# Ppt on electromagnetic field

##### The Electromagnetic Spectrum and Light

vibrates or accelerates. Figure 2 shows that the fields are at right angles to each other. The Electromagnetic Spectrum and Light 18.1 Electromagnetic Waves The Electromagnetic Spectrum and Light The Electromagnetic Spectrum and Light 18.1 Electromagnetic Waves The Electromagnetic Spectrum and Light How They Travel Because changing electric fields produce changing magnetic fields and changing magnetic fields produce changing electric fields, the fields regenerate each other. Unlike mechanical waves, EM/

##### 21.2 Electromagnetism In 1820 Hans Oersted discovered how magnetism and electricity are ______________. A unit of measure of magnetic field strength, the.

the iron rod to become a ____________. An ________________ is a solenoid with a ferromagnetic core. The current can be used to turn the magnetic field ____ and ____. ferromagnetic increases magnet electromagnet onoff 21.2 Electromagnetism The strength of an electromagnet depends on… the ___________ in the solenoid the number of _________ in the coil the type of _________ The strength of an/

##### Electromagnetic Induction PHY232 Remco Zegers Room W109 – cyclotron building

currents  brakes: apply magnets to a brake disk. The induced current will produce a force counteracting the motion  metal detectors: The induced current in metals produces a field that is detected. PHY232 - Remco Zegers Electromagnetic Inductions 21 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx A moving bar  Two metal rods (green) placed parallel at a distance d are connected via a resistor R. A blue metal bar is/

##### Electromagnetic Induction PHY232 – Spring 2007 Jon Pumplin (Ppt courtesy of Remco Zegers)

produce a force counteracting the motion  metal detectors: The induced current in metals produces a field that is detected. PHY232 - Pumplin - Electromagnetic Induction 19 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx A moving bar  Two metal rods (green) placed parallel at a /the bar? What can we say about the force that is used to pull the blue bar? R B-field into the page Vd PHY232 - Pumplin - Electromagnetic Induction 20 answer  a) induced voltage? B: constant, cos  =1  A/  t=v/

##### Electromagnetic Induction PHY232 Remco Zegers Room W109 – cyclotron building

produce a force counteracting the motion  metal detectors: The induced current in metals produces a field that is detected. PHY232 - Remco Zegers Electromagnetic Inductions 22 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx A moving bar  Two metal rods (green) placed parallel at a /the bar? What can we say about the force that is used to pull the blue bar? R B-field into the page Vd PHY232 - Remco Zegers Electromagnetic Inductions 23 answer  a) induced voltage? B: constant, cos  =1  A/  t=/

##### 18.1 Electromagnetic Waves The waves that carry this girl’s cell phone conversation are not visible.

girl’s cell phone conversation are not visible. 18.1 Electromagnetic Waves I.Electromagnetic Waves A.Electromagnetic waves are transverse waves consisting of changing electric fields and changing magnetic fields. 1.Like mechanical waves, electromagnetic waves carry energy from place to place. 18.1 Electromagnetic Waves 2.Electromagnetic waves are produced by constantly changing electric fields and magnetic fields. a.electric field - a region of space exerts electric forces on charged/

##### Electromagnetism Introduction Section 0 Lecture 1 Slide 1 Lecture 33 Slide 1 INTRODUCTION TO Modern Physics PHYX 2710 Fall 2004 Physics of Technology—PHYS.

provides a centripetal acceleration. –If the charge is moving perpendicular to a uniform magnetic field, the particle will follow a circular path. Magnetic Forces Electromagnetism Introduction Section 0 Lecture 1 Slide 15 Lecture 33 Slide 15 INTRODUCTION TO Modern Physics/ a torque that tends to line up the plane of the loop perpendicular to the magnetic field. Magnetic Effects of Current Loops Electromagnetism Introduction Section 0 Lecture 1 Slide 21 Lecture 33 Slide 21 INTRODUCTION TO Modern Physics PHYX /

##### The Electromagnetic Spectrum The Nature of Electromagnetic Waves Waves of the Electromagnetic Spectrum Producing Visible Light Wireless Communication Table.

wave. According to Maxwells equations, a time-varying electric field generates a time-varying magnetic field and vice versa. Therefore, as an oscillating electric field generates an oscillating magnetic field, the magnetic field in turn generates an oscillating electric field, and so on. These oscillating fields together form a propagating electromagnetic wave. The Electromagnetic Spectrum What are Electromagnetic Waves? Electromagnetic waves are transverse waves that transfer both electrical and magnetic/

