to

More information

EE40. Lec 3. Basic Circuit Analysis. Prof. Nathan Cheung. Reading: Hambley Chapter 2

EE40. Lec 3. Basic Circuit Analysis. Prof. Nathan Cheung. Reading: Hambley Chapter 2 EE40 Lec 3 Basic Circuit Analysis Prof. Nathan Cheung 09/03/009 eading: Hambley Chapter Slide Outline Chapter esistors in Series oltage Divider Conductances in Parallel Current Divider Node-oltage Analysis

More information

Chapter 5. Department of Mechanical Engineering

Chapter 5. Department of Mechanical Engineering Source Transformation By KVL: V s =ir s + v By KCL: i s =i + v/r p is=v s /R s R s =R p V s /R s =i + v/r s i s =i + v/r p Two circuits have the same terminal voltage and current Source Transformation

More information

4/27 Friday. I have all the old homework if you need to collect them.

4/27 Friday. I have all the old homework if you need to collect them. 4/27 Friday Last HW: do not need to turn it. Solution will be posted on the web. I have all the old homework if you need to collect them. Final exam: 7-9pm, Monday, 4/30 at Lambert Fieldhouse F101 Calculator

More information

MAE140 - Linear Circuits - Fall 14 Midterm, November 6

MAE140 - Linear Circuits - Fall 14 Midterm, November 6 MAE140 - Linear Circuits - Fall 14 Midterm, November 6 Instructions (i) This exam is open book. You may use whatever written materials you choose, including your class notes and textbook. You may use a

More information

Midterm Exam (closed book/notes) Tuesday, February 23, 2010

Midterm Exam (closed book/notes) Tuesday, February 23, 2010 University of California, Berkeley Spring 2010 EE 42/100 Prof. A. Niknejad Midterm Exam (closed book/notes) Tuesday, February 23, 2010 Guidelines: Closed book. You may use a calculator. Do not unstaple

More information

ECE2262 Electric Circuits

ECE2262 Electric Circuits ECE2262 Electric Circuits Equivalence Chapter 5: Circuit Theorems Linearity Superposition Thevenin s and Norton s Theorems Maximum Power Transfer Analysis of Circuits Using Circuit Theorems 1 5. 1 Equivalence

More information

Sinusoidal Steady State Analysis (AC Analysis) Part I

Sinusoidal Steady State Analysis (AC Analysis) Part I Sinusoidal Steady State Analysis (AC Analysis) Part I Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

Notes for course EE1.1 Circuit Analysis TOPIC 10 2-PORT CIRCUITS

Notes for course EE1.1 Circuit Analysis TOPIC 10 2-PORT CIRCUITS Objectives: Introduction Notes for course EE1.1 Circuit Analysis 4-5 Re-examination of 1-port sub-circuits Admittance parameters for -port circuits TOPIC 1 -PORT CIRCUITS Gain and port impedance from -port

More information

ECE2262 Electric Circuits. Chapter 5: Circuit Theorems

ECE2262 Electric Circuits. Chapter 5: Circuit Theorems ECE2262 Electric Circuits Chapter 5: Circuit Theorems 1 Equivalence Linearity Superposition Thevenin s and Norton s Theorems Maximum Power Transfer Analysis of Circuits Using Circuit Theorems 2 5. 1 Equivalence

More information

Electric Circuits II Sinusoidal Steady State Analysis. Dr. Firas Obeidat

Electric Circuits II Sinusoidal Steady State Analysis. Dr. Firas Obeidat Electric Circuits II Sinusoidal Steady State Analysis Dr. Firas Obeidat 1 Table of Contents 1 2 3 4 5 Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin and Norton Equivalent

More information

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS 1.0 Kirchoff s Law Kirchoff s Current Law (KCL) states at any junction in an electric circuit the total current flowing towards that junction is equal

More information

Thevenin equivalent circuits

Thevenin equivalent circuits Thevenin equivalent circuits We have seen the idea of equivalency used in several instances already. 1 2 1 2 same as 1 2 same as 1 2 R 3 same as = 0 V same as 0 A same as same as = EE 201 Thevenin 1 The

More information

Circuit Theorems Overview Linearity Superposition Source Transformation Thévenin and Norton Equivalents Maximum Power Transfer

Circuit Theorems Overview Linearity Superposition Source Transformation Thévenin and Norton Equivalents Maximum Power Transfer Circuit Theorems Overview Linearity Superposition Source Transformation Thévenin and Norton Equivalents Maximum Power Transfer J. McNames Portland State University ECE 221 Circuit Theorems Ver. 1.36 1

More information

Electric Circuits I. Nodal Analysis. Dr. Firas Obeidat

Electric 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 information

Introduction to AC Circuits (Capacitors and Inductors)

Introduction to AC Circuits (Capacitors and Inductors) Introduction to AC Circuits (Capacitors and Inductors) Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

QUIZ 1 SOLUTION. One way of labeling voltages and currents is shown below.

