Edmund Li. Where is defined as the mutual inductance between and and has the SI units of Henries (H).


 Clyde Carr
 1 years ago
 Views:
Transcription
1 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 through the surface. This mutual flux can be described as: Where is defined as the mutual inductance between and and has the SI units of Henries (H). If loop consists of turns, then the flux linkage can be denoted as: We can thus see that mutual inductance between two circuits is then the magnetic flux linkage with one circuit per unit current in the other. A more general definition of incremental mutual inductance is given by: By symmetry then, inductances on both loops will be identical:. If the medium is linear and isotropic, then the mutual SELF INDUCTANCE When the flux due to current links only with, itself, we refer to this phenomenon as self inductance the magnetic flux linkage per unit current in the loop itself: The self inductance of a loop depends on the geometrical shape and physical arrangement of the conductor, as well as on the permeability of the medium. With a linear medium, self inductance does not depend on the current in the loop or circuit nor on whether the loop is open or closed, or whether it is in the vicinity of another loop or circuit.
2 Thus, a conductor can be arranged in an appropriate shape to supply a certain amount of self inductance and is known as an inductor; a device which stores magnetic energy. From here, if we use inductance, we actually mean self inductance. To find the self inductance in a given inductor we must: 1. Choose a coordinate system 2. Assume a current I in the conducting wire 3. Find using Ampere s Law for symmetrical geometries or use BiotSavart s Law 4. Find the flux 5. Find the flux linkage: 6. Find the inductance Assume that N turns of wire are tightly wound on a toroidal fram of a rectangular cross section with inner radius a and outer radius b and height h. Assuming that the permeability of the medium is, find the self inductance of the toroidal coil. 1. Clearly we will select the cylindrical coordinate system 2. Assume a current I flows in the wire 3. Using Ampere s Law: 4. Finding flux can be done by: 5. The flux linkage is then: 6. And the self inductance is:
3 An air coaxial transmission line has a solid inner conductor of radius a and a verythin outer conductor of inner radius b. Determine the inductance per unit length of the line. only has a  component due to cylindrical symmetry and is different inside the inner conductor and between the inner and outer conductors. a) Inside the conductor: The current through a cross sectional area radius r is given by:, so using Ampere s law: b) The outside radius: Now, applying the definition of flux to an annular ring of radius r we find the annular ring s contribution to the flux outside the ring: The logic behind such an integration is that the only time that the current will not always flow through the whole cross section (especially at high frequencies) due to the skin effect. The current flowing through the annulus ring is given by: Thus replacing with : The first term is known as the internal inductance which is due to flux linkage internal to the solid conductor. The second term is the external inductance due to the flux linkage between the inner and the outer conductor.
4 Calculate the internal and external inductances per unit length of a transmission line consisting of two long parallel conducting wires of radius a that carry currents in opposite directions. The axes of the wires are separated by a distance d, which is much larger than a. The internal inductance per unit length for each conductor is, thus the total internal inductance is To calculate the external inductance per unit length, we assume a current I. Since currents flow in opposite directions, only a y component exists between the two transmission lines. The flux linkage per unit length is then: For. Thus: Thus the total self inductance (sum of internal and external self inductance) per unit length is:
5 An iron ring of relative permeability 100 is wound with 2 coils of 100 and 400 turns. The cross section area of the ring core is 4, and the mean circumference is 50 cm. Calculate: a) The self inductance of each of the two coils b) The mutual inductance of the coils c) The total self inductance of the coils when connected in series with windings in the same sense d) The total self inductance of the coils when connected in series with windings in opposition a) But b) Now: c) If the wires are connected in the same sense, the flux is additive d) If the wires are connected in the opposite sense:
6 A steel ring of 50 cm mean length, and cross section area of is uniformly wound with a coil of 500 turns and a flux density of 1 T is produced by an exciting current of 4A. a) Calculate the coil inductance b) Calculate the exciting current necessary to maintain this flux density with a gap of 0.5 cm with is cut in the ring c) Find the inductance of the coil with the gap in the ring a) b) c)
7 ENERGY IN MAGNETIC FIELD An emf is induced in the loop that opposes the current. An amount of work must be done to overcome this induced emf. Given that the voltage across the inductance is: Then from the definition of work, which is the power times the change in time, the work required to increase the current from 0 to I is given by: Since, for linear media, then we can express work as: When there are two or more magnetic circuits, then the magnetic energy must also consider mutual coupling. Consider first, loop 1 having a current rising from 0 to and with, then: Similarly for loop 2: But since there are 2 magnetic circuits, there is also mutual coupling, some of the magnetic flux due to links with loop 1, giving rise to an induced emf that must be overcome by a voltage to keep constant at. The work involved is: in order Thus, the total work done in raising the currents in loops and from zero to and respectively is the sum of : We generalized this for N loops as: Where for linear media.
