QUIZ 1 SOLUTION. One way of labeling voltages and currents is shown below.
|
|
- Harold Byrd
- 5 years ago
- Views:
Transcription
1 F 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 to label the directions of voltage-drop and currentdrop measurements for all resistors. Note that the measurements, if not specified, may be in either direction, although the arrow for the current measurement must point to the minus sign of the voltage measurement. One way of labeling voltages and currents is shown below. Note that we may omit current measurements for voltage sources and voltage measurements for current sources. There is nothing wrong with labeling such things, but it is unnecessary to find those values when solving for currents and voltages for resistors. If we do want to solve for those values, we may solve for the resistor currents and voltages first and then return to the circuit to solve for the missing values. We would again use Kirchhoff's laws to find the missing values, i.e., voltage loops and current sums at nodes.
2 Next, we color the nodes in the circuit and look for components in series. The components in series carry the same current, allowing us to reduce the current variables in a branch to a single one. We see that v s is in series with R 1, and i s is in series with R 3 and the 2v x source. It follows that i 1 flows in v s, and i s = 2 ma flows in R 3 and the 2v x source. In the latter case, we have components in series with a current source, and the branch is ruled by the current source. The components in series with the current source have no impact on the rest of the circuit, which sees only the 2 ma of the current source; R 3 and the 2v x source are invisible to the rest of the circuit. Thus, we may ignore R 3 and the 2v x source going forward. They have been solved: v x = i s R 3 = 2mA 18kΩ = 36V (1) This logic applies in general to components in series with current sources. These components only change the voltage drop across the current source. We are ready to start voltage loops. There is only one loop that avoids current sources, shown in red below. We could follow the loop in either direction. Here we go clockwise, and we will use the voltage sign where we enter a component. We get the following voltage-loop equation:
3 v 1 v s + v 2 = 0V (2) For current sums, we have two extraordinary nodes: We only need one of the extraordinary nodes, as the second one involves the same currents as the other. Using the top node and summing the currents out of the node, we get the following equation: i 1 + i 2 + 2mA = 0 A (3) Now we add Ohm's law equations for the resistors. v 1 = i 1 R 1 or i 1 = v 1 / R 1 (4) v 2 = i 2 R 2 or i 2 = v 2 / R 2 (5) We now have four equations in four unknowns, i 1, i 2, v 1, and v 2. From this point forward, we have an algebra problem that we could solve in a variety of ways. What follows in one possible approach. Since we are seeking a voltage as our answer, we will use the Ohm's law equations to eliminate the current variables. Equation (2) is already in terms of voltages, so we only need to modify (3). v 1 24 kω + v 2 + 2mA = 0 A (6) Now we have two equations in two unknowns, (2) and (6).
4 Now we eliminate v 1 by writing v 1 in terms of v 2. v 1 = v 2 v s (7) Substituting (7) into (6), we have an equation with only one unknown, v 2 : v 2 v s 24 kω + v 2 + 2mA = 0 A We factor out v 2 and we place constant terms on the right side. 1 24kΩ + 1 v v 2 = s We divide both sides by the multiplier of v 2, and then we multiply the numerator and denominator by the common denominator, to clear the fractions. v 2 = v s 1 24kΩ + 1 = v s 1 24kΩ kω 24 kω or v 2 = v s 48V 1+ 2 = 18V 48V 1+ 2 = 30V 3 = 10V Another method of solving this problem is to do a source transformation on the left side, but first we simplify the right branch to i s, as described above. Then we transform the left side from a Thevenin form to a Norton form.
5 Now we argue that v 2 appears across R 1 and R 2, and v 2 will appears across the equivalent of R 1 parallel R 2. The current sources may be summed, since they are in parallel. Since our measurement direction is up (our choice) we use positive i s2 (in the same direction, up) and negative i s (opposite direction, down). By Ohm's law, we have our answer: v 2 = (i s2 i s )R 1 R 2 = 1.25 A 8kΩ = 10V Note that the current measurement on the left measures current flowing up, over, and then down on the right side. For the resistor, this corresponds to a downward current measurement error, which obeys the passive sign convention. Thus, we don't need a minus sign in our voltage calculation.