QUIZ 1 SOLUTION. One way of labeling voltages and currents is shown below. F 14 1250 QUIZ 1 SOLUTION EX: Find the numerical value of v 2 in the circuit below. Show all work. SOL'N: One method of solution is to use Kirchhoff's and Ohm's laws. The first step in this approach is

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science : Circuits & Electronics Problem Set #1 Solution

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science : Circuits & Electronics Problem Set #1 Solution Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.2: Circuits & Electronics Problem Set # Solution Exercise. The three resistors form a series connection.

More information

Series & Parallel Resistors 3/17/2015 1

Series & Parallel Resistors 3/17/2015 1 Series & Parallel Resistors 3/17/2015 1 Series Resistors & Voltage Division Consider the single-loop circuit as shown in figure. The two resistors are in series, since the same current i flows in both

More information

Notes for course EE1.1 Circuit Analysis TOPIC 4 NODAL ANALYSIS

Notes for course EE1.1 Circuit Analysis TOPIC 4 NODAL ANALYSIS Notes for course EE1.1 Circuit Analysis 2004-05 TOPIC 4 NODAL ANALYSIS OBJECTIVES 1) To develop Nodal Analysis of Circuits without Voltage Sources 2) To develop Nodal Analysis of Circuits with Voltage

More information

EE-201 Review Exam I. 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6) None of above

EE-201 Review Exam I. 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6) None of above EE-201, Review Probs Test 1 page-1 Spring 98 EE-201 Review Exam I Multiple Choice (5 points each, no partial credit.) 1. The voltage Vx in the circuit below is: (1) 3V (2) 2V (3) -2V (4) 1V (5) -1V (6)

More information

Voltage Dividers, Nodal, and Mesh Analysis

Voltage Dividers, Nodal, and Mesh Analysis Engr228 Lab #2 Voltage Dividers, Nodal, and Mesh Analysis Name Partner(s) Grade /10 Introduction This lab exercise is designed to further your understanding of the use of the lab equipment and to verify

More information

MAE140 - Linear Circuits - Winter 09 Midterm, February 5

MAE140 - Linear Circuits - Winter 09 Midterm, February 5 Instructions MAE40 - Linear ircuits - Winter 09 Midterm, February 5 (i) This exam is open book. You may use whatever written materials you choose, including your class notes and textbook. You may use a

More information

D C Circuit Analysis and Network Theorems:

D C Circuit Analysis and Network Theorems: UNIT-1 D C Circuit Analysis and Network Theorems: Circuit Concepts: Concepts of network, Active and passive elements, voltage and current sources, source transformation, unilateral and bilateral elements,

More information

EECS 42 Spring 2001 Lecture 14. W. G. Oldham MORE NODAL ANALYSIS. Today: Dependent Sources Examples

EECS 42 Spring 2001 Lecture 14. W. G. Oldham MORE NODAL ANALYSIS. Today: Dependent Sources Examples MOE NODAL ANALYSIS Today: Dependent Sources Examples 1 Dependent oltage and Current Sources A linear dependent source is a voltage or current source that depends linearly on some other circuit current

More information

Thevenin Norton Equivalencies - GATE Study Material in PDF

Thevenin Norton Equivalencies - GATE Study Material in PDF Thevenin Norton Equivalencies - GATE Study Material in PDF In these GATE 2018 Notes, we explain the Thevenin Norton Equivalencies. Thevenin s and Norton s Theorems are two equally valid methods of reducing