8 MAGNETIC ENERGY FROM FIELD QUANTITIES Given that and when N=1: Since: Then we can rewrite magnetic energy as: And even still, so: Where V is the volume of the loop. From the following vector identity: When the surface is large, A falls as 1/R and H falls as have:, so the second term is negligible. We thus We may define the magnetic density as: Such that:
9 A permanent magnet specimen is magnetized by a strong electromagnet created by a coil. After full magnetization, the coil current is reduced to zero and the magnet is then keepered by 3 keeper sections labeled A, B and C. All 3 keeper sections are infinitely permeable. The dimensions of the magnet and keep sections are. The cross sections of the magnet and the keepers to the left of the dotted line XY are uniform. The depths of the magnet specimen and the keepers are the same. The DC magnetization characteristic of the permanent magnet is also shown. a) With all 3 keeper sections in place, find the B field in the magnet, and the keeper section C. What are the stored energies in the magnet and the keepers? b) Keeper section C is removed and replaced by air. Find the B field and the magnet energy in the magnet. Where does this energy come from? a) from the graph. Since the cross sectional areas are the same, and the flux is constant, then. Since and. Thus b) Using Ampere s Law: Note that the keepers have so they are not included in the above equation. Thus: Since then: Since Finding the intersection of the loadline with the BH curve yields: This stored energy comes from the act to removing the keeper C.
10 By using stored magnetic energy, determine the inductance per unit length of an air coaxial transmission line that has solid inner conductor of radius and a very thin outer conductor of inner radius b. In the inner conductor: Now since we are dealing with per unit length, the volume and area is the same thing, so On the outside conductor: Since:
Eðlisfræði 2, vor 2007
[ Assignment View ] [ Pri Eðlisfræði 2, vor 2007 28. Sources of Magnetic Field Assignment is due at 2:00am on Wednesday, March 7, 2007 Credit for problems submitted late will decrease to 0% after the deadline
More informationLast time : energy storage elements capacitor.
Last time : energy storage elements capacitor. Charge on plates Energy stored in the form of electric field Passive sign convention Vlt Voltage drop across real capacitor can not change abruptly because
More informationSlide 1 / 26. Inductance. 2011 by Bryan Pflueger
Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one
More informationEðlisfræði 2, vor 2007
[ Assignment View ] [ Print ] Eðlisfræði 2, vor 2007 30. Inductance Assignment is due at 2:00am on Wednesday, March 14, 2007 Credit for problems submitted late will decrease to 0% after the deadline has
More information6 J  vector electric current density (A/m2 )
Determination of Antenna Radiation Fields Using Potential Functions Sources of Antenna Radiation Fields 6 J  vector electric current density (A/m2 ) M  vector magnetic current density (V/m 2 ) Some problems
More informationChapter 20. Magnetic Induction Changing Magnetic Fields yield Changing Electric Fields
Chapter 20 Magnetic Induction Changing Magnetic Fields yield Changing Electric Fields Introduction The motion of a magnet can induce current in practical ways. If a credit card has a magnet strip on its
More informationApplication Note. So You Need to Measure Some Inductors?
So You Need to Measure Some nductors? Take a look at the 1910 nductance Analyzer. Although specifically designed for production testing of inductors and coils, in addition to measuring inductance (L),
More informationProblem 1 (25 points)
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2012 Exam Three Solutions Problem 1 (25 points) Question 1 (5 points) Consider two circular rings of radius R, each perpendicular
More informationAn equivalent circuit of a loop antenna.
