EE40. Lec 3. Basic Circuit Analysis. Prof. Nathan Cheung. Reading: Hambley Chapter 2
|
|
- Janis Lloyd
- 5 years ago
- Views:
Transcription
1 EE40 Lec 3 Basic Circuit Analysis Prof. Nathan Cheung 09/03/009 eading: Hambley Chapter Slide
2 Outline Chapter esistors in Series oltage Divider Conductances in Parallel Current Divider Node-oltage Analysis Mesh-Current Analysis Superposition Thévenin equivalent circuits Norton equivalent circuits Maximum Power Transfer Slide
3 oltage Divider Slide 3
4 esistors in Series esistors in series can be combined into one equivalent resistance: Slide 4
5 Current Divider Slide 5
6 esistors in Parallel esistors in parallel can be combined into one equivalent resistance: Conductance G = /( esistance ) [ unit = Siemens = /ohm] Slide 6
7 Example Calculation with Series and Parallel esistance Determine, I, I, and I 3 : From (c): () and 4 I = = 0 = I = eturning to (b): A = I = = = I 3 = = =.33A 0.67A Slide 7
8 Series and Parallel Combinations in general Some circuits must be analyzed (not amenable to simple inspection) I 4 3 Special cases: 3 = 0 O 3 = 5 Slide 8
9 Some Interesting Series and Parallel Combinations All =Ω, what is ab? See Hambley P..5 What is ab? Hambley P.9 [Hint: see bottom figure] Ans. ab = 5/6 Ω Slide 9
10 Measuring oltage To measure the voltage drop across an element in a real circuit, insert a voltmeter (digital multimeter in voltage mode) in parallel with the element. oltmeters are characterized by their voltmeter input resistance ( in) ). Ideally, this should be very high (typical value 0 MΩ) Ideal oltmeter in Slide 0
11 Effect of oltmeter undisturbed circuit circuit with voltmeter inserted SS _ _ SS in = SS = in SS in Compare to Example: = 0, = 00K, = 900K SS = = 0 M, =? in Slide
12 Measuring Current To measure the current flowing through an element in a real circuit, insert an ammeter (digital multimeter in current mode) in series with the element. Ammeters are characterized by their ammeter input resistance ( in ). Ideally, this should be very low (typical value Ω). Ideal Ammeter in Slide
13 undisturbed circuit Effect of Ammeter Measurement error due to non-zero input resistance: I circuit with ammeter inserted I meas in ammeter I = I meas = in Example: =, = = 500 Ω, in = Ω Compare to I = = ma, Imeas =? 500Ω 500Ω Slide 3
14 Source Combinations oltage sources in series can be replaced by an equivalent voltage source: Current sources in parallel can be replaced by an equivalent current source: v v v v i i i i Slide 4
15 Example Slide 5
16 Example Slide 6
17 Node-oltage Circuit Analysis. Identify all extraordinary nodes, select one of them as a reference node (ground), and then assign node voltages to the remaining (n ex ) extraordinary nodes. (Look for the one with the most connections). At each of the (n ex ) extraordinary nodes, apply the form of KCL requiring the sum of all currents leaving a node to be zero. 3. Solve the (n ex ) independent simultaneous equations to determine the unknown node voltages. Slide 7
18 Nodal Analysis Example Find the power dissipated in 5 : Slide 8
19 Step : Nodal Analysis Example Slide 9
20 Nodal Analysis Example Step : Node : I I I 3 = 0 ewrite currents with node voltages: 0 = Slide 0
21 Node : Nodal Analysis Example I 4 I 5 I 6 = 0 I = 0 Node 3: I 7 I 8 I 9 = I 0 = 0 Slide
22 Nodal Analysis Example Step 3: Solve three simultaneous equations (Appendix B): = I = I = Slide Solve for I 7 = 3 / 5 ; P = I 7 / 5
23 Node-oltage Analysis: Dependent Sources Treat as independent source in organizing and writing node equations, but include another equation that expresses the relationship of the dependent source. Slide 3
24 Nodal Analysis with Dependent Sources Node : 5 = Node : 6 I = X 0 Dependant Source: ( ) = I = = 6 I X 3 Slide 4
25 Nodal Analysis with Dependent Sources Node : 5 = Node : 6 I = X Sub in I x for Node equations: 9 = 5.9 Dependant Source: ( ) = I = = = 0 ( ) =.8 and =.87 Hence, I x = 0. A I X 0 3 Slide 5
26 Nodal Analysis: Supernodes To deal with floating voltage source (neither side is connected to the reference node) we use supernodes: Definition: A supernode is the combination of two extraordinary nodes (excluding the reference node) between which a voltage source exists. Slide 6
27 Nodal Analysis: Supernodes To deal with floating voltage source (neither side is connected to the reference node) we use supernodes: Two equations: KCL for supernode Auxiliary equation for voltages (KL) Slide 7
