Electromagnetism What Is the Effect of the Number of Windings of Wire on the Strength of an Electromagnet?
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Glossary Physics (I-Introduction)
1 Glossary Physics (I-introduction) - Efficiency: The percent of the work put into a machine that is converted into useful work output; = work done / energy used [-]. = eta In machines: The work output of any machine cannot exceed the work input (<=100%); in an ideal machine, where no energy is transformed into heat: work(input) = work(output), =100%. Energy: The property of a system that enables it to do work. Conservation o. E.: Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Equilibrium: The state of an object when not acted upon by a net force or net torque; an object in equilibrium may be at rest or moving at uniform velocity - not accelerating. Mechanical E.: The state of an object or system of objects for which any impressed forces cancels to zero and no acceleration occurs. Dynamic E.: Object is moving without experiencing acceleration. Static E.: Object is at rest.F Force: The influence that can cause an object to be accelerated or retarded; is always in the direction of the net force, hence a vector quantity; the four elementary forces are: Electromagnetic F.: Is an attraction or repulsion G, gravit. const.6.672E-11[Nm2/kg2] between electric charges: d, distance [m] 2 2 2 2 F = 1/(40) (q1q2/d ) [(CC/m )(Nm /C )] = [N] m,M, mass [kg] Gravitational F.: Is a mutual attraction between all masses: q, charge [As] [C] 2 2 2 2 F = GmM/d [Nm /kg kg 1/m ] = [N] 0, dielectric constant Strong F.: (nuclear force) Acts within the nuclei of atoms: 8.854E-12 [C2/Nm2] [F/m] 2 2 2 2 2 F = 1/(40) (e /d ) [(CC/m )(Nm /C )] = [N] , 3.14 [-] Weak F.: Manifests itself in special reactions among elementary e, 1.60210 E-19 [As] [C] particles, such as the reaction that occur in radioactive decay. -
Electromagnetism
EINE INITIATIVE DER UNIVERSITÄT BASEL UND DES KANTONS AARGAU Swiss Nanoscience Institute Electromagnetism Electricity and magnetism are two aspects of the same phenomenon: electromagnetism. A moving electric charge (in other words, an electric current) generates a magnetic field. Every electromagnet consists of a coil, which is nothing more than a tightly wound wire. Many electromagnets also have an iron core to make the magnetic field stronger. The more times the wire is wound around the coil, the stronger the magnetic field produced by the same current. Demonstration: Using electric current to create a magnetic field What you’ll need • a large sheet of paper on which to conduct the experiment • a sheet of stiff card or plexiglass • two batteries connected in series • a coil of copper wire • iron filings • crocodile clips (optional) • a small piece of iron (e.g. a screw) to place inside the coil (iron core) Instructions 1. Position the coil so that you can easily access the two ends of the wire and connect them to the battery. I used crocodile clips to attach them to the battery contacts, but you could also use wooden clothes pegs or electrical tape. 2. Connect the two batteries in series (+ - + - ). 3. Place the plexiglass or card over the coil. 4. When the electrical circuit is closed, slowly scatter the iron filings on top. What happens? The iron filings arrange themselves along the magnetic field lines. If you look closely, you can make out a pattern. Turn a screw into an electromagnet What you’ll need • a long iron screw or nail • two pieces of insulated copper wire measuring 15 and 30 cm • two three-pronged thumb tacks • a metal paperclip • a small wooden board • pins or paperclips • a 4.5 V battery Instructions Switch 1. -
Transformation Optics for Thermoelectric Flow