3.2.1. Circuit Modeling: Loop Impedance A loop antenna can be represented by a lumped circuit when its dimension is small with respect to a wavelength. In this representation, the circuit parameters (generally
More informationObjectives. Capacitors 262 CHAPTER 5 ENERGY
Objectives Describe a capacitor. Explain how a capacitor stores energy. Define capacitance. Calculate the electrical energy stored in a capacitor. Describe an inductor. Explain how an inductor stores energy.
More informationMotor Fundamentals. DC Motor
Motor Fundamentals Before we can examine the function of a drive, we must understand the basic operation of the motor. It is used to convert the electrical energy, supplied by the controller, to mechanical
More informationSolution Derivations for Capa #11
Solution Derivations for Capa #11 Caution: The symbol E is used interchangeably for energy and EMF. 1) DATA: V b = 5.0 V, = 155 Ω, L = 8.400 10 2 H. In the diagram above, what is the voltage across the
More information12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance?
12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance? From Equation 325, L = E=(dI =dt) = 40 V=(100 A/s) = 0.4 H. 15. A cardboard
More informationTutorial One: Calculation of leakage inductance of transformer using FEM. 31.5 MVA, 132 kv/33kv, Y/, Ampereturns: 135024, No.
Tutorial One: Calculation of leakage inductance of transformer using FEM Consider a transformer with the following rating: 31.5 MVA, 132 kv/33kv, Y/, Ampereturns: 135024, No. of HV turns = 980 Although
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 informationA METHOD OF CALIBRATING HELMHOLTZ COILS FOR THE MEASUREMENT OF PERMANENT MAGNETS
A METHOD OF CALIBRATING HELMHOLTZ COILS FOR THE MEASUREMENT OF PERMANENT MAGNETS Joseph J. Stupak Jr, Oersted Technology Tualatin, Oregon (reprinted from IMCSD 24th Annual Proceedings 1995) ABSTRACT The
More informationElectromagnetism Laws and Equations
Electromagnetism Laws and Equations Andrew McHutchon Michaelmas 203 Contents Electrostatics. Electric E and Dfields............................................. Electrostatic Force............................................2
More informationCoupled Inductors. Introducing Coupled Inductors
Coupled Inductors From power distribution across large distances to radio transmissions, coupled inductors are used extensively in electrical applications. Their properties allow for increasing or decreasing
More information5. Measurement of a magnetic field
H 5. Measurement of a magnetic field 5.1 Introduction Magnetic fields play an important role in physics and engineering. In this experiment, three different methods are examined for the measurement of
More informationMutual Inductance and Transformers F3 3. r L = ω o
utual Inductance and Transformers F3 1 utual Inductance & Transformers If a current, i 1, flows in a coil or circuit then it produces a magnetic field. Some of the magnetic flux may link a second coil
More informationHomework #11 20311721 Physics 2 for Students of Mechanical Engineering
Homework #11 20311721 Physics 2 for Students of Mechanical Engineering 2. A circular coil has a 10.3 cm radius and consists of 34 closely wound turns of wire. An externally produced magnetic field of
More informationMagnetic Circuits. Outline. Ampere s Law Revisited Review of Last Time: Magnetic Materials Magnetic Circuits Examples
Magnetic Circuits Outline Ampere s Law Revisited Review of Last Time: Magnetic Materials Magnetic Circuits Examples 1 Electric Fields Magnetic Fields S ɛ o E da = ρdv B V = Q enclosed S da =0 GAUSS GAUSS
More information2. A conductor of length 2m moves at 4m/s at 30 to a uniform magnetic field of 0.1T. Which one of the following gives the e.m.f. generated?
Extra Questions  2 1. A straight length of wire moves through a uniform magnetic field. The e.m.f. produced across the ends of the wire will be maximum if it moves: a) along the lines of magnetic flux
More informationApril 1. Physics 272. Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html. Prof. Philip von Doetinchem philipvd@hawaii.
