4. Basic Nodal and Mesh Analysis
|
|
- James Simon
- 7 years ago
- Views:
Transcription
1 1 4. Basic Nodal and Mesh Analysis This chapter introduces two basic circuit analysis techniques named nodal analysis and mesh analysis 4.1 Nodal Analysis For a simple circuit with two nodes, we often have one unknown voltage between two nodes To solve the unknown, applying KCL at this node gives Adding a node should provide an additional unknown, three-node circuit has 2 unknown N-node circuit has (N-1) voltages with (N-1) equations.
2 2 Nodal technique applies the following step 1- Count the number of nodes (N) 2- Designate a reference node 3- Label the nodal voltages (we have N-1 voltages)
3 3 4- Write KCL equations for the non-reference nodes (currents in = currents out) 5- Organize the equations (1) (2) 6- Solve the system of equations for the nodal voltages
4 4 Using a Cramer's rule and determinants, we have
5 5 Compute the voltages at each node Ans: Write KCL equations for the three nodes Organize the equations (1) (2) (3)
6 6 Compute the voltage at each node Ans: Solve the system of equations for the nodal voltages Use a Cramer's rule and determinants to solve the system
7 7 4.2 Nodal Analysis with Supernode A supernode is formed when a voltage source is the only element connected between two essential nodes 1- Define a current through the source and write KCL equations for the two nodes 2- We note that there is no need to determine i vs to solve the circuit 3- Apply KVL between the two nodes (1) (2) Thus, the KCL at the supernode is directly given by
8 8 Determines the node-to reference voltages. Node 1 to reference is supernode Node 2 Node 3 & node 4 Express v x= v 2 -v 1 and v y= v 4 -v 1 in terms of nodal voltages and organize the equations (1) Solve to get (2) (3)
9 9 4.3 Mesh Analysis In nodal analysis, circuit variables are node voltages Nodal analysis applies KCL to find unknown voltages In mesh analysis, circuit variables are mesh currents Mesh analysis applies KVL to find unknown currents Both methods result in a system of linear equations Mesh analysis is only applicable to a circuit that is planar Planar vs. Non-planar Circuits Planar circuit: it can be drawn on a plane surface where no branch cross any other branch (element) Non-planar circuit there is no way to redraw it and avoid the branches crossing Planar circuit Non planar circuit
10 10 Mesh & mesh current A mesh is a property of a planar circuit and it is defined a loop that does not contain any other loops within it The current through a mesh is known as a mesh current mesh mesh
11 Mesh Analysis 1. Determine if the circuit is a planar circuit. If not, perform nodal analysis instead. 2. Count the number of meshes (M) 3. Label each of the M mesh currents (defining all mesh currents to flow clockwise results in a simpler analysis) 4. Write a KVL equation around each mesh For mesh 1, we have or (1) For mesh 2, we have or (2) The solution is easily obtained
12 12 Determine the power supplied by the 2 V source. i 1 i 2 We first define two clockwise mesh currents For mesh 1, we write the following KVL equation The same for mesh 2, we write
13 13 Rearranging and grouping terms, we have and Solve the both equation yields i 1 =1.132 A and i 2 = A The 2 V source supplies (2)(i 1 -i 2 )=2.4 W
14 The Supermesh Similar to the supernode in a node voltage analysis A supermesh is formed when a current source is the only element connected between two meshes 1- Define a voltage across the source and write KVL equations for the two meshes and 2- We do not need to evaluate v cs to solve the circuit 3- This leads us to create a supermesh whose interior is that of mesh 1 and mesh 2 4- Finally, the source current is related to the mesh currents,
15 15 Determine the three mesh currents. i 1 i 2 i 1 i 2 i 1 -i 2 i 1 -i 2 i 3 -i 2 i 3 i 3 -i 2 i 3 The 7 A independent current source forms a supermesh between mesh 1 and mesh 3 Applying KVL over the supermesh gives or KVL for mesh 2 or i 1 -i 3
16 16 Homework Assignment 3 P4.8, P4.10, P4.14, P4.22, P4.26, P4.31, P4.36, P4.44
Mesh-Current Method (Loop Analysis)
Mesh-Current Method (Loop Analysis) Nodal analysis was developed by applying KCL at each non-reference node. Mesh-Current method is developed by applying KVL around meshes in the circuit. A mesh is a loop
More information120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY PROBLEMS SECTION 3.1