##### 8J Magnets and Electromagnets

hit it with a hammer. Put a magnetic material in a strong magnetic field. 8J Magnets and Electromagnets Contents 8J Magnets and Electromagnets Magnetic materials Magnetic fields Electromagnets Summary activities Making an electromagnet When electricity is passed through a coil of wire, the coil has a magnetic field around it. This is called an electromagnet. If the coil of wire is wrapped around a piece of iron, such/

© 2014 John Wiley & Sons, Inc. All rights reserved. 33-1 Electromagnetic Waves Travelling Electromagnetic Wave Electromagnetic Wave. Figure 1 shows how the electric field E and the magnetic field B change with time as one wavelength of the wave sweeps past the / 2 Figure 1 © 2014 John Wiley & Sons, Inc. All rights reserved. 33-1 Electromagnetic Waves Travelling Electromagnetic Wave 1.The electric and magnetic fields E and B are always perpendicular to the direction in which the wave is traveling. Thus,/

##### 18.1 Electromagnetic Waves The waves that carry this girl’s cell phone conversation are not visible.

, by changing electric fields, and by vibrating charges. What Are Electromagnetic Waves? 18.1 Electromagnetic Waves Electromagnetic waves are transverse waves because the fields are at right angles to the direction in which the wave travels. What Are Electromagnetic Waves? 18.1 Electromagnetic Waves How They Travel Changing electric fields produce changing magnetic fields, and changing magnetic fields produce changing electric fields, so the fields regenerate each other. Electromagnetic waves do not need/

##### FUNDAMENTALS OF ELECTRICAL ENGINEERING [ ENT 163 ] LECTURE #6a MAGNETISM AND ELECTROMAGNETISM HASIMAH ALI Programme of Mechatronics, School of Mechatronics.

concentric rings. The north pole of a compass placed in the electromagnetic field will point in the direction of the line of force. The field is stronger closer to the conductor and becomes weaker with increasing / the conductor moves through the magnetic field. ELECTROMAGNETIC INDUCTION Figure below shows a current inward through a wire in a magnetic field: ELECTROMAGNETIC INDUCTION  The electromagnetic field set up by the current interacts with the permanent magnetic field, as a result, the permanent /

##### Dr. Garry F. Gordon MD,DO,MD(H) Gordon Research Institute Benefit of Pulsed Electromagnetic Fields (PEMF) on Cells & Mitochondria.

nsc.ru/science/scidig/08/apr2.ssi The Power of the Heart’s Electromagnetic Field "The heart generates the largest electromagnetic field in the body… The electrical field as measured in an electrocardiogram (ECG) is about 60 times greater in/ for MEDLINE] Case Report Management of a tibial periprosthetic fracture following revision knee arthroplasty using a pulsed electromagnetic field stimulation device: a case report Ashtin Doorgakant, Mohammed A Bhutta and Hans Marynissen Trauma and Orthopaedics, North/

##### Copyright © 2009 Pearson Education, Inc. Chapter 31 Maxwell’s Equations and Electromagnetic Waves.

dielectric or magnetic materials, they are: Copyright © 2009 Pearson Education, Inc. Since a changing electric field produces a magnetic field, and a changing magnetic field produces an electric field, once sinusoidal fields are created they can propagate on their own. These propagating fields are called electromagnetic waves. 31-4 Production of Electromagnetic Waves ConcepTest 31.1aEM Waves I Plastic Copper A loop with an AC current produces a/

##### Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conceptual Physics Fundamentals Chapter 11: MAGNETISM AND ELECTROMAGNET.

increases as the number of loops increase in a current-carrying coil temporary magnet Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley Electric Currents and Magnetic Fields Electromagnet iron bar placed in a current-carrying coil most powerful—employs superconducting coils that eliminate the core applications –control charged-particle beams in high-energy accelerators –lift automobiles and other /

##### Copyright © 2009 Pearson Education, Inc. Chapter 31 Maxwell’s Equations and Electromagnetic Waves.

km above the ocean. Would this cause a noticeable delay in either case? Copyright © 2009 Pearson Education, Inc. Energy is stored in both electric and magnetic fields, giving the total energy density of an electromagnetic wave: Each field contributes half the total energy density: 31-8 Energy in EM Waves; the Poynting Vector Copyright © 2009 Pearson Education, Inc. This energy is transported by/

##### Electromagnetic Waves Chapter 23. Electromagnetic Theory Theoretical understanding Well developed by middle 1800’s Coulomb’s Law and Gauss’ Law explained.

velocity of the source relative to the observer A positive value of v rel corresponds to a source moving away from the observer Section 23.7 Fields The existence of electromagnetic waves means that electric and magnetic fields are real There is no other way to explain how an em wave can propagate through a vacuum, carrying energy and momentum The analogy with/

##### 18.1 Electromagnetic Waves Opener #4 - Wednesday, March 10, 2010 Complete the following questions using complete sentences. Section 17.3 assessment pg.