Physics 272 April 1 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272  Spring 14  von Doetinchem  164 Summary Gauss's
More informationCHAPTER 4 DESIGN OF INTEGRAL SLOT AND FRACTIONAL SLOT BRUSHLESS DC MOTOR
47 CHAPTER 4 DESIGN OF INTEGRAL SLOT AND FRACTIONAL SLOT BRUSHLESS DC MOTOR 4.1 INTRODUCTION This chapter deals with the design of 24 slots 8 poles, 48 slots 16 poles and 60 slots 16 poles brushless dc
More informationIron Powder Cores for Switchmode Power Supply Inductors. by: Jim Cox
HOME APPLICATION NOTES Iron Powder Cores for Switchmode Power Supply Inductors by: Jim Cox Purpose: The purpose of this application note is to cover the properties of iron powder as a magnetic core material
More informationInductors & Inductance. Electronic Components
Electronic Components Induction In 1824, Oersted discovered that current passing though a coil created a magnetic field capable of shifting a compass needle. Seven years later, Faraday and Henry discovered
More information1. A wire carries 15 A. You form the wire into a singleturn circular loop with magnetic field 80 µ T at the loop center. What is the loop radius?
CHAPTER 3 SOURCES O THE MAGNETC ELD 1. A wire carries 15 A. You form the wire into a singleturn circular loop with magnetic field 8 µ T at the loop center. What is the loop radius? Equation 33, with
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 informationPhysics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings
1 of 11 9/7/2012 1:06 PM Logged in as Julie Alexander, Instructor Help Log Out Physics 210 Q1 2012 ( PHYSICS210BRIDGE ) My Courses Course Settings Course Home Assignments Roster Gradebook Item Library
More informationMagnetic Fields. I. Magnetic Field and Magnetic Field Lines
Magnetic Fields I. Magnetic Field and Magnetic Field Lines A. The concept of the magnetic field can be developed in a manner similar to the way we developed the electric field. The magnitude of the magnetic
More informationCourse Syllabus: AP Physics C Electricity and Magnetism
Course Syllabus: AP Physics C Electricity and Magnetism Course Description: AP Physics C is offered as a second year physics course to students who are planning to major in the physical sciences or in
More informationInductance. Motors. Generators
Inductance Motors Generators Selfinductance Selfinductance occurs when the changing flux through a circuit arises from the circuit itself. As the current increases, the magnetic flux through a loop due
More informationInduced voltages and Inductance Faraday s Law
Induced voltages and Inductance Faraday s Law concept #1, 4, 5, 8, 13 Problem # 1, 3, 4, 5, 6, 9, 10, 13, 15, 24, 23, 25, 31, 32a, 34, 37, 41, 43, 51, 61 Last chapter we saw that a current produces a magnetic
More informationLecture 22. Inductance. Magnetic Field Energy. Outline:
Lecture 22. Inductance. Magnetic Field Energy. Outline: Selfinduction and selfinductance. Inductance of a solenoid. The energy of a magnetic field. Alternative definition of inductance. Mutual Inductance.
More informationChapter 22: Electric Flux and Gauss s Law
22.1 ntroduction We have seen in chapter 21 that determining the electric field of a continuous charge distribution can become very complicated for some charge distributions. t would be desirable if we
More informationDIRECT CURRENT GENERATORS
DIRECT CURRENT GENERATORS Revision 12:50 14 Nov 05 INTRODUCTION A generator is a machine that converts mechanical energy into electrical energy by using the principle of magnetic induction. This principle
More informationThe performance improvement by ferrite loading means  increasing,  increasing of ratio, implicitly related to the input impedance.
3.2.3. Ferrite Loading Magnetic ferrite loading can enhance a transmitting signal as high as 2 to 10 db for MHz [Devore and Bohley, 1977]. There is an optimum frequency range where ferrite loading is beneficial.