COOKBOOK KVL AND KCL A COMPLETE GUIDE
1250 COOKBOOK KVL AND KCL A COMPLETE GUIDE Example circuit: 1) Label all source and component values with a voltage drop measurement (+,- ) and a current flow measurement (arrow): By the passive sign convention,
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 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 informationDC CIRCUIT ANALYSIS. Loop Equations
All of the rules governing DC circuits that have been discussed so far can now be applied to analyze complex DC circuits. To apply these rules effectively, loop equations, node equations, and equivalent
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 informationElectric Circuits Part 2: Kirchhoff s Rules
Electric Circuits Part 2: Kirchhoff s Rules Last modified: 31/07/2018 Contents Links Complex Circuits Applying Kirchhoff s Rules Example Circuit Labelling the currents Kirchhoff s First Rule Meaning Kirchhoff
More informationDiscussion Question 6A
Discussion Question 6 P212, Week 6 Two Methods for Circuit nalysis Method 1: Progressive collapsing of circuit elements In last week s discussion, we learned how to analyse circuits involving batteries
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 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 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 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 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 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 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 informationOutline. 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 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 informationExercise 2: Kirchhoff s Current Law/2 Sources
Exercise 2: Kirchhoff s Current Law/2 Sources EXERCISE OBJECTIVE When you have completed this exercise, you will be able to apply Kirchhoff s current law to a circuit having two voltage sources. You will
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 informationAnalysis of a single-loop circuit using the KVL method
Analysis of a single-loop circuit using the KVL method Figure 1 is our circuit to analyze. We shall attempt to determine the current through each element, the voltage across each element, and the power
More informationE1.1 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 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 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 informationReview of Circuit Analysis
Review of Circuit Analysis Fundamental elements Wire Resistor Voltage Source Current Source Kirchhoff s Voltage and Current Laws Resistors in Series Voltage Division EE 42 Lecture 2 1 Voltage and 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 information6. MESH ANALYSIS 6.1 INTRODUCTION
6. MESH ANALYSIS INTRODUCTION PASSIVE SIGN CONVENTION PLANAR CIRCUITS FORMATION OF MESHES ANALYSIS OF A SIMPLE CIRCUIT DETERMINANT OF A MATRIX CRAMER S RULE GAUSSIAN ELIMINATION METHOD EXAMPLES FOR MESH
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module DC Circuit Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide
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 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 informationMasteringPhysics: Assignment Print View. Problem 30.50
Page 1 of 15 Assignment Display Mode: View Printable Answers phy260s08 homework 13 Due at 11:00pm on Wednesday, May 14, 2008 View Grading Details Problem 3050 Description: A 15-cm-long nichrome wire is
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 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 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 informationLecture 3 BRANCHES AND NODES
Lecture 3 Definitions: Circuits, Nodes, Branches Kirchoff s Voltage Law (KVL) Kirchoff s Current Law (KCL) Examples and generalizations RC Circuit Solution 1 Branch: BRANCHES AND NODES elements connected
More informationDC Circuit Analysis + 1 R 3 = 1 R R 2
DC Circuit Analysis In analyzing circuits, it is generally the current that is of interest. You have seen how Ohm s Law can be used to analyze very simple circuits consisting of an EMF and single resistance.
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 informationNetwork Analysis V. Mesh Equations Three Loops
Network Analysis V Mesh Equations Three Loops Circuit overview A B V1 12 V R1 R3 C R2 R4 I A I B I C D R6 E F R5 R7 R8 G V2 8 V H Using the method of mesh currents, solve for all the unknown values of
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 informationUNIVERSITY OF ALABAMA Department of Physics and Astronomy. PH / LeClair Fall Circuits Exercises
UNIVERSITY OF ALABAMA Department of Physics and Astronomy PH 106-4 / LeClair Fall 008 Circuits Exercises 1. Are the two headlights of a car wired in series or in parallel? How can you tell? Have you ever
More informationDesigning 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 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 informationDesigning Information Devices and Systems I Spring 2018 Lecture Notes Note 11
EECS 16A Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 11 11.1 Context Our ultimate goal is to design systems that solve people s problems. To do so, it s critical to understand
More informationECE KIRCHHOFF'S LAWS - INVESTIGATION 8 KIRCHHOFF'S VOLTAGE LAW
ECE 109 - KIRCHHOFF'S LAWS - IVESTIGATIO 8 KIRCHHOFF'S VOLTAGE LAW FALL 2006 A.P. FELZER To do "well" on this investigation you must not only get the right answers but must also do neat, complete and concise
More informationNotes 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 informationENGG 225. David Ng. Winter January 9, Circuits, Currents, and Voltages... 5
ENGG 225 David Ng Winter 2017 Contents 1 January 9, 2017 5 1.1 Circuits, Currents, and Voltages.................... 5 2 January 11, 2017 6 2.1 Ideal Basic Circuit Elements....................... 6 3 January
More informationChapter 6 DIRECT CURRENT CIRCUITS. Recommended Problems: 6,9,11,13,14,15,16,19,20,21,24,25,26,28,29,30,31,33,37,68,71.