, by changing electric fields, and by vibrating charges. What Are Electromagnetic Waves? 18.1 Electromagnetic Waves Electromagnetic waves are transverse waves because the fields are at right angles to the direction in which the wave travels. What Are Electromagnetic Waves? 18.1 Electromagnetic Waves How They Travel Changing electric fields produce changing magnetic fields, and changing magnetic fields produce changing electric fields, so the fields regenerate each other. Electromagnetic waves do not need/

##### Chapter 18: The Electromagnetic Spectrum and Light 18.1 Electromagnetic Waves.

wave travels. How They Travel Changing electric fields produce changing magnetic fields, and changing magnetic fields produce changing electric fields, so the fields regenerate each other. Electromagnetic waves do not need a medium.Electromagnetic waves do not need a medium. The transfer of energy by electromagnetic waves traveling through matter or across space is called electromagnetic radiation.The transfer of energy by electromagnetic waves traveling through matter or across space/

##### Chpt 25 – Magnetism and Electromagnetic Induction Broadneck Physics Electromagnetism and ElectroMagnetic Induction.

We believe magnetism is caused by our old friends – electrons – as they both spin on their axis and rotate about the nucleus. Chpt 25 – Magnetism and Electromagnetic Induction The magnetic field of an individual iron atom is so strong that interactions among adjacent atoms cause large clusters of them to line up – these clusters are called magnetic domains. This iron is /

##### Chapter 18 The Electromagnetic Spectrum and Light 18.1 Electromagnetic Waves 18.2 The Electromagnetic Spectrum 18.3 Behavior of Light.

and how they travel 18.1 Electromagnetic Waves  What are Electromagnetic Waves?: How They Are Produced  Produced by constantly changing fields  Electric field-a field in a region of space that exerts electric forces on charged particles  Electric fields are produced by electrically charged particles and by changing magnetic fields 18.1 Electromagnetic Waves  What are Electromagnetic Waves?: How They Are Produced  Magnetic Field-a field in a region of space/

##### Light and Electromagnetic Radiation – Part 1 To accompany Pearson Physics PowerPoint Presentation by R. Schultz

the wire Maxwell added to these: Light and Electromagnetic Radiation – Part 1 13.1 What is EMR? a changing electric field in space produces a changing magnetic field a changing electric field in space produces a changing magnetic field a changing magnetic field in space produces a changing electric field a changing magnetic field in space produces a changing electric field This led to the idea of a wave/

##### Electromagnetic Waves Chapter 34. James Clerk Maxwell 1831-1879 Maxwell’s Theory Electricity and magnetism were originally thought to be unrelated Maxwell’s.

Clerk Maxwell 1831-1879 Maxwell’s Theory Stationary charges produce only electric fields Charges in uniform motion (constant velocity) produce electric and magnetic fields Charges that are accelerated produce electric and magnetic fields and electromagnetic waves A changing magnetic field produces an electric field A changing electric field produces a magnetic field These fields are in phase and, at any point, they both reach their maximum value at the/

##### 18.1 Electromagnetic Waves Chapter 18 The Electromagnetic Spectrum and Light Colorful neon lights brighten up a walkway in Chicago’s O’Hare Airport.

space, as well as through ____________. charge vacuum matter 18.1 Electromagnetic Waves Electromagnetic waves are _____________ waves consisting of changing ______________ fields and changing _______________ fields. What Are Electromagnetic Waves? Electric Field Magnetic Field Direction of Wave transverse electric magnetic 18.1 Electromagnetic Waves Like mechanical waves, electromagnetic waves carry _______________ from place to place. Electromagnetic waves differ from mechanical waves in how… –they are/