IRWI03_082132v3 8/26/04 9:41 AM Page 120 120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY Nodal analysis for an Nnode circuit Select one node in the Nnode circuit as the reference node. Assume
More informationCircuit Analysis using the Node and Mesh Methods
Circuit Analysis using the Node and Mesh Methods We have seen that using Kirchhoff s laws and Ohm s law we can analyze any circuit to determine the operating conditions (the currents and voltages). The
More informationTECHNIQUES OF. C.T. Pan 1. C.T. Pan
TECHNIQUES OF CIRCUIT ANALYSIS C.T. Pan 1 4.1 Introduction 4.2 The Node-Voltage Method ( Nodal Analysis ) 4.3 The Mesh-Current Method ( Mesh Analysis ) 4.4 Fundamental Loop Analysis 4.5 Fundamental Cutset
More informationNodal and Loop Analysis
Nodal and Loop Analysis The process of analyzing circuits can sometimes be a difficult task to do. Examining a circuit with the node or loop methods can reduce the amount of time required to get important
More informationExample: Determine the power supplied by each of the sources, independent and dependent, in this circuit:
Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit: Solution: We ll begin by choosing the bottom node to be the reference node. Next we ll label the
More informationLecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010. Dr.Prapun Suksompong 1 June 16, 2010
Sirindhorn International Institute of Technology Thammasat University School of Information, Computer and Communication Technology Lecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010 Dr.Prapun
More informationThevenin Equivalent Circuits
hevenin Equivalent Circuits Introduction In each of these problems, we are shown a circuit and its hevenin or Norton equivalent circuit. he hevenin and Norton equivalent circuits are described using three
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 informationSeries and Parallel Resistive Circuits
Series and Parallel Resistive Circuits The configuration of circuit elements clearly affects the behaviour of a circuit. Resistors connected in series or in parallel are very common in a circuit and act
More informationCircuits 1 M H Miller
Introduction to Graph Theory Introduction These notes are primarily a digression to provide general background remarks. The subject is an efficient procedure for the determination of voltages and currents
More information2.1 Introduction. 2.2 Terms and definitions
.1 Introduction An important step in the procedure for solving any circuit problem consists first in selecting a number of independent branch currents as (known as loop currents or mesh currents) variables,
More informationBasic Laws Circuit Theorems Methods of Network Analysis Non-Linear Devices and Simulation Models
EE Modul 1: Electric Circuits Theory Basic Laws Circuit Theorems Methods of Network Analysis Non-Linear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Current, Voltage, Impedance Ohm
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 informationW03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören
W03 Analysis of DC Circuits Yrd. Doç. Dr. Aytaç Gören ELK 2018 - Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors and
More informationHow To Find The Current Of A Circuit
The node voltage method Equivalent resistance Voltage / current dividers Source transformations Node voltages Mesh currents Superposition Not every circuit lends itself to short-cut methods. Sometimes
More informationSeries-Parallel Circuits. Objectives
Series-Parallel Circuits Objectives Identify series-parallel configuration Analyze series-parallel circuits Apply KVL and KCL to the series-parallel circuits Analyze loaded voltage dividers Determine the
More informationES250: Electrical Science. HW7: Energy Storage Elements
ES250: Electrical Science HW7: Energy Storage Elements Introduction This chapter introduces two more circuit elements, the capacitor and the inductor whose elements laws involve integration or differentiation;
More information3: Nodal Analysis. E1.1 Analysis of Circuits (2015-7020) Nodal Analysis: 3 1 / 12. 3: Nodal Analysis
Current Floating Voltage Dependent E1.1 Analysis of Circuits (2015-7020) Nodal Analysis: 3 1 / 12 Aim of Nodal Analysis Current Floating Voltage Dependent The aim of nodal analysis is to determine the