More information

Basic Electrical Circuits Analysis ECE 221

Basic 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 information

Chapter 10: Sinusoidal Steady-State Analysis

Chapter 10: Sinusoidal Steady-State Analysis Chapter 10: Sinusoidal Steady-State Analysis 10.1 10.2 10.3 10.4 10.5 10.6 10.9 Basic Approach Nodal Analysis Mesh Analysis Superposition Theorem Source Transformation Thevenin & Norton Equivalent Circuits

More information

EE292: Fundamentals of ECE

EE292: Fundamentals of ECE EE292: Fundamentals of ECE Fall 2012 TTh 10:00-11:15 SEB 1242 Lecture 4 120906 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Review Voltage Divider Current Divider Node-Voltage Analysis 3 Network Analysis

More information

Consider the following generalized simple circuit

Consider the following generalized simple circuit ntroduction to Circuit Analysis Getting Started We analyze circuits for several reasons Understand how they work Learn how to design from other people s work Debug our own designs Troubleshoot circuit

More information

Electric Circuits I. Midterm #1

Electric Circuits I. Midterm #1 The University of Toledo Section number s5ms_elci7.fm - Electric Circuits I Midterm # Problems Points. 3 2. 7 3. 5 Total 5 Was the exam fair? yes no The University of Toledo Section number s5ms_elci7.fm

More information

FE Review 2/2/2011. Electric Charge. Electric Energy ELECTRONICS # 1 FUNDAMENTALS

FE Review 2/2/2011. Electric Charge. Electric Energy ELECTRONICS # 1 FUNDAMENTALS FE eview ELECONICS # FUNDAMENALS Electric Charge 2 In an electric circuit there is a conservation of charge. he net electric charge is constant. here are positive and negative charges. Like charges repel

More information

CURRENT SOURCES EXAMPLE 1 Find the source voltage Vs and the current I1 for the circuit shown below SOURCE CONVERSIONS

CURRENT SOURCES EXAMPLE 1 Find the source voltage Vs and the current I1 for the circuit shown below SOURCE CONVERSIONS CURRENT SOURCES EXAMPLE 1 Find the source voltage Vs and the current I1 for the circuit shown below EXAMPLE 2 Find the source voltage Vs and the current I1 for the circuit shown below SOURCE CONVERSIONS

More information

EIT Review. Electrical Circuits DC Circuits. Lecturer: Russ Tatro. Presented by Tau Beta Pi The Engineering Honor Society 10/3/2006 1

EIT Review. Electrical Circuits DC Circuits. Lecturer: Russ Tatro. Presented by Tau Beta Pi The Engineering Honor Society 10/3/2006 1 EIT Review Electrical Circuits DC Circuits Lecturer: Russ Tatro Presented by Tau Beta Pi The Engineering Honor Society 10/3/2006 1 Session Outline Basic Concepts Basic Laws Methods of Analysis Circuit

More information

Kirchhoff's Laws and Circuit Analysis (EC 2)

Kirchhoff's Laws and Circuit Analysis (EC 2) Kirchhoff's Laws and Circuit Analysis (EC ) Circuit analysis: solving for I and V at each element Linear circuits: involve resistors, capacitors, inductors Initial analysis uses only resistors Power sources,

More information

Study Notes on Network Theorems for GATE 2017

Study Notes on Network Theorems for GATE 2017 Study Notes on Network Theorems for GATE 2017 Network Theorems is a highly important and scoring topic in GATE. This topic carries a substantial weight age in GATE. Although the Theorems might appear to

More information

EE40 Midterm Review Prof. Nathan Cheung

EE40 Midterm Review Prof. Nathan Cheung EE40 Midterm Review Prof. Nathan Cheung 10/29/2009 Slide 1 I feel I know the topics but I cannot solve the problems Now what? Slide 2 R L C Properties Slide 3 Ideal Voltage Source *Current depends d on

More information

1. Review of Circuit Theory Concepts

1. Review of Circuit Theory Concepts 1. Review of Circuit Theory Concepts Lecture notes: Section 1 ECE 65, Winter 2013, F. Najmabadi Circuit Theory is an pproximation to Maxwell s Electromagnetic Equations circuit is made of a bunch of elements

More information

Solution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1.