28 Supernode Example supernode: supernode: I I I I = = 6 = 3 Solution: = ; = 0 = Slide 8
29 Example : Use of both KCL and KL Find I and I : Suggested Exercise: Solve the node voltages first Slide 9
30 Example : Use of both KCL and KL Determine I x : Solving these equations leads to I x = 0.84 A. Slide 30
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 informationChapter 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 informationThevenin 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 informationEE40 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 informationChapter 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 informationLecture 8: 09/18/03 A.R. Neureuther Version Date 09/14/03 EECS 42 Introduction Digital Electronics Andrew R. Neureuther
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
More informationElectric 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 informationEE-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 informationVoltage 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 informationR R V I R. Conventional Current. Ohms Law V = IR
DC Circuits opics EMF and erminal oltage esistors in Series and in Parallel Kirchhoff s ules EMFs in Series and in Parallel Capacitors in Series and in Parallel Ammeters and oltmeters Conventional Current
More informationVer 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 informationECE 1311: Electric Circuits. Chapter 2: Basic laws
ECE 1311: Electric Circuits Chapter 2: Basic laws Basic Law Overview Ideal sources series and parallel Ohm s law Definitions open circuits, short circuits, conductance, nodes, branches, loops Kirchhoff's
More informationSeries & 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 informationEECS 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 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 informationChapter 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 informationD 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 informationChapter 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 informationCircuits. Electric Current & DC Circuits Circuits. Unit 6. April Electric Current. Electric Current. Electric Current. ΔQ Δt
Electric Current & DC Circuits Electric Current & DC Circuits Circuits Conductors esistivity and esistance Click on the topic to go to that section Circuit Diagrams Measurement Electric Current Circuits
More informationEE40 KVL KCL. Prof. Nathan Cheung 09/01/2009. Reading: Hambley Chapter 1
EE40 KVL KCL Prof. Nathan Cheung 09/01/2009 Reading: Hambley Chapter 1 Slide 1 Terminology: Nodes and Branches Node: A point where two or more circuit elements are connected Branch: A path that connects
More informationElectric 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 informationDelta & Y Configurations, Principles of Superposition, Resistor Voltage Divider Designs
BME/ISE 3511 Bioelectronics - Test Three Course Notes Fall 2016 Delta & Y Configurations, Principles of Superposition, esistor Voltage Divider Designs Use following techniques to solve for current through
More informationMidterm 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 informationSymbol Offers Units. R Resistance, ohms. C Capacitance F, Farads. L Inductance H, Henry. E, I Voltage, Current V, Volts, A, Amps. D Signal shaping -
Electrical Circuits HE 13.11.018 1. Electrical Components hese are tabulated below Component Name Properties esistor Simplest passive element, no dependence on time or frequency Capacitor eactive element,
More informationUNIT 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 informationPOLYTECHNIC 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 informationMAE140 - 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 informationEE292: 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 informationSinusoidal 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 informationmeas (1) calc calc I meas 100% (2) Diff I meas
Lab Experiment No. Ohm s Law I. Introduction In this lab exercise, you will learn how to connect the to network elements, how to generate a VI plot, the verification of Ohm s law, and the calculation of