More information3.1. Solving linear equations. Introduction. Prerequisites. Learning Outcomes. Learning Style
Solving linear equations 3.1 Introduction Many problems in engineering reduce to the solution of an equation or a set of equations. An equation is a type of mathematical expression which contains one or
More informationEquations, Inequalities & Partial Fractions
Contents Equations, Inequalities & Partial Fractions.1 Solving Linear Equations 2.2 Solving Quadratic Equations 1. Solving Polynomial Equations 1.4 Solving Simultaneous Linear Equations 42.5 Solving Inequalities
More informationEXAMPLE 8: An Electrical System (Mechanical-Electrical Analogy)
EXAMPLE 8: An Electrical System (Mechanical-Electrical Analogy) A completely analogous procedure can be used to find the state equations of electrical systems (and, ultimately, electro-mechanical systems
More informationFundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2
Fundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2 Chapter: Sinusoidal Steady State Analysis / Netzwerkanalyse bei harmonischer Erregung Michael E. Auer Source of figures: Alexander/Sadiku:
More informationDC mesh current analysis
DC mesh current analysis This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More information= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W
Physics 2220 Module 06 Homework 0. What are the magnitude and direction of the current in the 8 Ω resister in the figure? Assume the current is moving clockwise. Then use Kirchhoff's second rule: 3.00
More informationLecture 7 Circuit analysis via Laplace transform
S. Boyd EE12 Lecture 7 Circuit analysis via Laplace transform analysis of general LRC circuits impedance and admittance descriptions natural and forced response circuit analysis with impedances natural
More information8.2. Solution by Inverse Matrix Method. Introduction. Prerequisites. Learning Outcomes
Solution by Inverse Matrix Method 8.2 Introduction The power of matrix algebra is seen in the representation of a system of simultaneous linear equations as a matrix equation. Matrix algebra allows us
More informationDependent Sources: Introduction and analysis of circuits containing dependent sources.
Dependent Sources: Introduction and analysis of circuits containing dependent sources. So far we have explored timeindependent (resistive) elements that are also linear. We have seen that two terminal
More informationCornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (Series-Parallel Circuits)
Cornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (Series-Parallel Circuits) Administration: o Prayer o Turn in quiz Electricity and Electronics, Chapter 8, Introduction: o
More informationChapter 1. Fundamental Electrical Concepts
Chapter 1 Fundamental Electrical Concepts Charge, current, voltage, power circuits, nodes, branches Branch and node voltages, Kirchhoff Laws Basic circuit elements, combinations 01 fundamental 1 1.3 Electrical
More informationUsing the Impedance Method
Using the Impedance Method The impedance method allows us to completely eliminate the differential equation approach for the determination of the response of circuits. In fact the impedance method even
More informationDepartment of Electrical and Electronic Engineering, California State University, Sacramento
Department of Electrical and Electronic Engineering, California State University, Sacramento Engr 17 Introductory Circuit Analysis, graded, 3 units Instructor: Tatro - Spring 2016 Section 2, Call No. 30289,
More information+ + + - - This circuit than can be reduced to a planar circuit
MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to
More informationLab 7: Operational Amplifiers Part I
Lab 7: Operational Amplifiers Part I Objectives The objective of this lab is to study operational amplifier (op amp) and its applications. We will be simulating and building some basic op amp circuits,
More informationBasic Principles of. Electricity. Basic Principles of Electricity. by Prof. Dr. Osman SEVAİOĞLU Electrical and Electronics Engineering Department
Basic Principles of Electricity METU by Prof. Dr. Osman SEVAİOĞLU Electrical and Electronics Engineering Department EE 209 Fundamentals of Electrical and Electronics Engineering, Prof. Dr. O. SEVAİOĞLU,
More information521493S Computer Graphics. Exercise 2 & course schedule change