Solution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1. Problem 1.24 The plot in Fig. P1.24 displays the cumulative charge q(t) that has entered a certain device up to time t. Sketch a plot of the corresponding current i(t). q 20 C 0 1 2 3 4 5 t (s) 20 C Figure

More information

In this lecture, we will consider how to analyse an electrical circuit by applying KVL and KCL. As a result, we can predict the voltages and currents

In this lecture, we will consider how to analyse an electrical circuit by applying KVL and KCL. As a result, we can predict the voltages and currents In this lecture, we will consider how to analyse an electrical circuit by applying KVL and KCL. As a result, we can predict the voltages and currents around an electrical circuit. This is a short lecture,

More information

POLYTECHNIC UNIVERSITY Electrical Engineering Department. EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems

POLYTECHNIC UNIVERSITY Electrical Engineering Department. EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems POLYTECHNIC UNIVERSITY Electrical Engineering Department EE SOPHOMORE LABORATORY Experiment 2 DC circuits and network theorems Modified for Physics 18, Brooklyn College I. Overview of Experiment In this

More information

48520 Electronics & Circuits: Web Tutor

48520 Electronics & Circuits: Web Tutor 852 Electronics & Circuits: Web Tutor Topic : Resistive Circuits 2 Help for Exercise.: Nodal Analysis, circuits with I, R and controlled sources. The purpose of this exercise is to further extend Nodal

More information

UC DAVIS. Circuits I Course Outline

UC DAVIS. Circuits I Course Outline UC DAVIS Circuits I Course Outline ENG 17 Professor Spencer Fall 2010 2041 Kemper Hall Lecture: MWF 4:10-5:00, 1003 Giedt Hall 752-6885 Discussion Section 1: W 1:10-2:00, 55 Roessler CRN: 61417 Discussion

More information

Chapter 5 Objectives

Chapter 5 Objectives Chapter 5 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 5 Objectives State and apply the property of linearity State and apply the property of superposition Investigate source transformations Define

More information

Sinusoidal Steady State Analysis (AC Analysis) Part II

Sinusoidal Steady State Analysis (AC Analysis) Part II Sinusoidal Steady State Analysis (AC Analysis) Part II Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/

More information

Notes for course EE1.1 Circuit Analysis TOPIC 3 CIRCUIT ANALYSIS USING SUB-CIRCUITS

Notes for course EE1.1 Circuit Analysis TOPIC 3 CIRCUIT ANALYSIS USING SUB-CIRCUITS Notes for course EE1.1 Circuit Analysis 2004-05 TOPIC 3 CIRCUIT ANALYSIS USING SUB-CIRCUITS OBJECTIVES 1) To introduce the Source Transformation 2) To consider the concepts of Linearity and Superposition

More information

Chapter 2 Resistive Circuits

Chapter 2 Resistive Circuits Chapter esistie Circuits Goal. Sole circuits by combining resistances in Series and Parallel.. Apply the Voltage-Diision and Current-Diision Principles.. Sole circuits by the Node-Voltage Technique.. Sole

More information

Electrical Circuits I Lecture 8

Electrical Circuits I Lecture 8 Electrical Circuits I Lecture 8 Thevenin and Norton theorems Thevenin theorem tells us that we can replace the entire network, exclusive of the load resistor, by an equivalent circuit

More information

E2.2 Analogue Electronics

E2.2 Analogue Electronics E2.2 Analogue Electronics Instructor : Christos Papavassiliou Office, email : EE 915, c.papavas@imperial.ac.uk Lectures : Monday 2pm, room 408 (weeks 2-11) Thursday 3pm, room 509 (weeks 4-11) Problem,

More information

ELEC 250: LINEAR CIRCUITS I COURSE OVERHEADS. These overheads are adapted from the Elec 250 Course Pack developed by Dr. Fayez Guibaly.

ELEC 250: LINEAR CIRCUITS I COURSE OVERHEADS. These overheads are adapted from the Elec 250 Course Pack developed by Dr. Fayez Guibaly. Elec 250: Linear Circuits I 5/4/08 ELEC 250: LINEAR CIRCUITS I COURSE OVERHEADS These overheads are adapted from the Elec 250 Course Pack developed by Dr. Fayez Guibaly. S.W. Neville Elec 250: Linear Circuits

More information

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review. Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon

More information

Problem info Geometry model Labelled Objects Results Nonlinear dependencies

Problem info Geometry model Labelled Objects Results Nonlinear dependencies Problem info Problem type: Transient Magnetics (integration time: 9.99999993922529E-09 s.) Geometry model class: Plane-Parallel Problem database file names: Problem: circuit.pbm Geometry: Circuit.mod Material