More informationMagnetic Field of a Circular Coil Lab 12
HB 112607 Magnetic Field of a Circular Coil Lab 12 1 Magnetic Field of a Circular Coil Lab 12 Equipment coil apparatus, BK Precision 2120B oscilloscope, Fluke multimeter, Wavetek FG3C function generator,
More informationLinear DC Motors. 15.1 Magnetic Flux. 15.1.1 Permanent Bar Magnets
Linear DC Motors The purpose of this supplement is to present the basic material needed to understand the operation of simple DC motors. This is intended to be used as the reference material for the linear
More informationScott Hughes 7 April 2005. Massachusetts Institute of Technology Department of Physics 8.022 Spring 2005. Lecture 15: Mutual and Self Inductance.
Scott Hughes 7 April 2005 151 Using induction Massachusetts nstitute of Technology Department of Physics 8022 Spring 2005 Lecture 15: Mutual and Self nductance nduction is a fantastic way to create EMF;
More informationTheory of Heating by Induction
CHAPTER 2 Theory of Heating by Induction INDUCTION HEATING was first noted when it was found that heat was produced in transformer and motor windings, as mentioned in the Chapter Heat Treating of Metal
More informationPHYS 222 Spring 2012 Final Exam. Closed books, notes, etc. No electronic device except a calculator.
PHYS 222 Spring 2012 Final Exam Closed books, notes, etc. No electronic device except a calculator. NAME: (all questions with equal weight) 1. If the distance between two point charges is tripled, the
More informationForce on a square loop of current in a uniform Bfield.
Force on a square loop of current in a uniform Bfield. F top = 0 θ = 0; sinθ = 0; so F B = 0 F bottom = 0 F left = I a B (out of page) F right = I a B (into page) Assume loop is on a frictionless axis
More information1. The diagram below represents magnetic lines of force within a region of space.
1. The diagram below represents magnetic lines of force within a region of space. 4. In which diagram below is the magnetic flux density at point P greatest? (1) (3) (2) (4) The magnetic field is strongest
More informationChapter 30 Inductance
Chapter 30 Inductance  Mutual Inductance  SelfInductance and Inductors  MagneticField Energy  The R Circuit  The C Circuit  The RC Series Circuit . Mutual Inductance  A changing current in
More informationIntroduction to Electricity & Magnetism. Dr Lisa JardineWright Cavendish Laboratory
Introduction to Electricity & Magnetism Dr Lisa JardineWright Cavendish Laboratory Examples of uses of electricity Christmas lights Cars Electronic devices Human body Electricity? Electricity is the presence
More informationRUPHYS2272015 ( RUPHY227F2015 ) My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman
Signed in as Jolie Cizewski, Instructor Help Sign Out RUPHYS2272015 ( RUPHY227F2015 ) My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman Course Home Assignments Roster
More informationChapter 22: Electric motors and electromagnetic induction
Chapter 22: Electric motors and electromagnetic induction The motor effect movement from electricity When a current is passed through a wire placed in a magnetic field a force is produced which acts on
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 informationpotential in the centre of the sphere with respect to infinity.
Umeå Universitet, Fysik 1 Vitaly Bychkov Prov i fysik, Electricity and Waves, 20060927, kl 16.0022.00 Hjälpmedel: Students can use any book. Define the notations you are using properly. Present your
More informationCapacitors in Circuits
apacitors in ircuits apacitors store energy in the electric field E field created by the stored charge In circuit apacitor may be absorbing energy Thus causes circuit current to be reduced Effectively
More informationDC GENERATOR THEORY. LIST the three conditions necessary to induce a voltage into a conductor.