521493S Computer Graphics Exercise 2 & course schedule change Course Schedule Change Lecture from Wednesday 31th of March is moved to Tuesday 30th of March at 16-18 in TS128 Question 2.1 Given two nonparallel,
More information12.4 UNDRIVEN, PARALLEL RLC CIRCUIT*
+ v C C R L - v i L FIGURE 12.24 The parallel second-order RLC circuit shown in Figure 2.14a. 12.4 UNDRIVEN, PARALLEL RLC CIRCUIT* We will now analyze the undriven parallel RLC circuit shown in Figure
More informationCircuits. The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same
Circuits The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same Circuit II has ½ current of each branch of circuit
More information3.6. Partial Fractions. Introduction. Prerequisites. Learning Outcomes
Partial Fractions 3.6 Introduction It is often helpful to break down a complicated algebraic fraction into a sum of simpler fractions. For 4x + 7 example it can be shown that x 2 + 3x + 2 has the same
More informationPreamble. Kirchoff Voltage Law (KVL) Series Resistors. In this section of my lectures we will be. resistor arrangements; series and
Preamble Series and Parallel Circuits Physics, 8th Edition Custom Edition Cutnell & Johnson Chapter 0.6-0.8, 0.0 Pages 60-68, 69-6 n this section of my lectures we will be developing the two common types
More informationExperiment 4 ~ Resistors in Series & Parallel
Experiment 4 ~ Resistors in Series & Parallel Objective: In this experiment you will set up three circuits: one with resistors in series, one with resistors in parallel, and one with some of each. You
More informationExperiment 8 Series-Parallel Circuits
Experiment 8 Series-Parallel Circuits EL 111 - DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More information1. Introduction and Chapter Objectives
Real Analog Circuits 1 Chapter 1: Circuit Analysis Fundamentals 1. Introduction and Chapter Objectives In this chapter, we introduce all fundamental concepts associated with circuit analysis. Electrical
More informationChapter 5. Parallel Circuits ISU EE. C.Y. Lee
Chapter 5 Parallel Circuits Objectives Identify a parallel circuit Determine the voltage across each parallel branch Apply Kirchhoff s current law Determine total parallel resistance Apply Ohm s law in
More informationPrinciples and Working of DC and AC machines
BITS Pilani Dubai Campus Principles and Working of DC and AC machines Dr Jagadish Nayak Constructional features BITS Pilani Dubai Campus DC Generator A generator consists of a stationary portion called
More informationApplication of Linear Algebra in. Electrical Circuits
Application of Linear Algebra in Electrical Circuits Seamleng Taing Math 308 Autumn 2001 December 2, 2001 Table of Contents Abstract..3 Applications of Linear Algebra in Electrical Circuits Explanation..
More information(6)(2) (-6)(-4) (-4)(6) + (-2)(-3) + (4)(3) + (2)(-3) = -12-24 + 24 + 6 + 12 6 = 0
Chapter 3 Homework Soluton P3.-, 4, 6, 0, 3, 7, P3.3-, 4, 6, P3.4-, 3, 6, 9, P3.5- P3.6-, 4, 9, 4,, 3, 40 ---------------------------------------------------- P 3.- Determne the alues of, 4,, 3, and 6
More informationLecture 12: DC Analysis of BJT Circuits.
Whites, 320 Lecture 12 Page 1 of 9 Lecture 12: D Analysis of JT ircuits. n this lecture we will consider a number of JT circuits and perform the D circuit analysis. For those circuits with an active mode
More informationSchool of Engineering Department of Electrical and Computer Engineering
1 School of Engineering Department of Electrical and Computer Engineering 332:223 Principles of Electrical Engineering I Laboratory Experiment #4 Title: Operational Amplifiers 1 Introduction Objectives
More informationEquivalent Circuits and Transfer Functions
R eq isc Equialent Circuits and Transfer Functions Samantha R Summerson 14 September, 009 1 Equialent Circuits eq ± Figure 1: Théenin equialent circuit. i sc R eq oc Figure : Mayer-Norton equialent circuit.
More informationSum of Degrees of Vertices Theorem
Sum of Degrees of Vertices Theorem Theorem (Sum of Degrees of Vertices Theorem) Suppose a graph has n vertices with degrees d 1, d 2, d 3,...,d n. Add together all degrees to get a new number d 1 + d 2
More informationFigure 1. Diode circuit model
Semiconductor Devices Non-linear Devices Diodes Introduction. The diode is two terminal non linear device whose I-V characteristic besides exhibiting non-linear behavior is also polarity dependent. The
More informationLecture 3: DC Analysis of Diode Circuits.