Chapter 6 DRECT CURRENT CRCUTS Recommended Problems: 6,9,,3,4,5,6,9,0,,4,5,6,8,9,30,3,33,37,68,7. RESSTORS N SERES AND N PARALLEL - N SERES When two resistors are connected together as shown we said that
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 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 informationDirect Current Circuits. February 18, 2014 Physics for Scientists & Engineers 2, Chapter 26 1
Direct Current Circuits February 18, 2014 Physics for Scientists & Engineers 2, Chapter 26 1 Kirchhoff s Junction Rule! The sum of the currents entering a junction must equal the sum of the currents leaving
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 informationmywbut.com Mesh Analysis
Mesh Analysis 1 Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide more general and powerful circuit analysis tool based on Kirchhoff s voltage law (KVL) only.
More informationELECTRICAL THEORY. Ideal Basic Circuit Element
ELECTRICAL THEORY PROF. SIRIPONG POTISUK ELEC 106 Ideal Basic Circuit Element Has only two terminals which are points of connection to other circuit components Can be described mathematically in terms
More informationMulti-loop Circuits and Kirchoff's Rules
1 of 8 01/21/2013 12:50 PM Multi-loop Circuits and Kirchoff's Rules 7-13-99 Before talking about what a multi-loop circuit is, it is helpful to define two terms, junction and branch. A junction is a point
More informationReview of Ohm's Law: The potential drop across a resistor is given by Ohm's Law: V= IR where I is the current and R is the resistance.
DC Circuits Objectives The objectives of this lab are: 1) to construct an Ohmmeter (a device that measures resistance) using our knowledge of Ohm's Law. 2) to determine an unknown resistance using our
More informationElectricity & Magnetism
Electricity & Magnetism D.C. Circuits Marline Kurishingal Note : This chapter includes only D.C. In AS syllabus A.C is not included. Recap... Electrical Circuit Symbols : Draw and interpret circuit diagrams
More informationP202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova
P202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova Name: Date: (5)1. How many electrons flow through a battery that delivers a current of 3.0 A for 12 s? A) 4 B) 36 C) 4.8 10 15 D) 6.4 10 18 E)
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 informationES250: Electrical Science. HW1: Electric Circuit Variables, Elements and Kirchhoff s Laws
ES250: Electrical Science HW1: Electric Circuit Variables, Elements and Kirchhoff s Laws Introduction Engineers use electric circuits to solve problems that are important to modern society, such as: 1.
More informationTHERE MUST BE 50 WAYS TO FIND YOUR VALUES: AN EXPLORATION OF CIRCUIT ANALYSIS TECHNIQUES FROM OHM S LAW TO EQUIVALENT CIRCUITS
THERE MUST BE 50 WAYS TO FIND YOUR VALUES: AN EXPLORATION OF CIRCUIT ANALYSIS TECHNIQUES FROM OHM S LAW TO EQUIVALENT CIRCUITS Kristine McCarthy Josh Pratti Alexis Rodriguez-Carlson November 20, 2006 Table
More informationKirchhoff 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 informationElectric 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 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 informationKIRCHHOFF S LAWS. Learn how to analyze more complicated circuits with more than one voltage source and numerous resistors.
KIRCHHOFF S LAWS Lab Goals: Learn how to analyze more complicated circuits with more than one voltage source and numerous resistors. Lab Notebooks: Write descriptions of all of your experiments in your
More informationLecture # 2 Basic Circuit Laws
CPEN 206 Linear Circuits Lecture # 2 Basic Circuit Laws Dr. Godfrey A. Mills Email: gmills@ug.edu.gh Phone: 026907363 February 5, 206 Course TA David S. Tamakloe CPEN 206 Lecture 2 205_206 What is Electrical
More informationDEPARTMENT OF COMPUTER ENGINEERING UNIVERSITY OF LAHORE
DEPARTMENT OF COMPUTER ENGINEERING UNIVERSITY OF LAHORE NAME. Section 1 2 3 UNIVERSITY OF LAHORE Department of Computer engineering Linear Circuit Analysis Laboratory Manual 2 Compiled by Engr. Ahmad Bilal
More informationPower lines. Why do birds sitting on a high-voltage power line survive?
Power lines At large distances, the resistance of power lines becomes significant. To transmit maximum power, is it better to transmit high V, low I or high I, low V? (a) high V, low I (b) low V, high
More informationExperiment 5 Voltage Divider Rule for Series Circuits
Experiment 5 Voltage Divider Rule for Series Circuits EL - DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives:. For the student
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 information... after Norton conversion...