J. Phys.: Energy 1 (2019) 025002 https://doi.org/10.1088/2515-7655/ab00bb PAPER Transformation optics for thermoelectric flow OPEN ACCESS Wencong Shi, Troy Stedman and Lilia M Woods1 RECEIVED 8 November 2018 Department of Physics, University of South Florida, Tampa, FL 33620, United States of America 1 Author to whom any correspondence should be addressed. REVISED 17 January 2019 E-mail: [email protected] ACCEPTED FOR PUBLICATION Keywords: thermoelectricity, thermodynamics, metamaterials 22 January 2019 PUBLISHED 17 April 2019 Abstract Original content from this Transformation optics (TO) is a powerful technique for manipulating diffusive transport, such as heat work may be used under fl the terms of the Creative and electricity. While most studies have focused on individual heat and electrical ows, in many Commons Attribution 3.0 situations thermoelectric effects captured via the Seebeck coefficient may need to be considered. Here licence. fi Any further distribution of we apply a uni ed description of TO to thermoelectricity within the framework of thermodynamics this work must maintain and demonstrate that thermoelectric flow can be cloaked, diffused, rotated, or concentrated. attribution to the author(s) and the title of Metamaterial composites using bilayer components with specified transport properties are presented the work, journal citation and DOI. as a means of realizing these effects in practice. The proposed thermoelectric cloak, diffuser, rotator, and concentrator are independent of the particular boundary conditions and can also operate in decoupled electric or heat modes. 1. Introduction Unprecedented opportunities to manipulate electromagnetic fields and various types of transport have been discovered recently by utilizing metamaterials (MMs) capable of achieving cloaking, rotating, and concentrating effects [1–4]. -
Lecture 8: Magnets and Magnetism Magnets
Lecture 8: Magnets and Magnetism Magnets •Materials that attract other metals •Three classes: natural, artificial and electromagnets •Permanent or Temporary •CRITICAL to electric systems: – Generation of electricity – Operation of motors – Operation of relays Magnets •Laws of magnetic attraction and repulsion –Like magnetic poles repel each other –Unlike magnetic poles attract each other –Closer together, greater the force Magnetic Fields and Forces •Magnetic lines of force – Lines indicating magnetic field – Direction from N to S – Density indicates strength •Magnetic field is region where force exists Magnetic Theories Molecular theory of magnetism Magnets can be split into two magnets Magnetic Theories Molecular theory of magnetism Split down to molecular level When unmagnetized, randomness, fields cancel When magnetized, order, fields combine Magnetic Theories Electron theory of magnetism •Electrons spin as they orbit (similar to earth) •Spin produces magnetic field •Magnetic direction depends on direction of rotation •Non-magnets → equal number of electrons spinning in opposite direction •Magnets → more spin one way than other Electromagnetism •Movement of electric charge induces magnetic field •Strength of magnetic field increases as current increases and vice versa Right Hand Rule (Conductor) •Determines direction of magnetic field •Imagine grasping conductor with right hand •Thumb in direction of current flow (not electron flow) •Fingers curl in the direction of magnetic field DO NOT USE LEFT HAND RULE IN BOOK Example Draw magnetic field lines around conduction path E (V) R Another Example •Draw magnetic field lines around conductors Conductor Conductor current into page current out of page Conductor coils •Single conductor not very useful •Multiple winds of a conductor required for most applications, – e.g. -
Electromagnetism Fall 2018 (Adapted from Student Guide for Electric Snap Circuits by Elenco Electronic Inc.)
VANDERBILT STUDENT VOLUNTEERS FOR SCIENCE http://studentorgs.vanderbilt.edu/vsvs Electromagnetism Fall 2018 (Adapted from Student Guide for Electric Snap Circuits by Elenco Electronic Inc.) Here are some Fun Facts for the lesson Wind turbines generate electricity by using the wind to turn their blades. These drive magnets around inside coils of electric wire Electromagnets are used in junk yards to pick up cars and other heavy metal objects Electromagnetics are used in home circuit breakers, door bells, magnetic door locks, amplifiers, telephones, loudspeakers, PCs, medical imaging, tape recorders Magnetic levitation trains use very strong electromagnets to carry the train on a cushion of magnetic repulsion. Floating reduces friction and allows the train to run more efficiently. Materials 16 sets (of 2) D-batteries in holder 16 sets (of 2) nails wrapped with copper wire 1 nail has 50 coils and the other 10 coils 16 cases Iron fillings (white paper glued beneath for better visibility) 16 paper clips attached to each other 16 bags of 10 paper clips 16 circuit boards with: 4 # 2 snaps 1 # 1snap 1 # 3 snaps 1 electromagnet 1 switch 1 red and 1 black lead 1 voltmeter/ammeter 1 motor 1 magnet 1 red spinner (blade) 1 iron rod and grommet 16 simple motors 16 Transparent generators Observation sheet Divide class into 16 pairs. I. Introduction Learning Goals: Students understand the main ideas about magnets and electromagnets. A. What is a Magnet? Ask students to tell you what they know about magnets. Make sure the following information is included: All magnets have the same properties: All magnets have 2 magnetic poles. -