More information

Lecture Notes on DC Network Theory

Lecture Notes on DC Network Theory Federal University, Ndufu-Alike, Ikwo Department of Electrical/Electronics and Computer Engineering (ECE) Faculty of Engineering and Technology Lecture Notes on DC Network Theory Harmattan Semester by

More information

Chapter 3 Methods of Analysis: 1) Nodal Analysis

Chapter 3 Methods of Analysis: 1) Nodal Analysis Chapter 3 Methods of Analysis: 1) Nodal Analysis Dr. Waleed Al-Hanafy waleed alhanafy@yahoo.com Faculty of Electronic Engineering, Menoufia Univ., Egypt MSA Summer Course: Electric Circuit Analysis I (ESE

More information

Physics 116A Notes Fall 2004

Physics 116A Notes Fall 2004 Physics 116A Notes Fall 2004 David E. Pellett Draft v.0.9 Notes Copyright 2004 David E. Pellett unless stated otherwise. References: Text for course: Fundamentals of Electrical Engineering, second edition,

More information

ELECTRIC CIRCUITS I (ELCT 301)

ELECTRIC CIRCUITS I (ELCT 301) German University in Cairo Faculty of Information Engineering and Technology (IET) ELECTRIC CIRCUITS I (ELCT 301) LECTURE 1: BASIC CONCEPTS COURSE INSTRUCTOR Instructor: Prof. Dr. Eng. Yasser G. Hegazy

More information

DC STEADY STATE CIRCUIT ANALYSIS

DC STEADY STATE CIRCUIT ANALYSIS DC STEADY STATE CIRCUIT ANALYSIS 1. Introduction The basic quantities in electric circuits are current, voltage and resistance. They are related with Ohm s law. For a passive branch the current is: I=

More information

3.1 Superposition theorem

3.1 Superposition theorem Many electric circuits are complex, but it is an engineer s goal to reduce their complexity to analyze them easily. In the previous chapters, we have mastered the ability to solve networks containing independent

More information

UNIVERSITY F P RTLAND Sch l f Engineering

UNIVERSITY F P RTLAND Sch l f Engineering UNIVERSITY F P RTLAND Sch l f Engineering EE271-Electrical Circuits Laboratory Spring 2004 Dr. Aziz S. Inan & Dr. Joseph P. Hoffbeck Lab Experiment #4: Electrical Circuit Theorems - p. 1 of 5 - Electrical

More information

Network Topology-2 & Dual and Duality Choice of independent branch currents and voltages: The solution of a network involves solving of all branch currents and voltages. We know that the branch current

More information

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur Module 2 DC Circuit Lesson 5 Node-voltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s

More information

Chapter 2 Resistive Circuits

Chapter 2 Resistive Circuits 1. Sole circuits (i.e., find currents and oltages of interest) by combining resistances in series and parallel. 2. Apply the oltage-diision and current-diision principles. 3. Sole circuits by the node-oltage

More information

EE100Su08 Lecture #9 (July 16 th 2008)

EE100Su08 Lecture #9 (July 16 th 2008) EE100Su08 Lecture #9 (July 16 th 2008) Outline HW #1s and Midterm #1 returned today Midterm #1 notes HW #1 and Midterm #1 regrade deadline: Wednesday, July 23 rd 2008, 5:00 pm PST. Procedure: HW #1: Bart

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b Electromagnetism Physics 5b Lecture #9 DC Circuits Purcell 4.7 4. What We Did Last Time Define current and current density J J da S Charge conservation divj ρ or 0 in steady current t Carrier densities

More information

Series/Parallel Circuit Simplification: Kirchoff, Thevenin & Norton

Series/Parallel Circuit Simplification: Kirchoff, Thevenin & Norton Series/Parallel Circuit Simplification: Kirchoff, Thevenin & Norton Session 1d of Basic Electricity A Fairfield University E-Course Powered by LearnLinc Basic Electricity Two Parts Electron Flow and Resistance

More information

Figure Circuit for Question 1. Figure Circuit for Question 2

Figure Circuit for Question 1. Figure Circuit for Question 2 Exercises 10.7 Exercises Multiple Choice 1. For the circuit of Figure 10.44 the time constant is A. 0.5 ms 71.43 µs 2, 000 s D. 0.2 ms 4 Ω 2 Ω 12 Ω 1 mh 12u 0 () t V Figure 10.44. Circuit for Question