Norton 's Theorem states that it is possible to simplify any linear circuit, no matter how complex, to an equivalent circuit with just a single current source and parallel resistance connected to a load.
More informationMultiloop DC Circuits (Kirchhoff s Rules)
Multiloop DC Circuits (Kirchhoff s Rules) In analyzing circuits, it is generally the current that is of interest. You have seen how Ohm s Law can be used to analyze very simple circuits consisting of an
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 informationAgenda for Today. Elements of Physics II. Resistance Resistors Series Parallel Ohm s law Electric Circuits. Current Kirchoff s laws
Resistance Resistors Series Parallel Ohm s law Electric Circuits Physics 132: Lecture e 17 Elements of Physics II Current Kirchoff s laws Agenda for Today Physics 201: Lecture 1, Pg 1 Clicker Question
More informationElectrical Technology (EE-101-F)
Electrical Technology (EE-101-F) Contents Series & Parallel Combinations KVL & KCL Introduction to Loop & Mesh Analysis Frequently Asked Questions NPTEL Link Series-Parallel esistances 1 V 3 2 There are
More informationProblem Set 5: Solutions. UNIVERSITY OF ALABAMA Department of Physics and Astronomy. PH 102 / LeClair Summer II Ω 3 Ω 1 Ω 18 V 15 V
UNVERSTY OF ALABAMA Department of Physics and Astronomy PH 102 / LeClair Summer 2010 Problem Set 5: Solutions 1. Find the current in the 1 Ω resistor in the circuit below. 5 Ω 3 Ω + + - 18 V 15 V - 1 Ω
More informationCHAPTER 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 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 informationPhysics 102: Lecture 06 Kirchhoff s Laws
Physics 102: Lecture 06 Kirchhoff s Laws Physics 102: Lecture 6, Slide 1 Today Last Lecture Last Time Resistors in series: R eq = R 1 R 2 R 3 Current through each is same; Voltage drop is IR i Resistors
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 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 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 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 prescribed method quite well, but there is one situation
More informationOne-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 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 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 informationChapter 28. Direct Current Circuits
Chapter 28 Direct Current Circuits Circuit Analysis Simple electric circuits may contain batteries, resistors, and capacitors in various combinations. For some circuits, analysis may consist of combining
More informationProblem 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 informationIMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE UNIVERSITY OF LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010
Paper Number(s): E1.1 IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE UNIVERSITY OF LONDON DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATIONS 2010 EEE/ISE PART I: MEng, BEng and ACGI
More informationANNOUNCEMENT ANNOUNCEMENT
ANNOUNCEMENT Exam : Tuesday September 25, 208, 8 PM - 0 PM Location: Elliott Hall of Music (see seating chart) Covers all readings, lectures, homework from Chapters 2 through 23 Multiple choice (5-8 questions)
More information2. The following diagram illustrates that voltage represents what physical dimension?
BioE 1310 - Exam 1 2/20/2018 Answer Sheet - Correct answer is A for all questions 1. A particular voltage divider with 10 V across it consists of two resistors in series. One resistor is 7 KΩ and the other
More informationHomework 1 solutions
Electric Circuits 1 Homework 1 solutions (Due date: 2014/3/3) This assignment covers Ch1 and Ch2 of the textbook. The full credit is 100 points. For each question, detailed derivation processes and accurate
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 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 informationKirchhoff s laws. Figur 1 An electric network.
Kirchhoff s laws. Kirchhoff s laws are most central to the physical systems theory, in which modeling consists in putting simple building blocks together. The laws are commonly known within electric network
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 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 informationWriting Circuit Equations
2 C H A P T E R Writing Circuit Equations Objectives By the end of this chapter, you should be able to do the following: 1. Find the complete solution of a circuit using the exhaustive, node, and mesh
More informationChapter 7. Chapter 7
Chapter 7 Combination circuits Most practical circuits have combinations of series and parallel components. You can frequently simplify analysis by combining series and parallel components. An important
More informationSeries/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 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 informationCIRCUIT ANALYSIS TECHNIQUES
APPENDI B CIRCUIT ANALSIS TECHNIQUES The following methods can be used to combine impedances to simplify the topology of an electric circuit. Also, formulae are given for voltage and current division across/through
More informationCHAPTER D.C. CIRCUITS
Solutions--Ch. 16 (D.C. Circuits) CHAPTER 16 -- D.C. CIRCUITS 16.1) Consider the circuit to the right: a.) The voltage drop across R must be zero if there is to be no current through it, which means the
More information