Electromagnet Designs on Low-Inductance Power Flow Platforms for the Magnetized Liner Inertial Fusion (Maglif) Concept at Sandia
2018 IEEE International Power Modulator and High Voltage Conference Contribution ID: 225 Type: Oral Presentation Electromagnet Designs on Low-Inductance Power Flow Platforms for the Magnetized Liner Inertial Fusion (MagLIF) concept at Sandia’s Z Facility* Wednesday, 6 June 2018 11:00 (30 minutes) Sandia National Laboratories is researching an inertial confinement fusion concept named MagLIF [1] –Mag- netized Liner Inertial Fusion. MagLIF utilizes Sandia’s Z Machine to radially compress a small cylindrical volume of pre-magnetized and laser-preheated deuterium fuel. These initial conditions appreciably relax the radial convergence requirements to realize fusion-relevant fuel conditions on the Z accelerator. The configu- ration of these experiments imposes unique design criteria on the external electromagnetic coils that are used to diffuse magnetic field into the Z target and bulky power flow conductors. Since 2013, several coildesigns have been fielded to magnetize the ~75cm3 target region to 10-15T while achieving field uniformity within1% in the fuel. These Helmholtz-like coil pairs require an extension of the Z vacuum transmission lines, raising total system inductance and limiting peak current to below 18MA. The MagLIF team will study scaling of fusion yield with increased drive current, magnetic field, and deposited laser energy. Planned experimental campaigns require parallel design efforts for Z-Machine power flow hardware and electromagnets to enable 15 – 20T fuel magnetization while simultaneously delivering 18-20 MA machine current. Simultaneous operation of 20 – 25T with 20 - 22MA is also in development. We present the design of a new coil that achieves these field levels in the reduced-inductance Z feed geometry. -
Make a Magnet Hands-On Activity
Make a Magnet Hands-On Activity Background Information In 1820, Danish physicist Hans Christian Oersted discovered that a compass was affected when a current flowed through a nearby wire. Not long after that, André Marie Ampëre discovered that coiled wire acted like a bar magnet when a current was passed through it. He also found that he could turn an iron rod into a temporary bar magnet when he coiled electric wire around the rod. In 1831, Michael Faraday proved that magnetism and electricity are related. He showed that when a bar magnet was placed within a wire coil, the magnet produced an electric current. In this activity, you are going to use electricity to turn a nail into an electromagnet. What You Need ♦ 4-inch iron or steel nail ♦ 24-inch piece of thin-gauge wire with 1-inch of insulation removed from each end ♦ D-cell flashlight battery ♦ 10 steel paperclips What To Do 1. Is the nail magnetic? See if you can use it to pick up the paper clips. Write your observations on the attached worksheet. 2. Wrap the center portion of the wire around the nail 10 times so that it forms a coil. You should have extra wire at both ends. 3. Attach one end of the wire to the (+) terminal of the battery. Then, attach the other end of the wire to the (-) terminal. 4. Is the electrified nail magnetic? Bring the end of it close to the paper clips, making sure that the wires stay attached to the battery. Write your observations on the worksheet. -
TFE4120 Electromagnetism: Crash Course