More informationEXPERIMENT 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 informationChapter 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 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 informationCircuit 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 informationSinusoidal 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 informationDirect Current (DC): In a DC circuit the current and voltage are constant as a function of time. Power (P): Rate of doing work P = dw/dt units = Watts
Lecture 1: Introduction Some Definitions: Current (I): Amount of electric charge (Q) moving past a point per unit time I dq/dt Coulombs/sec units Amps (1 Coulomb 6x10 18 electrons) oltage (): Work needed
More information48520 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 informationChapter 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 informationSystematic Circuit Analysis (T&R Chap 3)
Systematic Circuit Analysis (T&R Chap 3) Nodevoltage analysis Using the voltages of the each node relative to a ground node, write down a set of consistent linear equations for these voltages Solve this
More informationPhysics 1402: Lecture 10 Today s Agenda
Physics 1402: Lecture 10 Today s Agenda Announcements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW assignments, solutions etc. Homework #3: On Masterphysics : due Friday at 8:00 AM Go to masteringphysics.com
More informationENGG 1203 Tutorial. Quick Checking. Solution. A FSM design for a Vending machine (Revisited) Vending Machine. Vending machine may get three inputs
ENGG 1 Tutorial Quick Checking Sequential Logic (II) and Electrical Circuit (I) Feb Learning Objectives Design a finite state machine Analysis circuits through circuit laws (Ohm s Law, KCL and KL) News
More informationMAE140 - 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 informationConsider 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 informationChapter 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 information3.1 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 informationSolution: 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 informationDirect Current (DC) Circuits
Direct Current (DC) Circuits NOTE: There are short answer analysis questions in the Participation section the informal lab report. emember to include these answers in your lab notebook as they will be
More informationDC 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 informationThe equivalent model of a certain op amp is shown in the figure given below, where R 1 = 2.8 MΩ, R 2 = 39 Ω, and A =
The equivalent model of a certain op amp is shown in the figure given below, where R 1 = 2.8 MΩ, R 2 = 39 Ω, and A = 10 10 4. Section Break Difficulty: Easy Learning Objective: Understand how real operational
More informationChapter 10 Sinusoidal Steady State Analysis Chapter Objectives:
Chapter 10 Sinusoidal Steady State Analysis Chapter Objectives: Apply previously learn circuit techniques to sinusoidal steady-state analysis. Learn how to apply nodal and mesh analysis in the frequency
More informationDesigning Information Devices and Systems I Fall 2018 Lecture Notes Note Resistive Touchscreen - expanding the model
EECS 16A Designing Information Devices and Systems I Fall 2018 Lecture Notes Note 13 13.1 Resistive Touchscreen - expanding the model Recall the physical structure of the simple resistive touchscreen given
More informationresistance in the circuit. When voltage and current values are known, apply Ohm s law to determine circuit resistance. R = E/I ( )
DC Fundamentals Ohm s Law Exercise 1: Ohm s Law Circuit Resistance EXERCISE OBJECTIVE When you have completed this exercise, you will be able to determine resistance by using Ohm s law. You will verify
More informationNotes 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 informationMEP 382: Design of Applied Measurement Systems Lecture 3: DC & AC Circuit Analysis
Faculty of Engineering MEP 38: Design of Applied Measurement Systems Lecture 3: DC & AC Circuit Analysis Outline oltage and Current Ohm s Law Kirchoff s laws esistors Series and Parallel oltage Dividers
More information09/29/2009 Reading: Hambley Chapter 5 and Appendix A
EE40 Lec 10 Complex Numbers and Phasors Prof. Nathan Cheung 09/29/2009 Reading: Hambley Chapter 5 and Appendix A Slide 1 OUTLINE Phasors as notation for Sinusoids Arithmetic with Complex Numbers Complex
More informationErrors in Electrical Measurements