DC Generators DC generators are widely used to produce a DC voltage. The amount of voltage produced depends on a variety of factors. EO 1.5 LIST the three conditions necessary to induce a voltage into
More informationDigital Energy ITI. Instrument Transformer Basic Technical Information and Application
g Digital Energy ITI Instrument Transformer Basic Technical Information and Application Table of Contents DEFINITIONS AND FUNCTIONS CONSTRUCTION FEATURES MAGNETIC CIRCUITS RATING AND RATIO CURRENT TRANSFORMER
More informationMagnetic electromechanical machines
Magnetic electromechanical machines Lorentz Force A magnetic field exerts force on a moving charge. The Lorentz equation: f = q(e + v B) f: force exerted on charge q E: electric field strength v: velocity
More informationExperiment 1 The DC Machine
Experiment 1 The DC Machine ECEN 4517 R. W. Erickson and D. Maksimovic The purpose of this experiment is to become familiar with operating principles, equivalent circuit models, and basic characteristics
More informationInductors. AC Theory. Module 3
Module 3 AC Theory What you ll learn in Module 3. Section 3.1 Electromagnetic Induction. Magnetic Fields around Conductors. The Solenoid. Section 3.2 Inductance & Back e.m.f. The Unit of Inductance. Factors
More information2D Magnetic Circuit Analysis for a Permanent Magnet Used in Laser Ablation Plume Expansion Experiments
University of California, San Diego UCSDLPLM0204 2D Magnetic Circuit Analysis for a Permanent Magnet Used in Laser Ablation Plume Expansion Experiments Xueren Wang, Mark Tillack and S. S. Harilal December
More informationAmpere's Law. Introduction. times the current enclosed in that loop: Ampere's Law states that the line integral of B and dl over a closed path is 0
1 Ampere's Law Purpose: To investigate Ampere's Law by measuring how magnetic field varies over a closed path; to examine how magnetic field depends upon current. Apparatus: Solenoid and path integral
More informationEE301 Lesson 14 Reading: 10.110.4, 10.1110.12, 11.111.4 and 11.1111.13
CAPACITORS AND INDUCTORS Learning Objectives EE301 Lesson 14 a. Define capacitance and state its symbol and unit of measurement. b. Predict the capacitance of a parallel plate capacitor. c. Analyze how
More informationVrieswijk, T & Srinivasan,A Amerongen,NL, 25 januari 2012
Theory Current Transformers Vrieswijk, T & Srinivasan,A Amerongen,NL, 25 januari 2012 Theory Current Transformers 25 januari 2012 Topics  Theory of current transformers (CTs)  Equivalent Circuit for
More informationEEE1001/PHY1002. Magnetic Circuits. The circuit is of length l=2πr. B andφ circulate
1 Magnetic Circuits Just as we view electric circuits as related to the flow of charge, we can also view magnetic flux flowing around a magnetic circuit. The sum of fluxes entering a point must sum to
More informationPhysics 221 Experiment 5: Magnetic Fields
Physics 221 Experiment 5: Magnetic Fields August 25, 2007 ntroduction This experiment will examine the properties of magnetic fields. Magnetic fields can be created in a variety of ways, and are also found
More informationwww.integratedsoft.com Electromagnetic Sensor Design: Key Considerations when selecting CAE Software
www.integratedsoft.com Electromagnetic Sensor Design: Key Considerations when selecting CAE Software Content Executive Summary... 3 Characteristics of Electromagnetic Sensor Systems... 3 Basic Selection
More informationForce on Moving Charges in a Magnetic Field
[ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after
More informationA wave lab inside a coaxial cable
INSTITUTE OF PHYSICS PUBLISHING Eur. J. Phys. 25 (2004) 581 591 EUROPEAN JOURNAL OF PHYSICS PII: S01430807(04)76273X A wave lab inside a coaxial cable JoãoMSerra,MiguelCBrito,JMaiaAlves and A M Vallera
More informationTransformed E&M I homework. Divergence and Curl of B (Ampereʼs Law) (Griffiths Chapter 5)
Transformed E&M I homework Divergence and Curl of B (Ampereʼs Law) (Griffiths Chapter 5) Divergence and curl of B (Connections between E and B, Ampere s Law) Question 1. B of cylinder with hole Pollack
More information13 ELECTRIC MOTORS. 13.1 Basic Relations
13 ELECTRIC MOTORS Modern underwater vehicles and surface vessels are making increased use of electrical actuators, for all range of tasks including weaponry, control surfaces, and main propulsion. This
More informationLab 14: 3phase alternator.
Lab 14: 3phase alternator. Objective: to obtain the noload saturation curve of the alternator; to determine the voltage regulation characteristic of the alternator with resistive, capacitive, and inductive
More informationCrosstalk effects of shielded twisted pairs
This article deals with the modeling and simulation of shielded twisted pairs with CST CABLE STUDIO. The quality of braided shields is investigated with respect to perfect solid shields. Crosstalk effects
More informationReview Questions PHYS 2426 Exam 2
Review Questions PHYS 2426 Exam 2 1. If 4.7 x 10 16 electrons pass a particular point in a wire every second, what is the current in the wire? A) 4.7 ma B) 7.5 A C) 2.9 A D) 7.5 ma E) 0.29 A Ans: D 2.