More information

Circuit Analysis with Dependent Sources A)Node Equations B)Equivalent Sources C)Amplifier Parameters: Gain, R IN, R OUT D)Non-Ideal Op-Amp Model

Circuit Analysis with Dependent Sources A)Node Equations B)Equivalent Sources C)Amplifier Parameters: Gain, R IN, R OUT D)Non-Ideal Op-Amp Model Lecture 13: October 15, 2001 Lecture 14: 10/15/01 A.. Neureuther Circuit Analysis with Dependent Sources A)Node Equations B)Equialent Sources C)Amplifier Parameters: Gain,, OUT D)NonIdeal OpAmp Model The

More information

Phasors: Impedance and Circuit Anlysis. Phasors

Phasors: Impedance and Circuit Anlysis. Phasors Phasors: Impedance and Circuit Anlysis Lecture 6, 0/07/05 OUTLINE Phasor ReCap Capacitor/Inductor Example Arithmetic with Complex Numbers Complex Impedance Circuit Analysis with Complex Impedance Phasor

More information

Ver 6186 E1.1 Analysis of Circuits (2015) E1.1 Circuit Analysis. Problem Sheet 2 - Solutions

Ver 6186 E1.1 Analysis of Circuits (2015) E1.1 Circuit Analysis. Problem Sheet 2 - Solutions Ver 8 E. Analysis of Circuits (0) E. Circuit Analysis Problem Sheet - Solutions Note: In many of the solutions below I have written the voltage at node X as the variable X instead of V X in order to save

More information

One-Port Networks. One-Port. Network

One-Port Networks. One-Port. Network TwoPort s Definitions Impedance Parameters dmittance Parameters Hybrid Parameters Transmission Parameters Cascaded TwoPort s Examples pplications OnePort s v i' 1 OnePort pair of terminals at which a signal

More information

Lecture 7: September 19th, The following slides were derived from those prepared by Professor Oldham for EE40 in Fall 01. Version Date 9/19/01

Lecture 7: September 19th, The following slides were derived from those prepared by Professor Oldham for EE40 in Fall 01. Version Date 9/19/01 EES Intro. electronics for S Fall Lecture 7: September 9th, Lecture 7: 9/9/ A.. Neureuther Version Date 9/9/ harging and Discharging of ircuits (Transients) A) Mathematical Method B) EE Easy Method ) Logic

More information

Problem Set 5 Solutions

Problem Set 5 Solutions University of California, Berkeley Spring 01 EE /0 Prof. A. Niknejad Problem Set 5 Solutions Please note that these are merely suggested solutions. Many of these problems can be approached in different

More information

CHAPTER FOUR CIRCUIT THEOREMS

CHAPTER FOUR CIRCUIT THEOREMS 4.1 INTRODUCTION CHAPTER FOUR CIRCUIT THEOREMS The growth in areas of application of electric circuits has led to an evolution from simple to complex circuits. To handle the complexity, engineers over

More information

Electric Circuits I Final Examination

Electric Circuits I Final Examination EECS:300 Electric Circuits I ffs_elci.fm - Electric Circuits I Final Examination Problems Points. 4. 3. Total 38 Was the exam fair? yes no //3 EECS:300 Electric Circuits I ffs_elci.fm - Problem 4 points

More information

KIRCHHOFF LOWS AGAINST NODE-VOLTAGE ANALYSIS AND MILLMAN'S THEOREM

KIRCHHOFF LOWS AGAINST NODE-VOLTAGE ANALYSIS AND MILLMAN'S THEOREM KRCHHOFF LOWS GNST NODE-VOLTGE NLYSS ND MLLMN'S THEOREM MRCEL NCULE, C. M. NCULE The present paper aims at introducing a new method for teaching electric circuits in high schools. Using the Kirchhoff's

More information

BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Alternating Current Circuits : Basic Law

BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Alternating Current Circuits : Basic Law BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING Alternating Current Circuits : Basic Law Ismail Mohd Khairuddin, Zulkifil Md Yusof Faculty of Manufacturing Engineering Universiti Malaysia Pahang Alternating