TFE4120 Electromagnetism: crash course Intensive course: 7-day lecture including exercises. Teacher: Anyuan Chen, Post-doctor in electrical power engineering, room E-421. e-post: [email protected] Assistant: Hallvar Haugdal E-451. [email protected]. Exercises help: proposal time 13:00-15:00 place: E-451. Paticipants: should have Bsc in electronic, electrical/ power engineering. Aim of the course: Give students a minimum of pre-requisities to follow a 2-year master program in electronics or electrical /power engineering. Webpage: https://www.ntnu.no/wiki/display/tfe4120/Crash+course+in+Electromagnetics+2017 All information is posted there . Lecture1: electro-magnetism and vector calulus 1) What does electro-magnetism mean? 2) Brief induction about Maxwell equations 3) Electric force: Coulomb’s law 4) Vector calulus (pure mathmatics) Electro-magnetism Electro-magnetism: interaction between electricity and magnetism. Michael Faraday (1791-1867) • In 1831 Faraday observed that a moving magnet could induce a current in a circuit. • He also observed that a changing current could, through its magnetic effects, induce a current to flow in another circuit. James Clerk Maxwell: (1839-1879) • he established the foundations of electricity and magnetism as electromagnetism. Electromagnetism: Maxwell equations • A static distribution of charges produces an electric field • Charges in motion (an electrical current) produce a magnetic field • A changing magnetic field produces an electric field, and a changing electric field produces a magnetic field. Electric and Magnetic fields can produce forces on charges Gauss’ law Faraday’s law Ampere’s law Electricity and magnetism had been unified into electromagnetism! Coulomb’s law: force between electrostatic charges 풒ퟏ풒ퟐ 풒ퟏ풒ퟐ Scalar: 푭 = 풌 ퟐ = ퟐ 풓ퟏퟐ ퟒ흅휺ퟎ풓ퟏퟐ 풒ퟏ풒ퟐ Vector: 푭 = ퟐ 풓ෞퟏퟐ ퟒ흅휺ퟎ풓ퟏퟐ 풓ෞퟏퟐ is just for direction, its absolut value is 1. -
Roadmap on Transformation Optics 5 Martin Mccall 1,*, John B Pendry 1, Vincenzo Galdi 2, Yun Lai 3, S
Page 1 of 59 AUTHOR SUBMITTED MANUSCRIPT - draft 1 2 3 4 Roadmap on Transformation Optics 5 Martin McCall 1,*, John B Pendry 1, Vincenzo Galdi 2, Yun Lai 3, S. A. R. Horsley 4, Jensen Li 5, Jian 6 Zhu 5, Rhiannon C Mitchell-Thomas 4, Oscar Quevedo-Teruel 6, Philippe Tassin 7, Vincent Ginis 8, 7 9 9 9 6 10 8 Enrica Martini , Gabriele Minatti , Stefano Maci , Mahsa Ebrahimpouri , Yang Hao , Paul Kinsler 11 11,12 13 14 15 9 , Jonathan Gratus , Joseph M Lukens , Andrew M Weiner , Ulf Leonhardt , Igor I. 10 Smolyaninov 16, Vera N. Smolyaninova 17, Robert T. Thompson 18, Martin Wegener 18, Muamer Kadic 11 18 and Steven A. Cummer 19 12 13 14 Affiliations 15 1 16 Imperial College London, Blackett Laboratory, Department of Physics, Prince Consort Road, 17 London SW7 2AZ, United Kingdom 18 19 2 Field & Waves Lab, Department of Engineering, University of Sannio, I-82100 Benevento, Italy 20 21 3 College of Physics, Optoelectronics and Energy & Collaborative Innovation Center of Suzhou Nano 22 Science and Technology, Soochow University, Suzhou 215006, China 23 24 4 University of Exeter, Department of Physics and Astronomy, Stocker Road, Exeter, EX4 4QL United 25 26 Kingdom 27 5 28 School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, B15 2TT, 29 United Kingdom 30 31 6 KTH Royal Institute of Technology, SE-10044, Stockholm, Sweden 32 33 7 Department of Physics, Chalmers University , SE-412 96 Göteborg, Sweden 34 35 8 Vrije Universiteit Brussel Pleinlaan 2, 1050 Brussel, Belgium 36 37 9 Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, University of Siena, Via Roma, 38 39 56 53100 Siena, Italy 40 10 41 School of Electronic Engineering and Computer Science, Queen Mary University of London, 42 London E1 4FZ, United Kingdom 43 44 11 Physics Department, Lancaster University, Lancaster LA1 4 YB, United Kingdom 45 46 12 Cockcroft Institute, Sci-Tech Daresbury, Daresbury WA4 4AD, United Kingdom. -
Electromagnetism
30 Quick questions: Answer these in your book Module 7 Electromagnetism FOUNDATION 1 Where are the magnetic forces strongest in a magnet? 2 What happens when two north poles are brought near each other? Knowledge Organiser 3 Which poles attract each other? 4 Is magnetism a contact or non-contact force? 5 What does a permanent magnet do that an electromagnet doesn’t? 6 A material that becomes a magnet when placed in a magnetic field is known as what? 7 Can induced magnetism be both attractive and repulsive? 8 Which metal is useful as an induced magnet? 9 Is steel a good choice to make an electromagnet? 10 How could you make an electromagnet in a school laboratory? 11 A region around a magnet where a force acts on another magnet or on a magnetic material is known as what? 12 What 3 elements can be magnetised? 