More informationHuman Exposure to Outdoor PLC System
1602 PIERS Proceedings, Marrakesh, MOROCCO, March 20 23, 2011 Human Exposure to Outdoor PLC System Vicko Doric 1, Dragan Poljak 1, and Khalil El Khamlichi Drissi 2 1 University of Split, Croatia 2 Blaise
More informationSelecting IHLP Composite Inductors for NonIsolated Converters Utilizing Vishay s Application Sheet
VISHAY DALE www.vishay.com Magnetics Selecting IHLP Composite Inductors for NonIsolated Converters INTRODUCTION This application note will provide information to assist in the specification of IHLP composite
More informationExercises on Voltage, Capacitance and Circuits. A d = (8.85 10 12 ) π(0.05)2 = 6.95 10 11 F
Exercises on Voltage, Capacitance and Circuits Exercise 1.1 Instead of buying a capacitor, you decide to make one. Your capacitor consists of two circular metal plates, each with a radius of 5 cm. The
More information11. Sources of Magnetic Fields
11. Sources of Magnetic Fields S. G. Rajeev February 24, 2009 1 Magnetic Field Due to a Straight Wire We saw that electric currents produce magnetic fields. The simplest situation is an infinitely long,
More information1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole.
Exam Name 1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole. 2) Which of the following statements is correct? A) Earth's north pole is magnetic north. B) The north
More informationCoupling Effect in Substation Ground Measurements
SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol. 9, No. 3, October 2012, 315324 UDK: 621.316.13.011.2 DOI: 10.2298/SJEE1203315F Coupling Effect in Substation Ground Measurements Alex Farber 1, Boris Katz
More informationPhysics 25 Exam 3 November 3, 2009
1. A long, straight wire carries a current I. If the magnetic field at a distance d from the wire has magnitude B, what would be the the magnitude of the magnetic field at a distance d/3 from the wire,
More informationSLOT FRINGING EFFECT ON THE MAGNETIC CHARACTERISTICS OF ELECTRICAL MACHINES
Journal of ELECTRICAL ENGINEERING, VOL. 60, NO. 1, 2009, 18 23 SLOT FRINGING EFFECT ON THE MAGNETIC CHARACTERISTICS OF ELECTRICAL MACHINES Mohammad B. B. Sharifian Mohammad R. Feyzi Meysam Farrokhifar
More informationPHY114 S11 Term Exam 3
PHY4 S Term Exam S. G. Rajeev Mar 2 20 2:0 pm to :45 pm PLEASE write your workshop number and your workshop leader s name at the top of your book, so that you can collect your graded exams at the workshop.