##### 1 Parasitic Extraction Step 1: Electromagnetic Field Solvers Luca Daniel Massachusetts Institute of Technology

plus wave term) 34 Overview Setups of Parasitic Extraction ProblemsSetups of Parasitic Extraction Problems –Capacitance Extraction (electrostatic) –RL Extraction (MQS) –Combined RLC Extraction (EMQS) –Electromagnetic Interference Analysis (fullwave) Electromagnetic field solversElectromagnetic field solvers –classification (time vs. frequency, differential vs. integral) –integral equation solvers in detail basis functionsbasis functions residual minimization (collocation and Galerkin)residual minimization/

##### EDEXCEL IGCSE / CERTIFICATE IN PHYSICS 6-1 Magnetism and Electromagnetism Edexcel IGCSE Physics pages 179 to 186 September 19 th 2012 Content applying.

magnetic material that loses its magnetisation once the current in the coil is switched off. solenoidstrengthironsoftturnscurrentelectromagnet WORD SELECTION: TRIPLE ONLY solenoid strength iron soft turns current electromagnet Online Simulations Bar magnet fieldBar magnet field - Fendt Faraday Electromagnetic LabFaraday Electromagnetic Lab - PhET - Play with a bar magnet and coils to learn about Faradays law. Move a bar magnet near one or two coils to make/

##### Lesson V “Electromagnetism” Matter & Energy. S.W.B.A.T. Explain how an electric charge creates a magnetic field Explain how an electric charge creates.

Loudspeakers use a solenoid wrapped around one pole of a permanent magnet Sound is reproduced as the changing current produces a change in magnetic fields Sound is reproduced as the changing current produces a change in magnetic fields Electromagnetic Devices The magnetic force moves the solenoid back & forth causing a thin membrane to vibrate The magnetic force moves the solenoid back & forth causing/

##### Magnets and Magnetic Fields Magnets Magnets attract iron-containing objects. Magnets have two distinct poles called the north pole and the south pole.

in a gasoline engine is a transformer. A Step-Up Transformer in an Auto Ignition System AC Circuits and Transformers Electromagnetic Waves Propagation of Electromagnetic Waves Electromagnetic waves travel at the speed of light and are associated with oscillating, perpendicular electric and magnetic fields. Electromagnetic waves are transverse waves; that is, the direction of travel is perpendicular to the the direction of oscillating electric and/

##### 1 The University of Mississippi Department of Electrical Engineering Center of Applied Electromagnetic Systems Research (CAESR) Atef Z. Elsherbeni

22 The University of Mississippi Department of Electrical Engineering Center of Applied Electromagnetic Systems Research (CAESR) Transformation of Scattered Fields The scattered field components from the g th cylinder in terms of the local coordinates of/gi 23 The University of Mississippi Department of Electrical Engineering Center of Applied Electromagnetic Systems Research (CAESR) Transformation of Scattered Fields The scattered field components from the g th cylinder in terms of the local coordinates of/

##### 1 Engineering Electromagnetics Essentials Chapter 7 Electromagnetic boundary conditions.

of incidence greater than the critical angle has been understood for both parallel and perpendicular polarisations.  Circuit law of parallel resistances can be appreciated from the electromagnetic boundary condition that the tangential component of electric field is continuous at the interface between two media.  Boundary conditions at the interface between two conducting media yield the law of refraction of current for time/

##### Electromagnetism INEL 4152 Ch 10 Sandra Cruz-Pol, Ph. D. ECE UPRM Mayag ü ez, PR.

A Wave Let’s look at a special case for simplicity without loosing generality: The electric field has only an x-componentThe electric field has only an x-component The field travels in z directionThe field travels in z direction Then we have Cruz-Pol, Electromagnetics UPRM To change back to time domain  From phasor  …to time domain Plane wave Propagation in Several Media 10/

##### Electromagnetism INEL 4152 Ch 10 Sandra Cruz-Pol, Ph. D. ECE UPRM Mayag ü ez, PR.

A Wave Let’s look at a special case for simplicity without loosing generality: The electric field has only an x-componentThe electric field has only an x-component The field travels in z directionThe field travels in z direction Then we have Cruz-Pol, Electromagnetics UPRM To change back to time domain  From phasor  …to time domain Plane wave Propagation in Several Media 10/

##### Electromagnetic waves -Review- Sandra Cruz-Pol, Ph. D. ECE UPRM Mayag ü ez, PR.

its phasor by j   Time integral is equivalent to dividing by the same term. Cruz-Pol, Electromagnetics UPRM Time-Harmonic fields (sines and cosines)  The wave equation can be derived from Maxwell equations, indicating that the changes in the fields behave as a wave, called an electromagnetic field.  Since any periodic wave can be represented as a sum of sines and cosines (using Fourier), then/

##### Chapter 25 Electromagnetic Waves. Units of Chapter 25 The Production of Electromagnetic Waves The Propagation of Electromagnetic Waves The Electromagnetic.