More information

Chapter 5 Solution P5.2-2, 3, 6 P5.3-3, 5, 8, 15 P5.4-3, 6, 8, 16 P5.5-2, 4, 6, 11 P5.6-2, 4, 9

Chapter 5 Solution P5.2-2, 3, 6 P5.3-3, 5, 8, 15 P5.4-3, 6, 8, 16 P5.5-2, 4, 6, 11 P5.6-2, 4, 9 Chapter 5 Solution P5.2-2, 3, 6 P5.3-3, 5, 8, 15 P5.4-3, 6, 8, 16 P5.5-2, 4, 6, 11 P5.6-2, 4, 9 P 5.2-2 Consider the circuit of Figure P 5.2-2. Find i a by simplifying the circuit (using source transformations)

More information

Electric Current. Note: Current has polarity. EECS 42, Spring 2005 Week 2a 1

Electric Current. Note: Current has polarity. EECS 42, Spring 2005 Week 2a 1 Electric Current Definition: rate of positive charge flow Symbol: i Units: Coulombs per second Amperes (A) i = dq/dt where q = charge (in Coulombs), t = time (in seconds) Note: Current has polarity. EECS

More information

Electric Circuits I. Midterm #1 Examination

Electric Circuits I. Midterm #1 Examination EECS:2300, Electric Circuits I s8ms_elci7.fm - Electric Circuits I Midterm # Examination Problems Points. 4 2. 6 3. 5 Total 5 Was the exam fair? yes no EECS:2300, Electric Circuits I s8ms_elci7.fm - 2

More information

Designing Information Devices and Systems I Spring 2018 Homework 7

Designing Information Devices and Systems I Spring 2018 Homework 7 EECS 6A Designing Information Devices and Systems I Spring 08 Homework 7 This homework is due March, 08, at 3:59. Self-grades are due March 5, 08, at 3:59. Submission Format Your homework submission should

More information

Lectures 16 & 17 Sinusoidal Signals, Complex Numbers, Phasors, Impedance & AC Circuits. Nov. 7 & 9, 2011

Lectures 16 & 17 Sinusoidal Signals, Complex Numbers, Phasors, Impedance & AC Circuits. Nov. 7 & 9, 2011 Lectures 16 & 17 Sinusoidal Signals, Complex Numbers, Phasors, Impedance & AC Circuits Nov. 7 & 9, 2011 Material from Textbook by Alexander & Sadiku and Electrical Engineering: Principles & Applications,

More information

ECE 201 Fall 2009 Final Exam

ECE 201 Fall 2009 Final Exam ECE 01 Fall 009 Final Exam December 16, 009 Division 0101: Tan (11:30am) Division 001: Clark (7:30 am) Division 0301: Elliott (1:30 pm) Instructions 1. DO NOT START UNTIL TOLD TO DO SO.. Write your Name,

More information

EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA

EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, 2006 6-7 pm, Room TBA First retrieve your EE2110 final and other course papers and notes! The test will be closed book

More information

Electronics II. Final Examination

Electronics II. Final Examination The University of Toledo f17fs_elct27.fm 1 Electronics II Final Examination Problems Points 1. 11 2. 14 3. 15 Total 40 Was the exam fair? yes no The University of Toledo f17fs_elct27.fm 2 Problem 1 11

More information

Outline. Week 5: Circuits. Course Notes: 3.5. Goals: Use linear algebra to determine voltage drops and branch currents.

Outline. Week 5: Circuits. Course Notes: 3.5. Goals: Use linear algebra to determine voltage drops and branch currents. Outline Week 5: Circuits Course Notes: 3.5 Goals: Use linear algebra to determine voltage drops and branch currents. Components in Resistor Networks voltage source current source resistor Components in

More information

CHAPTER 4. Circuit Theorems

CHAPTER 4. Circuit Theorems CHAPTER 4 Circuit Theorems The growth in areas of application of electrical circuits has led to an evolution from simple to complex circuits. To handle such complexity, engineers over the years have developed

More information

Chapter 4. Techniques of Circuit Analysis

Chapter 4. Techniques of Circuit Analysis Chapter 4. Techniques of Circuit Analysis By: FARHAD FARADJI, Ph.D. Assistant Professor, Electrical Engineering, K.N. Toosi University of Technology http://wp.kntu.ac.ir/faradji/electriccircuits1.htm Reference:

More information

Electronics II. Midterm #2

Electronics II. Midterm #2 The University of Toledo EECS:3400 Electronics I su4ms_elct7.fm Section Electronics II Midterm # Problems Points. 8. 7 3. 5 Total 0 Was the exam fair? yes no The University of Toledo su4ms_elct7.fm Problem

More information

E1.1 Analysis of Circuits ( ) Revision Lecture 1 1 / 13

E1.1 Analysis of Circuits ( ) Revision Lecture 1 1 / 13 RevisionLecture 1: E1.1 Analysis of Circuits (2014-4530) Revision Lecture 1 1 / 13 Format Question 1 (40%): eight short parts covering the whole syllabus. Questions 2 and 3: single topic questions (answer

More information

EIE/ENE 104 Electric Circuit Theory

EIE/ENE 104 Electric Circuit Theory EIE/ENE 104 Electric Circuit Theory Lecture 01a: Circuit Analysis and Electrical Engineering Week #1 : Dejwoot KHAWPARISUTH office: CB40906 Tel: 02-470-9065 Email: dejwoot.kha@kmutt.ac.th http://webstaff.kmutt.ac.th/~dejwoot.kha/

More information

Physics 212. Lecture 9. Electric Current

Physics 212. Lecture 9. Electric Current Physics 212 Lecture 9 Electric Current Exam Here, Tuesday, June 26, 8 9:30 AM Will begin at 7:30 for those who must leave by 9. Office hours 1-7 PM, Rm 232 Loomis Bring your ID! Physics 212 Lecture 9,

More information

Lecture 6: Impedance (frequency dependent. resistance in the s- world), Admittance (frequency. dependent conductance in the s- world), and

Lecture 6: Impedance (frequency dependent. resistance in the s- world), Admittance (frequency. dependent conductance in the s- world), and Lecture 6: Impedance (frequency dependent resistance in the s- world), Admittance (frequency dependent conductance in the s- world), and Consequences Thereof. Professor Ray, what s an impedance? Answers:

More information

ECE2262 Electric Circuit

ECE2262 Electric Circuit ECE2262 Electric Circuit Chapter 7: FIRST AND SECOND-ORDER RL AND RC CIRCUITS Response to First-Order RL and RC Circuits Response to Second-Order RL and RC Circuits 1 2 7.1. Introduction 3 4 In dc steady

More information

Lecture #3. Review: Power

Lecture #3. Review: Power Lecture #3 OUTLINE Power calculations Circuit elements Voltage and current sources Electrical resistance (Ohm s law) Kirchhoff s laws Reading Chapter 2 Lecture 3, Slide 1 Review: Power If an element is

More information

Kirchhoff Laws against Node-Voltage nalysis and Millman's Theorem Marcela Niculae and C. M. Niculae 2 on arbu theoretical high school, ucharest 2 University of ucharest, Faculty of physics, tomistilor

More information

Designing Information Devices and Systems I Fall 2018 Lecture Notes Note Introduction: Op-amps in Negative Feedback

Designing Information Devices and Systems I Fall 2018 Lecture Notes Note Introduction: Op-amps in Negative Feedback EECS 16A Designing Information Devices and Systems I Fall 2018 Lecture Notes Note 18 18.1 Introduction: Op-amps in Negative Feedback In the last note, we saw that can use an op-amp as a comparator. However,

More information

EXPERIMENT THREE DC CIRCUITS

EXPERIMENT THREE DC CIRCUITS EXEMET THEE DC CCUT EQUMET EEDED: ) DC ower upply ) DMM 3) esistors 4) EL THEOY Kirchhoff's Laws: Kirchhoff's oltage Law: The algebraic sum of the voltages around any closed path is zero. v i i 0 3. Kirchhoff's

More information

Designing Information Devices and Systems I Spring 2017 Babak Ayazifar, Vladimir Stojanovic Midterm 2. Exam location: 145 Dwinelle, last SID# 2

Designing Information Devices and Systems I Spring 2017 Babak Ayazifar, Vladimir Stojanovic Midterm 2. Exam location: 145 Dwinelle, last SID# 2 EECS 16A Designing Information Devices and Systems I Spring 2017 Babak Ayazifar, Vladimir Stojanovic Midterm 2 Exam location: 145 Dwinelle, last SID# 2 PRINT your student ID: PRINT AND SIGN your name:,

More information