Electromagnetic Topics #17-#18
Electromagnetic Topics #17-#18 ELCT 361
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This 41 page Class Notes was uploaded by Richard Martin on Sunday March 27, 2016. The Class Notes belongs to ELCT 361 at University of South Carolina taught by Dr. Huray in Winter 2016. Since its upload, it has received 30 views. For similar materials see Electromagnetics in Electrical Engineering at University of South Carolina.
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Date Created: 03/27/16
Topic #1 History, Definitions, and Measurements Wednesday, January 13, 2016 8:09 AM • Slide11 will be on first exam • Electric charge density causes electric fieldintensity • Electric fieldintensity causes electric charge density • Electric current density causes magnetic fieldintensity • Magnetic fieldintensity causes electric current density • e = 1.602176565 x 10 -19C • Electric charge density : ○ pv= • Electric current: ○ I = Electromagnetic Field Quantitiesand Units • Electric fieldintensity: • Electric fluxdensity or displacement: • Magnetic fieldintensity: • Magnetic flux density: Speed of Light relations to permittivityand permeability • , speed of light • , permeability of free space • HomogeneousConstitutive Relations • in free space • Topic #2 Vectors and Phasors Wednesday, January 13, 20169:08 AM ComplexVariable • • • • • • Harmonic Quantities • • Using KVL we get: • • • • Topic #3 Quaternions and Coordinate System Sunday, January 24, 201611:33 PM Vector Additionand Subtraction Multiplication - Scalar Product Multiplication - Vector Product Cartesian Coordinates • On exam • Cylindricalcoordinates slide13 • Cartesian- cylindrical coordinates and vis versa • Cartesian- spherical coordinates and visversa Cylindrical Coordinates Topic #4 Coordinate Transformations Monday, January 25, 2016 8:47 AM Spherical Transformations not on Exam 1 TransformingBase Vectors Transformation of Components Cylindrical Transformations Cylindrical Transformations Spherical Transformations Topic #5 Vector Transformation Wednesday, January 27, 2016 8:19 AM Useful Gradient Property DivergenceTheorem Will need for exam on notecard Curl of a 2-D vector field Monday February 1, 2016 Stoke's Theorem Laplacian of a Scalar Field Helmholtz'Theorems • Closedsurface at infinity Divergence of a Vector Field Divergence Theorem Topic #6 Gauss' Law, Electric Potential Monday, February 1, 2016 8:31 AM Electric field intensity Gauss' Law WednesdayFebruary 3, 2016 Good Questions 1. How will a charge Q distribute itself on the perfectly conducting sphere shown in Figure 3.16a? It will reside on the surface only, electric field inside would be zero, no charge in it. Outside the electric field intensity goes to 1/R 2. How will a charge Q distribute itself on the perfectly conducting spherical shell shown in Figure 3.16b? It will reside on the outside surface, by Gauss Law - Gaussian surface between to shells, electric field inside is zero 3. If a charge Q is located at the center of a conducting spherical shell, as shown in Figure 3.16c, how does the magnitude of the electric field intensity behave with radius R? Negativelycharged on inside shell (-Q) and positive charge on the outside (+Q), negative charged was pulled from the outside to leave it positive on surface. +Q -Q +Q = Gaussian surface nets +Q charge. If outside is grounded, outside becomes zero, electric field intensity on outside becomes zero 4. If a charge Q is located at the center of a conducting spherical shell and another charge -Q is added to the shell, how does the charge distribute itself and how does the electric field intensity vary with radius R? Charge on inside surface is -Q for net charge to be zero, this makes outside surface +Q but -Q on surface nets zero charge on surface Stokes Theorem on first exam Integral over surface Monday February 8, 2016 Notes Page 13 Notes Page 14 Topic #7 Multipole Electric Potential, Capacitance Monday, February8, 2016 8:46 AM Topic #8 Electric Flux Density, Energy, Coaxial Cable Wednesday, February 10, 2016 8:29 AM On Exam Electric Flux Density Monday February 15, 2016 Far field region, the distance is big compared to the size of the molecules 3.116 is good for most problems Electrostatic Energy for Discrete Charges W 12W 21 W 23Q ( 3 Slide 7 on exam, explain it The density at any one point is just There are no fields outside the coaxial cable Topic #9 Polarizability Thursday, February18, 2016 2:18 PM Topic #10 Permittivity Thursday, February18, 20162:22 PM Topic #11 Boundary Conditions, Green's Theorem Monday, February29, 20168:15 AM Topic #12 Uniqueness Theorem, Method of Images Monday, February29, 2016 8:16 AM Recreate the UniquenessTheorem for exam Topic #13 Extended Method of Images Monday, February29, 20168:44 AM Topic #14 Charges near Sphere, Planes Wednesday, March16, 2016 8:16 AM Topic #15 Steady Electric Currents Wednesday, March16, 2016 8:17 AM Topic #16 Superconductivity, Free Electron Gas, Band Theory Wednesday, March16, 2016 8:19 AM • Slide14 - are at maxvalues • Equation 5.45 ismissing a -1 exponent outside brackets • No questions about slides 18 & 19 Topic #17 Charge Relaxation, Conduction Electron Scattering, Current Density BC Monday, March21, 20168:41 AM Topic #18 Static Magnetic Fields Monday, March21, 2016 8:42 AM Slide4 on notecard