Units of Chapter 25 The Production of Electromagnetic Waves The Propagation of Electromagnetic Waves The Electromagnetic Spectrum Energy and Momentum in Electromagnetic Waves Polarization 25-1 The Production of Electromagnetic Waves Electromagnetic fields are produced by oscillating charges. 25-1 The Production of Electromagnetic Waves The previous image showed the electric field; a magnetic field is also generated, perpendicular both to the electric field and to the direction of propagation. The/

##### © Houghton Mifflin Harcourt Publishing Company Preview Objectives Electromagnetic Induction Characteristics of Induced Current Sample Problem Chapter 20.

of induction to solve problems involving induced emf and current. © Houghton Mifflin Harcourt Publishing Company Section 1 Electricity from Magnetism Chapter 20 Electromagnetic Induction Electromagnetic induction is the process of creating a current in a circuit by a changing magnetic field. A change in the magnetic flux through a conductor induces an electric current in the conductor. The separation of charges by the/

##### Electromagnetism INEL 4152 CH 9 Sandra Cruz-Pol, Ph. D. ECE UPRM Mayag ü ez, PR.

would produce electricity?  Eleven years later, and at the same time, (Mike) Faraday in London & (Joe) Henry in New York discovered that a time-varying magnetic field would produce an electric current! Cruz-Pol, Electromagnetics UPRM Electromagnetics was born!  This is Faraday’s Law - the principle of motors, hydro-electric generators and transformers operation. *Mention some examples of em waves Faraday’s Law/

##### 11.1 Essential Questions How does a vibrating electric charge produce an electromagnetic wave? What properties describe electromagnetic waves? How do electromagnetic.

travel through space where matter is not present.  Instead of transferring energy from particle to particle, electromagnetic waves travel by transferring energy between vibrating electric fields and magnetic fields. What are electromagnetic waves? Copyright © McGraw-Hill Education Electric and Magnetic Fields  Electric charges are surrounded by electric fields. An electric field enables charges to exert forces on each other even when they are far apart. An electric/

##### Chung-Ang University Field & Wave Electromagnetics CH 8. Plane Electromagnetic Waves Chap 8.1~8.3.

planes perpendicular to the direction of propagation. ( similarly for ) Chung-Ang University Field & Wave Electromagnetics 7-7.3 SOURCE-FREE FIELDS IN SIMPLE MEDIA Then, Homogeneous vector Helmholtz’s equations. If the wave is in/s equation using propagation constant : α : attenuation constant (Np/m). β : phase constant (rad/m). Chung-Ang University Field & Wave Electromagnetics 8.3 Plane Waves in Lossy Media 8-3.1 Low-Loss Dielectrics A low-loss dielectric - imperfect insulator with nonzero equivalent/

##### مکاترونیک مدرس : دکتر پدرام پیوندی. Magnetism & Electromagnetism 2.

other scrap iron and steel They are better than magnets because the magnetism can be turned off and on 16 Introduction to Electromagnetism A moving electric field creates a magnetic field that rotates around it A moving magnetic field creates an electric field that rotates around it The Right Hand Rule helps describe this 17 The Right Hand Rule First define positive electric current as/

##### Electromagnetic Waves

of electrons in a single direction. It is the motion of these electrons that creates the magnetic field around the wire. Changing electric and magnetic fields A changing magnetic field creates a changing electric field. The reverse is also true. A changing electric field creates a changing magnetic field. Electromagnetic waves are produced when something vibrates (an electric charge that moves back and forth). When an electric/

##### Magnetism and Electromagnetism

material that loses its magnetisation once the current in the coil is switched off. current strength solenoid turns iron electromagnet soft WORD SELECTION: solenoid iron strength turns electromagnet current soft 28 DC Motor Electromagnetic induction AC Generator Transformer Online Simulations Bar magnet field - Fendt Faraday Electromagnetic Lab - PhET - Play with a bar magnet and coils to learn about Faradays law. Move a bar magnet near/