13 Can a magnetic field repel a magnetic material? 14 What happens to the strength of a magnetic field as you move further away from a magnet? Name: 15 In which direction do magnetic field lines point? 16 What does a navigating compass contain? KEY WORDS/IDEAS TO REMEMBER 17 Why does a navigating compass work? 18 Draw the magnetic field lines around a bar magnet. Include arrows to show the direction of the field. Attract 19 How could you produce a magnetic field around a conducting Repel wire? 20 How is the strength of an electromagnet related to the current Induced magnet flowing through the wire? Permanent magnet 21 What is a solenoid? 22 How does making a coil (solenoid) out of a piece of wire affect the Poles strength of the magnetic -
Classical Electromagnetism
Classical Electromagnetism Richard Fitzpatrick Professor of Physics The University of Texas at Austin Contents 1 Maxwell’s Equations 7 1.1 Introduction . .................................. 7 1.2 Maxwell’sEquations................................ 7 1.3 ScalarandVectorPotentials............................. 8 1.4 DiracDeltaFunction................................ 9 1.5 Three-DimensionalDiracDeltaFunction...................... 9 1.6 Solution of Inhomogeneous Wave Equation . .................... 10 1.7 RetardedPotentials................................. 16 1.8 RetardedFields................................... 17 1.9 ElectromagneticEnergyConservation....................... 19 1.10 ElectromagneticMomentumConservation..................... 20 1.11 Exercises....................................... 22 2 Electrostatic Fields 25 2.1 Introduction . .................................. 25 2.2 Laplace’s Equation . ........................... 25 2.3 Poisson’sEquation.................................. 26 2.4 Coulomb’sLaw................................... 27 2.5 ElectricScalarPotential............................... 28 2.6 ElectrostaticEnergy................................. 29 2.7 ElectricDipoles................................... 33 2.8 ChargeSheetsandDipoleSheets.......................... 34 2.9 Green’sTheorem.................................. 37 2.10 Boundary Value Problems . ........................... 40 2.11 DirichletGreen’sFunctionforSphericalSurface.................. 43 2.12 Exercises....................................... 46 3 Potential Theory -
Electromechanical Motion Fundamentals
Electromechanical Motion Fundamentals • Electric Machine – device that can convert either mechanical energy to electrical energy or electrical energy to mechanical energy – mechanical to electrical: generator – electrical to mechanical: motor – all practical motors and generators convert energy from one form to another through the action of a magnetic field • Transformer – device that converts ac electric energy at one voltage level to ac electric energy at another voltage level Sensors & Actuators in Mechatronics K. Craig Electromechanical Motion Fundamentals 1 – It operates on the same principles as generators and motors, i.e., it depends on the action of a magnetic field to accomplish the change in voltage level • Motors, Generators, and Transformers are ubiquitous in modern daily life. Why? – Electric power is: • Clean • Efficient • Easy to transmit over long distances • Easy to control • Environmental benefits Sensors & Actuators in Mechatronics K. Craig Electromechanical Motion Fundamentals 2 • Purpose of this Study – provide basic knowledge of electromechanical motion devices for mechatronic engineers – focus on electromechanical rotational devices commonly used in low-power mechatronic systems • permanent magnet dc motor • brushless dc motor • stepper motor • Topics Covered: – Magnetic and Magnetically-Coupled Circuits – Principles of Electromechanical Energy Conversion Sensors & Actuators in Mechatronics K. Craig Electromechanical Motion Fundamentals 3 References • Electromechanical Motion Devices, P. Krause and O. Wasynczuk, McGraw Hill, 1989. • Electromechanical Dynamics, H. Woodson and J. Melcher, Wiley, 1968. • Electric Machinery Fundamentals, 3rd Edition, S. Chapman, McGraw Hill, 1999. • Driving Force, The Natural Magic of Magnets, J. Livingston, Harvard University Press, 1996. • Applied Electromagnetics, M. Plonus, McGraw Hill, 1978. • Electromechanics and Electric Machines, S. Nasar and L. Unnewehr, Wiley, 1979.