1 Errors in Electrical Measurements Systematic error every times you measure e.g. loading or insertion of the measurement instrument Meter error scaling (inaccurate marking), pointer bending, friction,
More informationLecture #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 informationModule 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 informationCURRENT 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 informationFlow Rate is the NET amount of water passing through a surface per unit time
Electric Current An Analogy Water Flow in a Pipe H 2 0 gallons/minute Flow Rate is the NET amount of water passing through a surface per unit time Individual molecules are bouncing around with speeds of
More informationResistor. l A. Factors affecting the resistance are 1. Cross-sectional area, A 2. Length, l 3. Resistivity, ρ
Chapter 2 Basic Laws. Ohm s Law 2. Branches, loops and nodes definition 3. Kirchhoff s Law 4. Series resistors circuit and voltage division. 5. Equivalent parallel circuit and current division. 6. Wye-Delta
More informationPhasors: 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 informationECE 2100 Circuit Analysis
ECE 2100 Circuit Analysis Lesson 3 Chapter 2 Ohm s Law Network Topology: nodes, branches, and loops Daniel M. Litynski, Ph.D. http://homepages.wmich.edu/~dlitynsk/ esistance ESISTANCE = Physical property
More informationChapter 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 informationE E 2320 Circuit Analysis. Calculating Resistance
E E 30 Circuit Analysis Lecture 03 Simple esistive Circuits it and Applications Calculating esistance l A 6 1.67 10 cm cu 6 al.7010 Area, A When conductor has uniform crosssection cm l 1 Temperature Coefficient
More informationECE2262 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 informationKirchhoff'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 informationThevenin 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 informationIn 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 informationEE 205 Dr. A. Zidouri. Electric Circuits II. Two-Port Circuits Two-Port Parameters. Lecture #42
EE 05 Dr. A. Zidouri Electric Circuits Two-Port Circuits Two-Port Parameters Lecture #4-1 - EE 05 Dr. A. Zidouri The material to be covered in this lecture is as follows: o ntroduction to two-port circuits
More informationPreamble. Circuit Analysis II. Mesh Analysis. When circuits get really complex methods learned so far will still work,
Preamble Circuit Analysis II Physics, 8 th Edition Custom Edition Cutnell & Johnson When circuits get really complex methods learned so far will still work, but they can take a long time to do. A particularly
More informationECE2262 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 informationLecture 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 informationChapter 3: Electric Current and Direct-Current Circuit
Chapter 3: Electric Current and Direct-Current Circuit n this chapter, we are going to discuss both the microscopic aspect and macroscopic aspect of electric current. Direct-current is current that flows
More informationA tricky node-voltage situation
A tricky node-voltage situation The node-method will always work you can always generate enough equations to determine all of the node voltages. The method we have outlined well in almost all cases, but
More informationThe Digital Multimeter (DMM)
The Digital Multimeter (DMM) Since Physics 152 covers electricity and magnetism, the analysis of both DC and AC circuits is required. In the lab, you will need to measure resistance, potential (voltage),
More informationEIT 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 informationEECE208 Intro to Electrical Engineering Lab. 5. Circuit Theorems - Thevenin Theorem, Maximum Power Transfer, and Superposition
EECE208 Intro to Electrical Engineering Lab Dr. Charles Kim 5. Circuit Theorems - Thevenin Theorem, Maximum Power Transfer, and Superposition Objectives: This experiment emphasizes e following ree circuit
More informationChapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson
Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and
More informationChapter 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 informationCircuit Theory I Basic Laws
Circuit Theory I Basic Laws Assistant Professor Suna BOLAT Eastern Mediterranean University Electric and electronic department ef2: Anant Agarwaland Jeffrey Lang, course materials for 6.002 Circuits and