More informationModule 22: Inductance and Magnetic Field Energy
Module 22: Inductance and Magnetic Field Energy 1 Module 22: Outline Self Inductance Energy in Inductors Circuits with Inductors: RL Circuit 2 Faraday s Law of Induction dφ = B dt Changing magnetic flux
More informationChapter 11. Inductors ISU EE. C.Y. Lee
Chapter 11 Inductors Objectives Describe the basic structure and characteristics of an inductor Discuss various types of inductors Analyze series inductors Analyze parallel inductors Analyze inductive
More informationChapter 33. The Magnetic Field
Chapter 33. The Magnetic Field Digital information is stored on a hard disk as microscopic patches of magnetism. Just what is magnetism? How are magnetic fields created? What are their properties? These
More informationTECHNICAL GUIDE. Call 8006242766 or visit 1 SOLENOID DESIGN & OPERATION
Definition & Operation Linear solenoids are electromechanical devices which convert electrical energy into a linear mechanical motion used to move an external load a specified distance. Current flow through
More informationSYNCHRONOUS MACHINES
SYNCHRONOUS MACHINES The geometry of a synchronous machine is quite similar to that of the induction machine. The stator core and windings of a threephase synchronous machine are practically identical
More information8 Speed control of Induction Machines
8 Speed control of Induction Machines We have seen the speed torque characteristic of the machine. In the stable region of operation in the motoring mode, the curve is rather steep and goes from zero torque
More informationRevision Calcs. 1. The flux produced by a magnet is 10mWb. Determine the flux density if the area of the pole is 250 mm 2
EMA Revision Calcs Miller College Revision Calcs Revision Calcs 1. The flux produced by a magnet is 10mWb. Determine the flux density if the area of the pole is 250 mm 2 2. For the magnet in the previous
More informationOutline. Systems and Signals 214 / 244 & Energy Systems 244 / 344. Ideal Inductor. Ideal Inductor (cont... )
Outline Systems and Signals 214 / 244 & Energy Systems 244 / 344 Inductance, Leakage Inductance, Mutual Inductance & Transformers 1 Inductor revision Ideal Inductor NonIdeal Inductor Dr. P.J. Randewijk
More informationCoupling Magnetic Signals to a SQUID Amplifier
SQUID Application Note 1050 Coupling Magnetic Signals to a SQUID Amplifier Matching the effective inductances of the Pickup Coil and the Input Coil to detect and couple magnetic flux maximizes the sensitivity
More informationAP Physics C: Electricity and Magnetism: Syllabus 3
AP Physics C: Electricity and Magnetism: Syllabus 3 Scoring Components SC1 SC2 SC3 SC SC5 SC6 SC7 The course provides and provides instruction in electrostatics. The course provides and provides instruction
More informationTwo vectors are equal if they have the same length and direction. They do not
Vectors define vectors Some physical quantities, such as temperature, length, and mass, can be specified by a single number called a scalar. Other physical quantities, such as force and velocity, must
More informationAP R Physics C Electricity and Magnetism Syllabus
AP R Physics C Electricity and Magnetism Syllabus 1 Prerequisites and Purposes of AP R C E & M AP R Physics C Electricity and Magnetism is the second course in a twocourse sequence. It is offered in the
More informationphysics 111N electric potential and capacitance
physics 111N electric potential and capacitance electric potential energy consider a uniform electric field (e.g. from parallel plates) note the analogy to gravitational force near the surface of the Earth
More informationBasics of Electricity
Basics of Electricity Generator Theory PJM State & Member Training Dept. PJM 2014 8/6/2013 Objectives The student will be able to: Describe the process of electromagnetic induction Identify the major components
More informationDEGREE: Bachelor's Degree in Industrial Electronics and Automation COURSE: 1º TERM: 2º WEEKLY PLANNING
SESSION WEEK COURSE: Physics II DEGREE: Bachelor's Degree in Industrial Electronics and Automation COURSE: 1º TERM: 2º WEEKLY PLANNING DESCRIPTION GROUPS (mark ) Indicate YES/NO If the session needs 2
More informationPhysics 1653 Exam 3  Review Questions
Physics 1653 Exam 3  Review Questions 3.0 Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but
More informationChapter 30  Magnetic Fields and Torque. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 30  Magnetic Fields and Torque A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module, you should
More informationG019.A (4/99) UNDERSTANDING COMMON MODE NOISE
UNDERSTANDING COMMON MODE NOISE PAGE 2 OF 7 TABLE OF CONTENTS 1 INTRODUCTION 2 DIFFERENTIAL MODE AND COMMON MODE SIGNALS 2.1 Differential Mode signals 2.2 Common Mode signals 3 DIFFERENTIAL AND COMMON
More informationToroids. Toroids. Design Considerations
Ferrite toroids provide an often convenient and very effective shape for many wide band, pulse and power transformers and inductors. The continuous magnetic path yields the highest effective permeability
More informationImproved PFC Boost Choke using a QuasiPlanar Winding Configuration Dave Shonts Schott Corporation 1000 Parkers Lake Road Wayzata, MN 55391
Improved PFC Boost Choke using a QuasiPlanar Winding Configuration Dave Shonts Schott Corporation 1000 Parkers Lake Road Wayzata, MN 55391 Abstract A novel approach to boost inductor design using a quasiplanar
More information