Whites, EE 320 Lecture 3 Page 1 of 10 Lecture 3: DC Analysis of Diode Circuits. We ll now move on to the DC analysis of diode circuits. Applications will be covered in following lectures. Let s consider
More informationGraph Theory Lecture 3: Sum of Degrees Formulas, Planar Graphs, and Euler s Theorem Spring 2014 Morgan Schreffler Office: POT 902
Graph Theory Lecture 3: Sum of Degrees Formulas, Planar Graphs, and Euler s Theorem Spring 2014 Morgan Schreffler Office: POT 902 http://www.ms.uky.edu/~mschreffler Different Graphs, Similar Properties
More informationStress Recovery 28 1
. 8 Stress Recovery 8 Chapter 8: STRESS RECOVERY 8 TABLE OF CONTENTS Page 8.. Introduction 8 8.. Calculation of Element Strains and Stresses 8 8.. Direct Stress Evaluation at Nodes 8 8.. Extrapolation
More informationVoltage Divider Bias
Voltage Divider Bias ENGI 242 ELEC 222 BJT Biasing 3 For the Voltage Divider Bias Configurations Draw Equivalent Input circuit Draw Equivalent Output circuit Write necessary KVL and KCL Equations Determine
More informationOPERATIONAL AMPLIFIERS
INTRODUCTION OPERATIONAL AMPLIFIERS The student will be introduced to the application and analysis of operational amplifiers in this laboratory experiment. The student will apply circuit analysis techniques
More informationTristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006. Written By: Tristan Miller Tristan@CatherineNorth.com
Tristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006 Written By: Tristan Miller Tristan@CatherineNorth.com Parallel Circuits. Parallel Circuits are a little bit more complicated
More informationSolving simultaneous equations using the inverse matrix
Solving simultaneous equations using the inverse matrix 8.2 Introduction The power of matrix algebra is seen in the representation of a system of simultaneous linear equations as a matrix equation. Matrix
More informationFinite Element Formulation for Plates - Handout 3 -
Finite Element Formulation for Plates - Handout 3 - Dr Fehmi Cirak (fc286@) Completed Version Definitions A plate is a three dimensional solid body with one of the plate dimensions much smaller than the
More informationLAB2 Resistors, Simple Resistive Circuits in Series and Parallel Objective:
LAB2 Resistors, Simple Resistive Circuits in Series and Parallel Objective: In this lab, you will become familiar with resistors and potentiometers and will learn how to measure resistance. You will also
More informationThe Basics of FEA Procedure
CHAPTER 2 The Basics of FEA Procedure 2.1 Introduction This chapter discusses the spring element, especially for the purpose of introducing various concepts involved in use of the FEA technique. A spring
More informationRatio and Proportion Study Guide 12
Ratio and Proportion Study Guide 12 Ratio: A ratio is a comparison of the relationship between two quantities or categories of things. For example, a ratio might be used to compare the number of girls
More informationMap Patterns and Finding the Strike and Dip from a Mapped Outcrop of a Planar Surface
Map Patterns and Finding the Strike and Dip from a Mapped Outcrop of a Planar Surface Topographic maps represent the complex curves of earth s surface with contour lines that represent the intersection
More informationis identically equal to x 2 +3x +2
Partial fractions 3.6 Introduction It is often helpful to break down a complicated algebraic fraction into a sum of simpler fractions. 4x+7 For example it can be shown that has the same value as 1 + 3
More informationRecognizing and understanding schematic symbols will enable you to comprehend a circuit s function.
Schematic symbols are used to identify and graphically depict the function of fluid power components. Recognizing and understanding schematic symbols will enable you to comprehend a circuit s function.
More informationExperiment NO.3 Series and parallel connection
Experiment NO.3 Series and parallel connection Object To study the properties of series and parallel connection. Apparatus 1. DC circuit training system 2. Set of wires. 3. DC Power supply 4. Digital A.V.O.
More information5.5. Solving linear systems by the elimination method
55 Solving linear systems by the elimination method Equivalent systems The major technique of solving systems of equations is changing the original problem into another one which is of an easier to solve
More informationSuperposition Examples
Superposition Examples The following examples illustrate the proper use of superposition of dependent sources. All superposition equations are written by inspection using voltage division, current division,
More informationBJT Amplifier Circuits
JT Amplifier ircuits As we have developed different models for D signals (simple large-signal model) and A signals (small-signal model), analysis of JT circuits follows these steps: D biasing analysis:
More informationBasic numerical skills: EQUATIONS AND HOW TO SOLVE THEM. x + 5 = 7 2 + 5-2 = 7-2 5 + (2-2) = 7-2 5 = 5. x + 5-5 = 7-5. x + 0 = 20.