More informationENGG 1203 Tutorial_05. Use of Multimeter. Lab 5 : SYSTEM. Office hours : Chow Yei Ching, CB-LG205 Thu, Fri; 15:30-17:30
ENGG 1203 Tutorial_05 Office hours : Chow Yei Ching, CB-LG205 Thu, Fri; 15:30-17:30 HW : -25%/day at least after 4 days, sample answer posted for study Lab 5 : Use of Multimeter The value showing is maximum
More informationNotes 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 informationSOME USEFUL NETWORK THEOREMS
APPENDIX D SOME USEFUL NETWORK THEOREMS Introduction In this appendix we review three network theorems that are useful in simplifying the analysis of electronic circuits: Thévenin s theorem Norton s theorem
More informationCircuits Practice Websheet 18.1
Circuits Practice Websheet 18.1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How much power is being dissipated by one of the 10-Ω resistors? a. 24
More informationPh February, Kirchhoff's Rules Author: John Adams, I. Theory
Ph 122 23 February, 2006 I. Theory Kirchhoff's Rules Author: John Adams, 1996 quark%/~bland/docs/manuals/ph122/elstat/elstat.doc This experiment seeks to determine if the currents and voltage drops in
More informationChapter 10: Sinusoidal Steady-State Analysis
Chapter 10: Sinusoidal Steady-State Analysis 1 Objectives : sinusoidal functions Impedance use phasors to determine the forced response of a circuit subjected to sinusoidal excitation Apply techniques
More informationChapter 6: Series-Parallel Circuits
Chapter 6: Series-Parallel Circuits Instructor: Jean-François MILLITHALER http://faculty.uml.edu/jeanfrancois_millithaler/funelec/spring2017 Slide 1 Identifying series-parallel relationships Most practical
More informationAP Physics C. Electric Circuits III.C
AP Physics C Electric Circuits III.C III.C.1 Current, Resistance and Power The direction of conventional current Suppose the cross-sectional area of the conductor changes. If a conductor has no current,
More informationPhysics 102 Lab 4: Circuit Algebra and Effective Resistance Dr. Timothy C. Black Spring, 2005
Physics 02 Lab 4: Circuit Algebra and Effective Resistance Dr. Timothy C. Black Spring, 2005 Theoretical Discussion The Junction Rule: Since charge is conserved, charge is neither created or destroyed
More informationCHAPTER 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 informationOUTCOME 3 - TUTORIAL 2
Unit : Unit code: QCF evel: 4 Credit value: 15 SYABUS Engineering Science /601/1404 OUTCOME 3 - TUTORIA Be able to apply DC theory to solve electrical and electronic engineering problems DC electrical
More information09-Circuit Theorems Text: , 4.8. ECEGR 210 Electric Circuits I
09Circuit Theorems Text: 4.1 4.3, 4.8 ECEGR 210 Electric Circuits I Overview Introduction Linearity Superposition Maximum Power Transfer Dr. Louie 2 Introduction Nodal and mesh analysis can be tedious
More informationPHYSICS FORM 5 ELECTRICAL QUANTITES
QUANTITY SYMBOL UNIT SYMBOL Current I Amperes A Voltage (P.D.) V Volts V Resistance R Ohm Ω Charge (electric) Q Coulomb C Power P Watt W Energy E Joule J Time T seconds s Quantity of a Charge, Q Q = It
More information320-amp-models.tex Page 1 ECE 320. Amplifier Models. ECE Linear Active Circuit Design
320ampmodels.tex Page 1 ECE 320 Amplifier Models ECE 320 Linear Active Circuit Design 320ampmodels.tex Page 2 2Port Networks A 2port network is any circiut with two pairs of wires connecting to the outside
More informationNetwork 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 informationCircuit 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 informationUNIT 5: Electric Current and Direct-Current Circuit (D.C.)
UNT 5: Electric Current Direct-Current Circuit (D.C.) SF07 5. Electric Current, Consider a simple closed circuit consists of wires, a battery a lamp as shown in figure 5.a. F r e E r rea, From the figure,
More informationDesigning 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 informationDesigning Information Devices and Systems I Summer 2017 D. Aranki, F. Maksimovic, V. Swamy Midterm 2. Exam Location: 100 Genetics & Plant Bio
EECS 16A Designing Information Devices and Systems I Summer 2017 D. Aranki, F. Maksimovic, V. Swamy Midterm 2 Exam Location: 100 Genetics & Plant Bio PINT your student ID: PINT AND SIGN your name:, (last
More information