##### Light, Sound and Electromagnetic Waves

are made by vibrating electric charges and can travel through space where matter is not present. Instead of transferring energy from particle to particle, electromagnetic waves travel by transferring energy between vibrating electric and magnetic fields. Electromagnetic Spectrum When you bring a magnet near a metal paper clip, the paper clip moves toward the magnet and sticks to it. The paper clip moved/

##### CH6 Static Magnetic Field

Generalizing I1, I2, I3, … IN, Consider Kth loop of N coupled loops Magnetic energy Total magnetic energy 6-12.1 Wm in terms of Field Quantities 其中 All space Vector identity Magnetic energy density Wm or c.f. Ex 6-20 (Ref. Ex 6-16) Wm in inner conductor Wm /between inner & outer Hence, 6-13 Magnetic forces & Torques electron move toward to x-dir. Creating a transverse -field. Steady state, net force is Zero. S.W.(OFF) S.W.(ON) system s.w. Two coils Home Work #6 P6-2, P6-4/

##### Today’s agendum: Electromagnetic Waves. Energy Carried by Electromagnetic Waves. Momentum and Radiation Pressure of an Electromagnetic Wave.

: for the radio station in the example on the previous two slides, calculate the average energy densities associated with the electric and magnetic field. Today’s agendum: Electromagnetic Waves. Energy Carried by Electromagnetic Waves. Momentum and Radiation Pressure of an Electromagnetic Wave. Momentum and Radiation Pressure EM waves carry linear momentum as well as energy. When this momentum is absorbed at a surface pressure/

##### Electromagnetics Electromagnetics 11-ES 207 Bhanu Prakash Assoc. Professor EEE Department L- T-P : 3-1-0 Credits: 4.

Home? Kitchen room Hall Bed room Bathroom Bhanu Prakash @ K L University Sources of Electromagnetic fields Bhanu Prakash @ K L University Sources of Electromagnetic fields Contd……  computers and related equipment  computer screens (especially the older types),  information/waves in this Lecture hall? Bhanu Prakash @ K L University Field distributions Electromagnetic fields inside a desktop computer Electromagnetic fields inside a Motor The H-field on the whole surface of an airplane Bhanu Prakash @ K L/

##### KS4 Physics Electromagnetism.

? _______ attract 9. What materials are attracted by magnets? _____________ iron and steel 10. Is magnetism a contact or non-contact force? ___________ non-contact Electromagnetism Magnets Magnetic fields Electromagnets Contents Electromagnetism Magnets Magnetic fields Electromagnets Summary activities What is an electromagnet? A coil of wire acts like a bar magnet when it has an electric current flowing through it. One end of the coil becomes a/

##### BENE 1113 PRINCIPLES OF ELECTRICAL AND ELECTRONICS

created around the wire in a specific direction. The magnetic field disappears when the current flow stop Visible affects of an electromagnetic field. ELECTROMAGNETISM Right Hand Rule To find the direction of the magnetic field. The field strength is not uniform throughout the magnetic field; the further away from the conductor, the weaker the field intensity. The magnetic field strength and flux density can be increased by increasing the/

##### ELEN 3371 Electromagnetics Fall 2008 1 Lecture 6: Maxwell’s Equations Instructor: Dr. Gleb V. Tcheslavski Contact: Office.

) (6.2.2) (6.2.3) (6.2.4) ELEN 3371 Electromagnetics Fall 2008 3 Maxwell’s equations And the constitutive relations: They relate the electromagnetic field to the properties of the material, in which the field exists. Together with the Maxwell’s equations, the constitutive relations completely describe the electromagnetic field. Even the EM fields in a nonlinear media can be described through a nonlinearity existing/

##### Maxwell’s Equations and Electromagnetic Waves

equations applied to empty space, the following relationships can be found: The simplest solutions to these partial differential equations are sinusoidal waves – electromagnetic waves: The speed of the electromagnetic wave is: Plane Electromagnetic Waves The vectors for the electric and magnetic fields in an em wave have a specific space-time behavior consistent with Maxwell’s equations Assume an em wave that travels in/

##### Maxwell’s Equations and Electromagnetic Waves

is which is exactly the speed of light. Production of Electromagnetic Waves Since a changing electric field produces a magnetic field, and a changing magnetic field produces an electric field, once sinusoidal fields are created they can propagate on their own. These propagating fields are called electromagnetic waves. Production of Electromagnetic Waves Oscillating charges will produce electromagnetic waves: Figure 31-6. Fields produced by charge flowing into conductors. It takes time/