Basic numerical skills: EQUATIONS AND HOW TO SOLVE THEM 1. Introduction (really easy) An equation represents the equivalence between two quantities. The two sides of the equation are in balance, and solving
More informationSupplement Reading on Diode Circuits. http://www.inst.eecs.berkeley.edu/ edu/~ee40/fa09/handouts/ee40_mos_circuit.pdf
EE40 Lec 18 Diode Circuits Reading: Chap. 10 of Hambley Supplement Reading on Diode Circuits http://www.inst.eecs.berkeley.edu/ edu/~ee40/fa09/handouts/ee40_mos_circuit.pdf Slide 1 Diodes Circuits Load
More informationBJT Amplifier Circuits
JT Amplifier ircuits As we have developed different models for D signals (simple large-signal model) and A signals (small-signal model), analysis of JT circuits follows these steps: D biasing analysis:
More informationAASHTOWare Bridge Design and Rating Training. STL8 Single Span Steel 3D Example (BrDR 6.6)
AASHTOWare Bridge Design and Rating Training STL8 Single Span Steel 3D Example (BrDR 6.6) Last Modified: 4/28/2015 STL8-1 AASHTOWare BrDR 6.5 AASHTOWare Bridge Design and Rating Training STL8 Single Span
More informationVer 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2)
Ver 3537 E. Analysis of Circuits () Key: [A]= easy... [E]=hard E. Circuit Analysis Problem Sheet (Lectures & ). [A] One of the following circuits is a series circuit and the other is a parallel circuit.
More information6 Series Parallel Circuits
6 Series Parallel Circuits This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/3.0/. Air Washington
More informationThe DC Motor. Physics 1051 Laboratory #5 The DC Motor
The DC Motor Physics 1051 Laboratory #5 The DC Motor Contents Part I: Objective Part II: Introduction Magnetic Force Right Hand Rule Force on a Loop Magnetic Dipole Moment Torque Part II: Predictions Force
More informationTemperature Scales. The metric system that we are now using includes a unit that is specific for the representation of measured temperatures.
Temperature Scales INTRODUCTION The metric system that we are now using includes a unit that is specific for the representation of measured temperatures. The unit of temperature in the metric system is
More information13.10: How Series and Parallel Circuits Differ pg. 571
13.10: How Series and Parallel Circuits Differ pg. 571 Key Concepts: 5. Connecting loads in series and parallel affects the current, potential difference, and total resistance. - Using your knowledge of
More informationEdmund Li. Where is defined as the mutual inductance between and and has the SI units of Henries (H).
INDUCTANCE MUTUAL INDUCTANCE If we consider two neighbouring closed loops and with bounding surfaces respectively then a current through will create a magnetic field which will link with as the flux passes
More informationThe purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.
260 17-1 I. THEORY EXPERIMENT 17 QUALITATIVE STUDY OF INDUCED EMF Along the extended central axis of a bar magnet, the magnetic field vector B r, on the side nearer the North pole, points away from this
More informationExperiment #5, Series and Parallel Circuits, Kirchhoff s Laws
Physics 182 Summer 2013 Experiment #5 1 Experiment #5, Series and Parallel Circuits, Kirchhoff s Laws 1 Purpose Our purpose is to explore and validate Kirchhoff s laws as a way to better understanding
More informationSIGNAL FLOW GRAPHS. Prof. S. C.Pilli, Principal, Session: XI, 19/09/06 K.L.E.S. College of Engineering and Technology, Belgaum-590008.
SIGNA FOW GAPHS An alternate to block diagram is the signal flow graph due to S. J. Mason. A signal flow graph is a diagram that represents a set of simultaneous linear algebraic equations. Each signal
More informationRemoving Even Crossings
EuroComb 2005 DMTCS proc. AE, 2005, 105 110 Removing Even Crossings Michael J. Pelsmajer 1, Marcus Schaefer 2 and Daniel Štefankovič 2 1 Department of Applied Mathematics, Illinois Institute of Technology,
More informationMohr s Circle. Academic Resource Center
Mohr s Circle Academic Resource Center Introduction The transformation equations for plane stress can be represented in graphical form by a plot known as Mohr s Circle. This graphical representation is
More informationis identically equal to x 2 +3x +2
Partial fractions.6 Introduction It is often helpful to break down a complicated algebraic fraction into a sum of simpler fractions. 4x+7 For example it can be shown that has the same value as + for any
More informationHow To Calculate The Power Gain Of An Opamp
A. M. Niknejad University of California, Berkeley EE 100 / 42 Lecture 8 p. 1/23 EE 42/100 Lecture 8: Op-Amps ELECTRONICS Rev C 2/8/2012 (9:54 AM) Prof. Ali M. Niknejad University of California, Berkeley
More informationDOKUZ EYLUL UNIVERSITY FACULTY OF ENGINEERING OFFICE OF THE DEAN COURSE / MODULE / BLOCK DETAILS ACADEMIC YEAR / SEMESTER. Course Code: EEE 2073
Offered by: Elektrik-Elektronik Mühendisliği Course Title: FUNDAMENTALS OF ELECTRIC AND ELECTRONICS Course Org. Title: FUNDAMENTALS OF ELECTRIC AND ELECTRONICS Course Level: Lisans Course Code: EEE 07
More informationBasic Electronics Prof. Dr. Chitralekha Mahanta Department of Electronics and Communication Engineering Indian Institute of Technology, Guwahati
Basic Electronics Prof. Dr. Chitralekha Mahanta Department of Electronics and Communication Engineering Indian Institute of Technology, Guwahati Module: 2 Bipolar Junction Transistors Lecture-2 Transistor
More informationMicrosoft Mathematics for Educators:
Microsoft Mathematics for Educators: Familiarize yourself with the interface When you first open Microsoft Mathematics, you ll see the following elements displayed: 1. The Calculator Pad which includes
More informationSERIES-PARALLEL DC CIRCUITS
Name: Date: Course and Section: Instructor: EXPERIMENT 1 SERIES-PARALLEL DC CIRCUITS OBJECTIVES 1. Test the theoretical analysis of series-parallel networks through direct measurements. 2. Improve skills
More informationFinite Elements for 2 D Problems
Finite Elements for 2 D Problems General Formula for the Stiffness Matrix Displacements (u, v) in a plane element are interpolated from nodal displacements (ui, vi) using shape functions Ni as follows,
More informationJ.L. Kirtley Jr. Electric network theory deals with two primitive quantities, which we will refer to as: 1. Potential (or voltage), and
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.061 Introduction to Power Systems Class Notes Chapter 1: eiew of Network Theory J.L. Kirtley Jr. 1 Introduction
More informationStudent Exploration: Circuits
Name: Date: Student Exploration: Circuits Vocabulary: ammeter, circuit, current, ohmmeter, Ohm s law, parallel circuit, resistance, resistor, series circuit, voltage Prior Knowledge Questions (Do these
More informationBurgers vector, Burgers circuit, and Dislocation Line Direction
Burgers vector, Burgers circuit, and Dislocation Line Direction Keonwook Kang and Wei Cai November 21, 2007 The 1st version of this white paper was written after the online discussion between Keonwook
More informationFB-DC3 Electric Circuits: Series and Parallel Circuits
CREST Foundation Electrical Engineering: DC Electric Circuits Kuphaldt FB-DC3 Electric Circuits: Series and Parallel Circuits Contents 1. What are "series" and "parallel"? 2. Simple series circuits 3.
More informationV out. Figure 1: A voltage divider on the left, and potentiometer on the right.
Living with the Lab Fall 202 Voltage Dividers and Potentiometers Gerald Recktenwald v: November 26, 202 gerry@me.pdx.edu Introduction Voltage dividers and potentiometers are passive circuit components
More informationChapter 7 Direct-Current Circuits
Chapter 7 Direct-Current Circuits 7. Introduction...7-7. Electromotive Force...7-3 7.3 Resistors in Series and in Parallel...7-5 7.4 Kirchhoff s Circuit Rules...7-7 7.5 Voltage-Current Measurements...7-9
More information